This document discusses the development of new finite element techniques for computational solid mechanics. It notes limitations of existing techniques for problems involving incompressibility, contact, and dynamics. Bézier elements are proposed as an alternative that addresses these issues. Quadratic Bézier triangles and tetrahedra are described, which have advantageous properties for explicit dynamics schemes including ideal mass lumping. Methods for generating meshes and applying Dirichlet boundary conditions with these elements are presented. The B-bar and F-bar formulations are discussed, which improve the bending performance of the elements. Numerical examples demonstrate the effectiveness of the new approaches.
Special Plenary Lecture at the International Conference on VIBRATION ENGINEERING AND TECHNOLOGY OF MACHINERY (VETOMAC), Lisbon, Portugal, September 10 - 13, 2018
http://www.conf.pt/index.php/v-speakers
Propagation of uncertainties in complex engineering dynamical systems is receiving increasing attention. When uncertainties are taken into account, the equations of motion of discretised dynamical systems can be expressed by coupled ordinary differential equations with stochastic coefficients. The computational cost for the solution of such a system mainly depends on the number of degrees of freedom and number of random variables. Among various numerical methods developed for such systems, the polynomial chaos based Galerkin projection approach shows significant promise because it is more accurate compared to the classical perturbation based methods and computationally more efficient compared to the Monte Carlo simulation based methods. However, the computational cost increases significantly with the number of random variables and the results tend to become less accurate for a longer length of time. In this talk novel approaches will be discussed to address these issues. Reduced-order Galerkin projection schemes in the frequency domain will be discussed to address the problem of a large number of random variables. Practical examples will be given to illustrate the application of the proposed Galerkin projection techniques.
ICML2016: Low-rank tensor completion: a Riemannian manifold preconditioning a...Hiroyuki KASAI
The presentation in ICML2016 at New York, USA on June 20, 2016.
We propose a novel Riemannian manifold preconditioning approach for the tensor completion problem with rank constraint. A novel Riemannian metric or inner product is proposed that exploits the least-squares structure of the cost function and takes into account the structured symmetry that exists in Tucker decomposition. The specific metric allows to use the versatile framework of Riemannian optimization on quotient manifolds to develop preconditioned nonlinear conjugate gradient and stochastic gradient descent algorithms for batch and online setups, respectively. Concrete matrix representations of various optimization-related ingredients are listed. Numerical comparisons suggest that our proposed algorithms robustly outperform state-of-the-art algorithms across different synthetic and real-world datasets.
Riemannian stochastic variance reduced gradient on Grassmann manifold (ICCOPT...Hiroyuki KASAI
Stochastic variance reduction algorithms have recently become popular for minimizing the average of a large, but finite, number of loss functions. In this paper, we propose a novel Riemannian extension of the Euclidean stochastic variance reduced gradient algorithm (R-SVRG) to a compact manifold search space. To this end, we show the developments on the Grassmann manifold. The key challenges of averaging, addition, and subtraction of multiple gradients are addressed with notions like logarithm mapping and parallel translation of vectors on the Grassmann manifold. We present a global convergence analysis of the proposed algorithm with a decay step-size and a local convergence rate analysis under a fixed step-size with under some natural assumptions. The proposed algorithm is applied on a number of problems on the Grassmann manifold like principal components analysis, low-rank matrix completion, and the Karcher mean computation. In all these cases, the proposed algorithm outperforms the standard Riemannian stochastic gradient descent algorithm.
This talk is about the analysis of nonlinear energy harvesters. A particular example of an inverted beam harvester proposed by our group has been discussed in details.
Special Plenary Lecture at the International Conference on VIBRATION ENGINEERING AND TECHNOLOGY OF MACHINERY (VETOMAC), Lisbon, Portugal, September 10 - 13, 2018
http://www.conf.pt/index.php/v-speakers
Propagation of uncertainties in complex engineering dynamical systems is receiving increasing attention. When uncertainties are taken into account, the equations of motion of discretised dynamical systems can be expressed by coupled ordinary differential equations with stochastic coefficients. The computational cost for the solution of such a system mainly depends on the number of degrees of freedom and number of random variables. Among various numerical methods developed for such systems, the polynomial chaos based Galerkin projection approach shows significant promise because it is more accurate compared to the classical perturbation based methods and computationally more efficient compared to the Monte Carlo simulation based methods. However, the computational cost increases significantly with the number of random variables and the results tend to become less accurate for a longer length of time. In this talk novel approaches will be discussed to address these issues. Reduced-order Galerkin projection schemes in the frequency domain will be discussed to address the problem of a large number of random variables. Practical examples will be given to illustrate the application of the proposed Galerkin projection techniques.
ICML2016: Low-rank tensor completion: a Riemannian manifold preconditioning a...Hiroyuki KASAI
The presentation in ICML2016 at New York, USA on June 20, 2016.
We propose a novel Riemannian manifold preconditioning approach for the tensor completion problem with rank constraint. A novel Riemannian metric or inner product is proposed that exploits the least-squares structure of the cost function and takes into account the structured symmetry that exists in Tucker decomposition. The specific metric allows to use the versatile framework of Riemannian optimization on quotient manifolds to develop preconditioned nonlinear conjugate gradient and stochastic gradient descent algorithms for batch and online setups, respectively. Concrete matrix representations of various optimization-related ingredients are listed. Numerical comparisons suggest that our proposed algorithms robustly outperform state-of-the-art algorithms across different synthetic and real-world datasets.
Riemannian stochastic variance reduced gradient on Grassmann manifold (ICCOPT...Hiroyuki KASAI
Stochastic variance reduction algorithms have recently become popular for minimizing the average of a large, but finite, number of loss functions. In this paper, we propose a novel Riemannian extension of the Euclidean stochastic variance reduced gradient algorithm (R-SVRG) to a compact manifold search space. To this end, we show the developments on the Grassmann manifold. The key challenges of averaging, addition, and subtraction of multiple gradients are addressed with notions like logarithm mapping and parallel translation of vectors on the Grassmann manifold. We present a global convergence analysis of the proposed algorithm with a decay step-size and a local convergence rate analysis under a fixed step-size with under some natural assumptions. The proposed algorithm is applied on a number of problems on the Grassmann manifold like principal components analysis, low-rank matrix completion, and the Karcher mean computation. In all these cases, the proposed algorithm outperforms the standard Riemannian stochastic gradient descent algorithm.
This talk is about the analysis of nonlinear energy harvesters. A particular example of an inverted beam harvester proposed by our group has been discussed in details.
First order shear deformation (FSDT) theory for laminated composite beams is used to study free vibration of
laminated composite beams, and finite element method (FEM) is employed to obtain numerical solution of the
governing differential equations. Free vibration analysis of laminated beams with rectangular cross – section for
various combinations of end conditions is studied. To verify the accuracy of the present method, the frequency
parameters are evaluated and compared with previous work available in the literature. The good agreement with
other available data demonstrates the capability and reliability of the finite element method and the adopted beam
model used.
Influence of Design Parameters on the Singularities and Workspace of a 3-RPS ...Dr. Ranjan Jha
CCToMM 2017 Symposium on Mechanisms, Machines, and Mechatronics (2015 CCToMM M3 Symposium)
Venue: Montreal, Canada
Abstract: This paper presents the variations in the workspace, singularities and joint space with respect to the design parameter $k$ of the 3-R\underline{P}S parallel manipulator. Also, the influence on the parasitic motions due to the design parameters is studied, which plays an important role in the selection of the manipulator for the desired task. The cylindrical algebraic decomposition method and Gr\"{o}bner based computations are used to model the workspace and joint space with the parallel singularities in 2R1T and 3T projection spaces, where the orientation of the mobile platform is represented by using quaternions. These computations are useful to select the optimum value for the design parameter such that the parasitic motions can be limited to specific values. Depending on the design parameter $k$, three different configurations of the 3-R\underline{P}S parallel robot are analyzed.
Spacey random walks and higher-order data analysisDavid Gleich
My talk at TMA 2016 (The workshop on Tensors, Matrices, and their Applications) on the relationship between a spacey random walk process and tensor eigenvectors
An Algebraic Method to Check the Singularity-Free Paths for Parallel RobotsDr. Ranjan Jha
ASME 2015 International Design Engineering Technical Conferences / Computers and Information in Engineering Conference
Venue: Boston, Massachusetts, USA
Abstract: Trajectory planning is a critical step while programming the parallel manipulators in a robotic cell. The main problem arises when there exists a singular configuration between the two poses of the end-effectors while discretizing the path with a classical approach. This paper presents an algebraic method to check the feasibility of any given trajectories in the workspace. The solutions of the polynomial equations associated with the trajectories are projected into the joint space using Gr\"{o}bner based elimination methods and the remaining equations are expressed in a parametric form where the particular variables are functions of time $t$ unlike any numerical or discretization method.
These formal computations allow to write the Jacobian of the manipulator as a function of time and to check if its determinant can vanish between two poses. Another benefit of this approach is to use the largest workspace with a more complex shape than a cube, cylinder or sphere. For the Orthoglide, three degrees of freedom parallel robot, three different trajectories are used to illustrate this method.
Ph.D. Thesis : Ranjan JHA : Contributions to the Performance Analysis of Para...Dr. Ranjan Jha
Ph.D. Thesis Defense
Title: Contributions to the Performance Analysis of Parallel Robots
Venue: IRCCyN, Ecole Centrale de Nantes, France
Abstract: This doctoral thesis focuses on the different aspects which are associated with the efficient planning of desired tasks for parallel robots. These different aspects are mainly categorized into four parts, namely: workspace and joint space analysis, uniqueness domains, trajectory planning and accuracy analysis. The workspace and joint space analysis differentiate the regions with the different number of inverse kinematic solutions and direct kinematic solutions using a cylindrical algebraic decomposition algorithm, respectively. The influence of design parameters and joint limits on the workspace boundaries for the parallel robots are reported. Gr\"{o}bner based elimination methods are used to compute the parallel and serial singularities of the manipulator under study. The descriptive analysis of a family of delta-like robots is presented by using algebraic tools to induce an estimation about the complexity in representing the singularities in the workspace and the joint space. The generalized notions of aspects and uniqueness domains are defined for the parallel robot with several operation modes. The characteristic surfaces are also computed to define the uniqueness domains in the workspace. An algebraic method is proposed to check the feasibility of any given trajectory in the workspace to address the well-known problem which arises when there exists a singular configuration between the two poses of the end-effectors while discretizing the path with a classical approach. A Framework for the control loop of a parallel robot with several actuation modes is presented, which uses only the inverse geometric model. The accuracy analysis focuses on the estimation of errors in the pose of the end effector due to the joint's errors produced by the PID control loop. The proposed error model, which is based on the static and dynamic properties of the Orthoglide, helps in estimating the error in the Cartesian workspace.
Big data matrix factorizations and Overlapping community detection in graphsDavid Gleich
In a talk at the Chinese Academic of Sciences Institute for Automation, I discuss some of the MapReduce and community detection methods I've worked on.
Fast relaxation methods for the matrix exponential David Gleich
The matrix exponential is a matrix computing primitive used in link prediction and community detection. We describe a fast method to compute it using relaxation on a large linear system of equations. This enables us to compute a column of the matrix exponential is sublinear time, or under a second on a standard desktop computer.
First order shear deformation (FSDT) theory for laminated composite beams is used to study free vibration of
laminated composite beams, and finite element method (FEM) is employed to obtain numerical solution of the
governing differential equations. Free vibration analysis of laminated beams with rectangular cross – section for
various combinations of end conditions is studied. To verify the accuracy of the present method, the frequency
parameters are evaluated and compared with previous work available in the literature. The good agreement with
other available data demonstrates the capability and reliability of the finite element method and the adopted beam
model used.
Influence of Design Parameters on the Singularities and Workspace of a 3-RPS ...Dr. Ranjan Jha
CCToMM 2017 Symposium on Mechanisms, Machines, and Mechatronics (2015 CCToMM M3 Symposium)
Venue: Montreal, Canada
Abstract: This paper presents the variations in the workspace, singularities and joint space with respect to the design parameter $k$ of the 3-R\underline{P}S parallel manipulator. Also, the influence on the parasitic motions due to the design parameters is studied, which plays an important role in the selection of the manipulator for the desired task. The cylindrical algebraic decomposition method and Gr\"{o}bner based computations are used to model the workspace and joint space with the parallel singularities in 2R1T and 3T projection spaces, where the orientation of the mobile platform is represented by using quaternions. These computations are useful to select the optimum value for the design parameter such that the parasitic motions can be limited to specific values. Depending on the design parameter $k$, three different configurations of the 3-R\underline{P}S parallel robot are analyzed.
Spacey random walks and higher-order data analysisDavid Gleich
My talk at TMA 2016 (The workshop on Tensors, Matrices, and their Applications) on the relationship between a spacey random walk process and tensor eigenvectors
An Algebraic Method to Check the Singularity-Free Paths for Parallel RobotsDr. Ranjan Jha
ASME 2015 International Design Engineering Technical Conferences / Computers and Information in Engineering Conference
Venue: Boston, Massachusetts, USA
Abstract: Trajectory planning is a critical step while programming the parallel manipulators in a robotic cell. The main problem arises when there exists a singular configuration between the two poses of the end-effectors while discretizing the path with a classical approach. This paper presents an algebraic method to check the feasibility of any given trajectories in the workspace. The solutions of the polynomial equations associated with the trajectories are projected into the joint space using Gr\"{o}bner based elimination methods and the remaining equations are expressed in a parametric form where the particular variables are functions of time $t$ unlike any numerical or discretization method.
These formal computations allow to write the Jacobian of the manipulator as a function of time and to check if its determinant can vanish between two poses. Another benefit of this approach is to use the largest workspace with a more complex shape than a cube, cylinder or sphere. For the Orthoglide, three degrees of freedom parallel robot, three different trajectories are used to illustrate this method.
Ph.D. Thesis : Ranjan JHA : Contributions to the Performance Analysis of Para...Dr. Ranjan Jha
Ph.D. Thesis Defense
Title: Contributions to the Performance Analysis of Parallel Robots
Venue: IRCCyN, Ecole Centrale de Nantes, France
Abstract: This doctoral thesis focuses on the different aspects which are associated with the efficient planning of desired tasks for parallel robots. These different aspects are mainly categorized into four parts, namely: workspace and joint space analysis, uniqueness domains, trajectory planning and accuracy analysis. The workspace and joint space analysis differentiate the regions with the different number of inverse kinematic solutions and direct kinematic solutions using a cylindrical algebraic decomposition algorithm, respectively. The influence of design parameters and joint limits on the workspace boundaries for the parallel robots are reported. Gr\"{o}bner based elimination methods are used to compute the parallel and serial singularities of the manipulator under study. The descriptive analysis of a family of delta-like robots is presented by using algebraic tools to induce an estimation about the complexity in representing the singularities in the workspace and the joint space. The generalized notions of aspects and uniqueness domains are defined for the parallel robot with several operation modes. The characteristic surfaces are also computed to define the uniqueness domains in the workspace. An algebraic method is proposed to check the feasibility of any given trajectory in the workspace to address the well-known problem which arises when there exists a singular configuration between the two poses of the end-effectors while discretizing the path with a classical approach. A Framework for the control loop of a parallel robot with several actuation modes is presented, which uses only the inverse geometric model. The accuracy analysis focuses on the estimation of errors in the pose of the end effector due to the joint's errors produced by the PID control loop. The proposed error model, which is based on the static and dynamic properties of the Orthoglide, helps in estimating the error in the Cartesian workspace.
Big data matrix factorizations and Overlapping community detection in graphsDavid Gleich
In a talk at the Chinese Academic of Sciences Institute for Automation, I discuss some of the MapReduce and community detection methods I've worked on.
Fast relaxation methods for the matrix exponential David Gleich
The matrix exponential is a matrix computing primitive used in link prediction and community detection. We describe a fast method to compute it using relaxation on a large linear system of equations. This enables us to compute a column of the matrix exponential is sublinear time, or under a second on a standard desktop computer.
Development of Improved Diode Clamped Multilevel Inverter Using Optimized Sel...eeiej_journal
In this paper the role of Selective Harmonic Elimination (SHE) is presented for diode clamped twelve-level multilevel inverter (DCMLI) based on dog leg optimization algorithm. Non-linear equations has been solved to eliminate specific low order harmonics, using the developed DOP algorithm, while at the same time the fundamental component is retained efficiently. The non-linear nature of transcendental equation provide multiple or even no solution for a particular modulation index. The proposed optimization method solving the nonlinear transcendental equations providing all possible solutions. The paper also showing the comparison between different modulation techniques including the proposed method. The entire system has been simulated using MATLAB/Simulink. Simulation results confirm the effectiveness with negligible
THD.
One approach to understanding the phase structure of QCD
at finite densities is to map the theory onto a simpler theory,
described by an effective Polyakov line action, and then
to solve for the phase structure of that theory by whatever
means may be available. At strong couplings and heavy
quark masses the effective theory can be obtained by a strong coupling/
hopping parameter expansion, and such expansions
have been carried out to rather high orders. These methods
do not seem appropriate for weaker couplings and light
quark masses, and a numerical approach of some kind seems
unavoidable. There are, of course, methods aimed directly at
the lattice gauge theory, bypassing the effective theory. These
include the Langevin equation and Lefshetz thimbles.
In this article, however, we are concerned with deriving the
effective Polyakov line action numerically, and solving the resulting
theory at non-zero chemical potential by a mean field
technique. In the past we have advocated a “relative weights”
method, reviewed below, to obtain the effective theory,
but thus far this method has only been applied to pure gauge
theory, and to gauge theory with scalar matter fields. Here we
would like to report some first results for SU(3) lattice gauge
theory coupled to dynamical staggered fermions.
The effective Polyakov line action (PLA) of a lattice gauge
theory is the theory which results from integrating out all of
the degrees of freedom of the theory, subject to the condition
that the Polyakov lines are held fixed, and it is hoped
that this effective theory is more tractable than the underlying
lattice gauge theory (LGT) when confronting the sign problem
at finite density. The general idea was pioneered in,
and the derivation of the PLA from the underlying LGT has
been pursued by various methods. The relative
weights method is a simple numerical technique for finding
the derivative of the PLA in any direction in the space of
Polyakov line holonomies.1 Given some ansatz for the PLA,
depending on some set of parameters, we can use the relative
weights method to determine those parameters. Then, given
the PLA at some fixed temperature T, we can apply a mean
field method to search for phase transitions at finite chemical
potential m. This is the strategy which we have outlined
in some detail in, where some preliminary results for finite
densities were presented. The relative weights method
has strengths and weaknesses; on the positive side the approach
is not tied to either a strong coupling or hopping parameter
expansion, and the non-holomorphic character of the
fermion action is irrelevant. The main weakness is that the validity
of the results depends on a good choice of ansatz for the
PLA. We have suggested, for exploratory work, an ansatz for
the PLA inspired first by the success of the relative weights
method applied to pure gauge theories, and secondly by
the form of the PLA obtained for heavy-dense quarks.
Efficient Finite Element Computation of Circulating Currents in Thin Parallel...Antti Lehikoinen
My poster for the International Conference on the Computation of Electromagnetic Fields (Compumag 2015).
I developed a non-conforming meshing approach for stranded conductors, resulting in a significant reduction on the degrees-of-freedom and computation times in loss calculation.
Kinetic pathways to the isotropic-nematic phase transformation: a mean field ...Amit Bhattacharjee
Here we illustrate the classic Ginzburg-Landau-de Gennes theory of isotropic nematic phase transition and show how fluctuations as well as deterministic kinetics can lead to phase equilibria.
GDQ SIMULATION FOR FLOW AND HEAT TRANSFER OF A NANOFLUID OVER A NONLINEARLY S...AEIJjournal2
This paper presents the generalized differential quadrature (GDQ) simulation for analysis of a nanofluid
over a nonlinearly stretching sheet. The obtained governing equations of flow and heat transfer are
discretized by GDQ method and then are solved by Newton-Raphson method. The effects of stretching
parameter, Brownian motion number (Nb), Thermophoresis number (Nt) and Lewis number (Le), on the
concentration distribution and temperature distribution are evaluated. The obtained results exhibit that
A Numerical Study on the Application of BEM to Steady Cavitating Potential Fl...João Baltazar
This study addresses some numerical aspects of the implementation of a low-order Boundary Element Method (BEM) for three-dimensional steady potential flow calculations on lifting surfaces with partial cavitation.
The method is based on an integral equation for the velocity perturbation potential. The presence of a cavity on the lifting surface is modelled as a free boundary problem. A thin cavity is assumed so that the boundary conditions on the cavity may be partially linearised with respect to the wetted flow. This implies that the dynamic and kinematic boundary conditions are applied on the foil surface beneath the cavity. On the wetted surfaces only the kinematic boundary condition is applied. The problem is closed by suitable specification of cavity detachment and closure, and a Kutta condition at the lifting surface trailing edge.
The study focuses on the efficiency improvement due to an alternative iterative procedure to solve the linear system of equations resulting from the formulation of the cavitating flow problem. Usually, the solution of the problem for a given cavitation number is to iterate on the cavity length. For each iteration step a new linear system of equations is solved for the unknown source strengths on the cavity and the unknown potentials on the wetted part. The solution is obtained for given potentials on the cavity, known from the dynamic boundary condition and for given sources on the wetted part, known from the kinematical boundary condition. This implies the solution of a large system of equations (at least one matrix inversion) for each iteration step on the cavity length.
With the alternative procedure, a reduced system of equations is set only on the cavity panels for the unknown source strengths due to the cavity perturbation to the wetted flow. The solution of this system is iterated with the solution of the complete cavitating flow problem with known source strengths. The larger matrix for this problem is identical to the matrix of the wetted flow problem and needs only one inversion.
Numerical studies were carried out for the MARIN S-Propeller and results compared with other methods [1]. The procedure converged for all cases to the solution of the original coupled system. A large reduction in computational time is achieved with the alternative procedure for the cavity potential flow solution.
Dynamic stiffness and eigenvalues of nonlocal nano beams - new methods for dynamic analysis of nano-scale structures. This lecture gives a review and proposed new techniques.
NO1 Uk best vashikaran specialist in delhi vashikaran baba near me online vas...Amil Baba Dawood bangali
Contact with Dawood Bhai Just call on +92322-6382012 and we'll help you. We'll solve all your problems within 12 to 24 hours and with 101% guarantee and with astrology systematic. If you want to take any personal or professional advice then also you can call us on +92322-6382012 , ONLINE LOVE PROBLEM & Other all types of Daily Life Problem's.Then CALL or WHATSAPP us on +92322-6382012 and Get all these problems solutions here by Amil Baba DAWOOD BANGALI
#vashikaranspecialist #astrologer #palmistry #amliyaat #taweez #manpasandshadi #horoscope #spiritual #lovelife #lovespell #marriagespell#aamilbabainpakistan #amilbabainkarachi #powerfullblackmagicspell #kalajadumantarspecialist #realamilbaba #AmilbabainPakistan #astrologerincanada #astrologerindubai #lovespellsmaster #kalajaduspecialist #lovespellsthatwork #aamilbabainlahore#blackmagicformarriage #aamilbaba #kalajadu #kalailam #taweez #wazifaexpert #jadumantar #vashikaranspecialist #astrologer #palmistry #amliyaat #taweez #manpasandshadi #horoscope #spiritual #lovelife #lovespell #marriagespell#aamilbabainpakistan #amilbabainkarachi #powerfullblackmagicspell #kalajadumantarspecialist #realamilbaba #AmilbabainPakistan #astrologerincanada #astrologerindubai #lovespellsmaster #kalajaduspecialist #lovespellsthatwork #aamilbabainlahore #blackmagicforlove #blackmagicformarriage #aamilbaba #kalajadu #kalailam #taweez #wazifaexpert #jadumantar #vashikaranspecialist #astrologer #palmistry #amliyaat #taweez #manpasandshadi #horoscope #spiritual #lovelife #lovespell #marriagespell#aamilbabainpakistan #amilbabainkarachi #powerfullblackmagicspell #kalajadumantarspecialist #realamilbaba #AmilbabainPakistan #astrologerincanada #astrologerindubai #lovespellsmaster #kalajaduspecialist #lovespellsthatwork #aamilbabainlahore #Amilbabainuk #amilbabainspain #amilbabaindubai #Amilbabainnorway #amilbabainkrachi #amilbabainlahore #amilbabaingujranwalan #amilbabainislamabad
Quality defects in TMT Bars, Possible causes and Potential Solutions.PrashantGoswami42
Maintaining high-quality standards in the production of TMT bars is crucial for ensuring structural integrity in construction. Addressing common defects through careful monitoring, standardized processes, and advanced technology can significantly improve the quality of TMT bars. Continuous training and adherence to quality control measures will also play a pivotal role in minimizing these defects.
Hybrid optimization of pumped hydro system and solar- Engr. Abdul-Azeez.pdffxintegritypublishin
Advancements in technology unveil a myriad of electrical and electronic breakthroughs geared towards efficiently harnessing limited resources to meet human energy demands. The optimization of hybrid solar PV panels and pumped hydro energy supply systems plays a pivotal role in utilizing natural resources effectively. This initiative not only benefits humanity but also fosters environmental sustainability. The study investigated the design optimization of these hybrid systems, focusing on understanding solar radiation patterns, identifying geographical influences on solar radiation, formulating a mathematical model for system optimization, and determining the optimal configuration of PV panels and pumped hydro storage. Through a comparative analysis approach and eight weeks of data collection, the study addressed key research questions related to solar radiation patterns and optimal system design. The findings highlighted regions with heightened solar radiation levels, showcasing substantial potential for power generation and emphasizing the system's efficiency. Optimizing system design significantly boosted power generation, promoted renewable energy utilization, and enhanced energy storage capacity. The study underscored the benefits of optimizing hybrid solar PV panels and pumped hydro energy supply systems for sustainable energy usage. Optimizing the design of solar PV panels and pumped hydro energy supply systems as examined across diverse climatic conditions in a developing country, not only enhances power generation but also improves the integration of renewable energy sources and boosts energy storage capacities, particularly beneficial for less economically prosperous regions. Additionally, the study provides valuable insights for advancing energy research in economically viable areas. Recommendations included conducting site-specific assessments, utilizing advanced modeling tools, implementing regular maintenance protocols, and enhancing communication among system components.
Automobile Management System Project Report.pdfKamal Acharya
The proposed project is developed to manage the automobile in the automobile dealer company. The main module in this project is login, automobile management, customer management, sales, complaints and reports. The first module is the login. The automobile showroom owner should login to the project for usage. The username and password are verified and if it is correct, next form opens. If the username and password are not correct, it shows the error message.
When a customer search for a automobile, if the automobile is available, they will be taken to a page that shows the details of the automobile including automobile name, automobile ID, quantity, price etc. “Automobile Management System” is useful for maintaining automobiles, customers effectively and hence helps for establishing good relation between customer and automobile organization. It contains various customized modules for effectively maintaining automobiles and stock information accurately and safely.
When the automobile is sold to the customer, stock will be reduced automatically. When a new purchase is made, stock will be increased automatically. While selecting automobiles for sale, the proposed software will automatically check for total number of available stock of that particular item, if the total stock of that particular item is less than 5, software will notify the user to purchase the particular item.
Also when the user tries to sale items which are not in stock, the system will prompt the user that the stock is not enough. Customers of this system can search for a automobile; can purchase a automobile easily by selecting fast. On the other hand the stock of automobiles can be maintained perfectly by the automobile shop manager overcoming the drawbacks of existing system.
CFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptxR&R Consult
CFD analysis is incredibly effective at solving mysteries and improving the performance of complex systems!
Here's a great example: At a large natural gas-fired power plant, where they use waste heat to generate steam and energy, they were puzzled that their boiler wasn't producing as much steam as expected.
R&R and Tetra Engineering Group Inc. were asked to solve the issue with reduced steam production.
An inspection had shown that a significant amount of hot flue gas was bypassing the boiler tubes, where the heat was supposed to be transferred.
R&R Consult conducted a CFD analysis, which revealed that 6.3% of the flue gas was bypassing the boiler tubes without transferring heat. The analysis also showed that the flue gas was instead being directed along the sides of the boiler and between the modules that were supposed to capture the heat. This was the cause of the reduced performance.
Based on our results, Tetra Engineering installed covering plates to reduce the bypass flow. This improved the boiler's performance and increased electricity production.
It is always satisfying when we can help solve complex challenges like this. Do your systems also need a check-up or optimization? Give us a call!
Work done in cooperation with James Malloy and David Moelling from Tetra Engineering.
More examples of our work https://www.r-r-consult.dk/en/cases-en/
Water scarcity is the lack of fresh water resources to meet the standard water demand. There are two type of water scarcity. One is physical. The other is economic water scarcity.
COLLEGE BUS MANAGEMENT SYSTEM PROJECT REPORT.pdfKamal Acharya
The College Bus Management system is completely developed by Visual Basic .NET Version. The application is connect with most secured database language MS SQL Server. The application is develop by using best combination of front-end and back-end languages. The application is totally design like flat user interface. This flat user interface is more attractive user interface in 2017. The application is gives more important to the system functionality. The application is to manage the student’s details, driver’s details, bus details, bus route details, bus fees details and more. The application has only one unit for admin. The admin can manage the entire application. The admin can login into the application by using username and password of the admin. The application is develop for big and small colleges. It is more user friendly for non-computer person. Even they can easily learn how to manage the application within hours. The application is more secure by the admin. The system will give an effective output for the VB.Net and SQL Server given as input to the system. The compiled java program given as input to the system, after scanning the program will generate different reports. The application generates the report for users. The admin can view and download the report of the data. The application deliver the excel format reports. Because, excel formatted reports is very easy to understand the income and expense of the college bus. This application is mainly develop for windows operating system users. In 2017, 73% of people enterprises are using windows operating system. So the application will easily install for all the windows operating system users. The application-developed size is very low. The application consumes very low space in disk. Therefore, the user can allocate very minimum local disk space for this application.
Student information management system project report ii.pdfKamal Acharya
Our project explains about the student management. This project mainly explains the various actions related to student details. This project shows some ease in adding, editing and deleting the student details. It also provides a less time consuming process for viewing, adding, editing and deleting the marks of the students.
TECHNICAL TRAINING MANUAL GENERAL FAMILIARIZATION COURSEDuvanRamosGarzon1
AIRCRAFT GENERAL
The Single Aisle is the most advanced family aircraft in service today, with fly-by-wire flight controls.
The A318, A319, A320 and A321 are twin-engine subsonic medium range aircraft.
The family offers a choice of engines
Design and Analysis of Algorithms-DP,Backtracking,Graphs,B&B
Novel unified finite element schemes for computational solid mechanics based on Bézier elements
1. 1/38
Novel unified finite element schemes for computational
solid mechanics based on B´ezier elements
Chennakesava Kadapa
Swansea Academy of Advanced Computing
Email: c.kadapa@swansea.ac.uk
UKACM 2019 Conference, London, 10-12 April, 2019.
Chennakesava Kadapa (SA2C) Unified FE schemes for Computational Mechanics UKACM 2019 Conference 1 / 38
2. 2/38
Introduction
Introduction
Why do we need new finite element techniques for solid mechanics?
Lack of
Accurate, robust and computationally efficient
Explicit schemes for elastodynamics and wave propagation
Incompressible material models
Polymers
Biological soft tissues
Soils
With solid-solid contact
Adaptive refinement
Chennakesava Kadapa (SA2C) Unified FE schemes for Computational Mechanics UKACM 2019 Conference 2 / 38
3. 3/38
Introduction
Explicit schemes - introduction
Governing equations in infinitesimal (small) strain regime
ρ
∂2
u
∂t2
− · σ = f in Ω (1a)
u = g on ΓD (1b)
σ · n = t on ΓN (1c)
u(x, 0) = u0 in Ω (1d)
v(x, 0) = v0 in Ω (1e)
Finite element discretisation with u = Nu u
M a + Fint
= Fext
(2)
M =
Ω
ρ NT
u Nu dΩ, Fint
=
Ω
BT
σ dΩ
Fext
=
Ω
NT
u f dΩ +
ΓN
NT
u t dΓ
Chennakesava Kadapa (SA2C) Unified FE schemes for Computational Mechanics UKACM 2019 Conference 3 / 38
4. 4/38
Introduction
Explicit schemes - introduction (cont’d)
Chung and Lee scheme [1]
M an+1 = Fext
n − Fint
n (3a)
un+1 = un + ∆t vn + ∆t2 1
2
− β an + β an+1 (3b)
vn+1 = vn + ∆t [(1 − γ) an + γ an+1] (3c)
∆t = CFL
h
c
(4)
Mass lumping for M
1
3
1
3
1
3
1
4
1
4
1
4
1
4
Advantages
No need for matrix solvers
Computationally appealing for dynamic
problems with short-term response
Blast and impact loading
Wave propagation
Dynamic fracture
Chennakesava Kadapa (SA2C) Unified FE schemes for Computational Mechanics UKACM 2019 Conference 4 / 38
5. 5/38
Introduction
Explicit schemes - fundamental issues
1
3
1
3
1
3
(a) Row-Sum
1
4
1
4
1
4
1
4
(b) Row-Sum
0 0
0
1
3
1
3
1
3
(c) Row-Sum
3/57 3/57
3/57
16/57
16/5716/57
(d) Proportional
Figure: Lagrange elements: mass contribution for each node using mass lumping
Issues (for compressible linear elastic materials (ν < 0.35))
Linear triangle/tetrahedron - stiff behaviour, especially in bending
Linear quad/hex - difficulty in mesh generation for complex 3D geometries
Quadratic tria/tetra - not recommended for contact problems in dynamics
ANSYS explicit - does not support any higher-order elements
Abaqus explicit - C3D10M but is very expensive
Cubic and higher-order - very expensive for any practical applications.
Chennakesava Kadapa (SA2C) Unified FE schemes for Computational Mechanics UKACM 2019 Conference 5 / 38
6. 6/38
Introduction
Explicit schemes - additional issues due to incompressibility
At this point we are practically left with linear triangular/tetrahedral elements
only for which
Pure displacement formulation results in
Volumetric and shear locking
Spurious oscillations in pressure field
Reduced integration
Not applicable
Selective reduced integration
Not applicable
B-bar formulation
Not applicable
Chennakesava Kadapa (SA2C) Unified FE schemes for Computational Mechanics UKACM 2019 Conference 6 / 38
7. 7/38
Literature
Literature
1.) Fractional-step-based projection schemes by Zienkiewicz and co. [2]
2.) Averaged nodal pressure approach by Bonet and Burton [3]
3.) Stabilised nodally integrated elements by Puso and Solberg [4]
4.) F-bar patch for triangular/tetrahedral elements by de Souza Neto et al. [5]
5.) F-bar aided edge-based smoothed method by Onishi et al. [6]
6.) D-VMS mixed formulations by Scovazzi et al [7, 8, 9]
7.) Mixed displacement-stress & displacement-strain by Cervera et al. [10, 11]
8.) First-order conservation laws by Bonet and Gil group [12, 13]
Disadvantages
First-order accuracy for stresses
Significant number of additional variables for second-order accurate stresses
Ad-hoc stabilisation parameters that control accuracy and stability
Unsuitability of dynamic variables to elastostatic problems (occupy major
share of problems in solid mechanics)
Chennakesava Kadapa (SA2C) Unified FE schemes for Computational Mechanics UKACM 2019 Conference 7 / 38
8. 8/38
B´ezier elements
Alternatives and a solution
Sticking with the Lagrange elements does not offer efficient solutions.
Isogeometric analysis (IGA) - B-Splines, NURBS, T-Splines etc.
Explicit dynamics - Anitescu et al [14], Evans et al [15]
× Major portion of research on IGA is limited to tensor-product meshes.
× No preprocessors (mesh generators) for IGA.
× Pose difficulties in applying Dirichlet BCs.
Chennakesava Kadapa (SA2C) Unified FE schemes for Computational Mechanics UKACM 2019 Conference 8 / 38
9. 8/38
B´ezier elements
Alternatives and a solution
Sticking with the Lagrange elements does not offer efficient solutions.
Isogeometric analysis (IGA) - B-Splines, NURBS, T-Splines etc.
Explicit dynamics - Anitescu et al [14], Evans et al [15]
× Major portion of research on IGA is limited to tensor-product meshes.
× No preprocessors (mesh generators) for IGA.
× Pose difficulties in applying Dirichlet BCs.
But
Relax requirements on isogeometry.
For practical applications, quadratic elements are sufficient enough.
For quadratic non-isogeometric B´ezier elements, existing mesh generators can
be leveraged by exploiting the properties of B´ezier curve.
Dirichlet BCs can be applied using elimination approach.
Chennakesava Kadapa (SA2C) Unified FE schemes for Computational Mechanics UKACM 2019 Conference 8 / 38
21. 20/38
Semi-implicit scheme
Semi-implicit scheme for mixed formulation
Weak form:
Muu an+1 +
Ω
BT
m pn+1 dΩ = Fext
n −
Ω
BT
σdev(un) dΩ (16)
Ω
NT
p mT
εn+1 −
pn+1
κ
dΩ = 0 (17)
Discretised system:
Kuu Kup
Kpu Kpp
∆u
∆p = −
Ru
Rp
(18)
where Kuu =
αm
β∆t2
Muu; Kpp = −
Ω
1
κ
NT
p Np dΩ
Solution: ∆p = S−1
−Rp + Kpu K−1
uu Ru (19)
∆u = K−1
uu [−Ru − Kup ∆p] (20)
Schur complement, S = Kpp − Kpu K−1
uu Kup (21)
Advantages:
Using BT2/BT1 element, size of S is only about 5% of that of global matrix.
Critical time step is limited only by shear wave speed
Straightforward to add contacts - Lagrange multipliers or penalty or Nitsche
Chennakesava Kadapa (SA2C) Unified FE schemes for Computational Mechanics UKACM 2019 Conference 20 / 38
24. 23/38
Semi-implicit scheme
Semi-implicit scheme - complex geometry and wave propagation
-0.2 0.0 0.2-0.5 0.5
pressure
0.0 1.2 2.4 3.6-1.0 5.0
pressure
Figure: Stent model: Ogden model with ν = 0.5.
0.1 0.2 0.3 0.40.0 0.5
Displacement
-3.0 0.0 3.0-7.9 7.3
sigma_xy
Figure: Wave propagation: shear wave in linear elastic medium, ν = 0.5.
Chennakesava Kadapa (SA2C) Unified FE schemes for Computational Mechanics UKACM 2019 Conference 23 / 38
25. 24/38
Summary
Summary
Novel unified finite element formulations using B´ezier elements
Introduced B-bar and F-bar formulations for BT2 element
Introduced BT2/BT0 and BT2/BT1 elements
Chennakesava Kadapa (SA2C) Unified FE schemes for Computational Mechanics UKACM 2019 Conference 24 / 38
26. 25/38
Summary
Acknowledgements
Acknowledges the support of the Supercomputing Wales project, which is
part-funded by the European Regional Development Fund (ERDF) via the Welsh
Government.
Thank you
Chennakesava Kadapa (SA2C) Unified FE schemes for Computational Mechanics UKACM 2019 Conference 25 / 38
27. 26/38
References
References I
J. Chung and J. M. Lee.
A new family of explicit time integration methods for linear and non-linear structural
dynamics.
International Journal for Numerical Methods in Engineering, 37:3961–3976, 1994.
O. C. Zienkiewicz, J. Rojek, R. L. Taylor, and M. Pastor.
Triangles and Tetrahedra in explicit dynamic codes for solids.
International Journal for Numerical Methods in Engineering, 43:565–583, 1998.
J. Bonet and A. J. Burton.
A simple average nodal pressure tetrahedral element for incompressible and nearly
incompressible dynamic explicit applications.
Communications in Numerical Methods in Engineering, 14:437–449, 1998.
M. A. Puso and J. Solberg.
A stabilized nodally integrated tetrahedral.
International Journal of Numerical Methods in Engineering, 67:841–867, 2006.
E. A. de Souza Neto, F. M. Andrade Pires, and D. R. J. Owen.
F-bar-based linear triangles and tetrahedra for finite strain analysis of nearly incompressible
solids. Part I: formulation and benchmarking.
International Journal of Numerical Methods in Engineering, 62:353–383, 2005.
Chennakesava Kadapa (SA2C) Unified FE schemes for Computational Mechanics UKACM 2019 Conference 26 / 38
28. 27/38
References
References II
Y. Onishi, R. Iida, and K. Amaya.
F-bar aided edge-based smoothed finite element method using tetrahedral elements for
finite deformation analysis of nearly incompressible solids.
International Journal for Numerical Methods in Engineering, 109:1582–1606, 2017.
G. Scovazzi, B. Carnes, X. Zeng, and S. Rossi.
A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and
fully incompressible solid dynamics: a dynamic variational multiscale approach.
International Journal for Numerical Methods in Engineering, 106:799–839, 2016.
S. Rossi, N. Abboud, and G. Scovazzi.
Implicit finite incompressible elastodynamics with linear finite elements: A stabilized
method in rate form.
Computer Methods in Applied Mechanics and Engineering, 311:208–249, 2016.
G. Scovazzi, T. Song, and X. Zeng.
A velocity/stress mixed stabilized nodal finite element for elastodynamics: Analysis and
computations with strongly and weakly enforced boundary conditions.
Computer Methods in Applied Mechanics and Engineering, 325:532–576, 2017.
M. Cervera, M. Chiumenti, and R. Codina.
Mixed stabilized finite element methods in nonlinear solid mechanics. Part I: formulation.
Computer Methods in Applied Mechanics and Engineering, 199:2559–2570, 2010.
Chennakesava Kadapa (SA2C) Unified FE schemes for Computational Mechanics UKACM 2019 Conference 27 / 38
29. 28/38
References
References III
M. Cervera, M. Chiumenti, and R. Codina.
Mixed stabilized finite element methods in nonlinear solid mechanics. Part II: strain
localization.
Computer Methods in Applied Mechanics and Engineering, 199:2571–2589, 2010.
A. J. Gil, C. H. Lee, J. Bonet, and M. Aguirre.
A stabilised Petrov-Galerkin formulation for linear tetrahedral elements in compressible,
nearly incompressible and truly incompressible fast dynamics.
Computer Methods in Applied Mechanics and Engineering, 276:659–690, 2014.
J. Bonet, A. J. Gil, C. H. Lee, M. Aguirre, and R. Ortigosa.
A first order hyperbolic framework for large strain computational solid dynamics. Part I:
total Lagrangian isothermal elasticity.
Computer Methods in Applied Mechanics and Engineering, 283:689–732, 2015.
C. Anitescu, C. Nguyen, T. Rabczuk, and X. Zhuang.
Isogeometric analysis for explicit elastodynamics using a dual-basis diagonal mass
formulation.
Computer Methods in Applied Mechanics and Engineering, 346:574–591, 2019.
J. A. Evans, R. R. Hiemstra, T. J. R. Hughes, and A. Reali.
Explicit higher-order accurate isogeometric collocation methods for structural dynamics.
Computer Methods in Applied Mechanics and Engineering, 338:208–240, 2018.
Chennakesava Kadapa (SA2C) Unified FE schemes for Computational Mechanics UKACM 2019 Conference 28 / 38
30. 29/38
References
References IV
C. Kadapa.
Novel quadratic B´ezier triangular and tetrahedral elements using existing mesh generators:
Applications to linear nearly incompressible elastostatics and implicit and explicit
elastodynamics.
International Journal for Numerical Methods in Engineering, 117:543–573, 2019.
C. Kadapa.
Novel quadratic B´ezier triangular and tetrahedral elements using existing mesh generators:
Extension to nearly incompressible implicit and explicit elastodynamics in finite strains.
International Journal for Numerical Methods in Engineering, 2019.
T. J. R. Hughes.
The Finite Element Method: Linear Static and Dynamic Finite Element Analysis.
Dover Publications, 2000.
E. A. de Souza Neto, D. Peri´c, and D. R. J. Owen.
Computational Methods for Plasticity, Theory and Applications.
John Wiley and Sons, United Kingdom, 2008.
Chennakesava Kadapa (SA2C) Unified FE schemes for Computational Mechanics UKACM 2019 Conference 29 / 38