Fm unit 3
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This document is from Mr. Md Ateeque Khan, an assistant professor in the Department of Mechanical Engineering at Jahangirabad Institute of Technology. It discusses several topics related to fluid mechanics, including Euler's equation of motion along a streamline and its integration to Bernoulli's equation. It also discusses applications of Bernoulli's equation like the Pitot tube. Further sections cover Venturi meters, orifice meters, geometric, kinematic and dynamic similarities between models and prototypes.
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Design and CFD Simulation of Tesla Pump
The need for high pump performance and efficiency continue to encourage the study of flow between two parallel co-rotating discs in multiple discs pump or turbine. Therefore, this study entails the design, construction and CFD simulation of a 3D Tesla pump model axisymmetric swirling flow in order to enhance the understanding of Tesla pump for future development.
Method of solution entails designing and construction of a small prototype tesla pump and then using the design geometry and parameters to design and perform numerical simulation. The results of the numerical simulation were then analyzed.
The result obtained indicates static pressure to have minimum value of -4.7791Pa at the outlet and 13.777Pa at the pump inlet and with velocity magnitude having minimum velocity of 0.00m/s and maximum velocity of 4.12m/s. The strength of the velocity was seen to be very high at the pump outlet. The analysis radial velocity showed minimum value of -0.508m/s and maximum value of 3.981m/s with the radial velocity vector being concentrated at the discs periphery and outlet.
Model simulation results exhibited smooth pressure and velocity profiles. With the 3D simulation all flow variables are able to be predicted.
THREE-DIMENSIONAL STUDY FOR THE RELATIVE POSITIONING OF MECHANICAL ELEMENTS I...
ABSTRACT
The great evolution of the data-processing tools during the last years allowed for the development of the computer aided design in the field of mechanical structures. Controlling the clearance in joints between parts, is one of the required objectives to provide accurate relative movements and to minimize geometrical errors. For that purpose, a new method of static study allowing for the computation of the equilibrium positions of various elements in spatial mechanisms constituted by parallel joints and subjected to mechanical loadings is proposed. The isostatic study takes into account the presence of the clearance in the mechanism joints. The method is based to the minimization of the potential energy by means of some algorithms of optimization. The results obtained show the effectiveness of the method.
THREE-DIMENSIONAL STUDY FOR THE RELATIVE POSITIONING OF MECHANICAL ELEMENTS I...
The great evolution of the data-processing tools during the last years allowed for the development of the computer aided design in the field of mechanical structures. Controlling the clearance in joints between parts, is one of the required objectives to provide accurate relative movements and to minimize geometrical errors. For that purpose, a new method of static study allowing for the computation of the equilibrium positions of various elements in spatial mechanisms constituted by parallel joints and subjected to mechanical loadings is proposed. The isostatic study takes into account the presence of the clearance in the mechanism joints. The method is based to the minimization of the potential energy by means of some algorithms of optimization. The results obtained show the effectiveness of the method.
30120140503002
This document summarizes research on using finite element analysis in time to model the nonlinear dynamic response of beams. It describes discretizing a beam into finite elements, with each node having two degrees of freedom for displacement and slope. Hermite shape functions are used to interpolate displacement within each element. The total potential energy of the system is derived and used to form the element stiffness matrix. The method is demonstrated to analyze an isotropic beam undergoing bending when subjected to a distributed load.
30120140503002
This document summarizes research on using finite element analysis in time to model the nonlinear dynamic response of beams. It describes discretizing a beam into finite elements, with each node having two degrees of freedom for displacement and slope. Hermite shape functions are used to interpolate displacement within each element. The total potential energy of the system is derived and used to form the element stiffness matrix. The analysis shows this finite element approach can accurately model the bending behavior of beams under distributed loads.
30120140503002
This document summarizes research on using finite element analysis in time to model the nonlinear dynamic response of beams. It describes discretizing a beam into finite elements, with each node having two degrees of freedom for displacement and slope. Hermite shape functions are used to interpolate displacement within each element. The total potential energy of the system is derived and used to form the element stiffness matrix. The method is demonstrated to analyze an isotropic beam undergoing bending when subjected to a distributed load.
NON LINEAR DYNAMIC AND STABILITY ANALYSIS OF BEAM USING FINITE ELEMENT IN TIME
In this article the main focus is to predict nonlinear dynamic response of a beam using finite element in time under given condition. To do the nonlinear dynamic analysis of a beam, a distributed load is being applied and the beam is experiencing bending. The given beam is homogeneous in composition and isotropic in nature. Here, considering the stiffness of the beam and its effect on the deflection, under the distributed load conditions
30120140503002
This document summarizes research on using finite element analysis in time to model the nonlinear dynamic response of beams. It describes discretizing a beam into finite elements, with each node having two degrees of freedom for displacement and slope. Hermite shape functions are used to interpolate displacement within each element. The total potential energy of the system is derived and used to form the element stiffness matrix. The method is demonstrated to analyze an isotropic beam undergoing bending when subjected to a distributed load.
International Journal of Engineering Research and Development
1) The study investigated the effect of aggregate size on the energy dissipation of plain concrete members subjected to static cyclic loading.
2) Testing found that smaller aggregate size (3/8") resulted in less energy dissipation compared to larger sizes (1/2", 3/4"), and gradually increasing loads led to less energy dissipation than constant loads.
3) Measurement of crack propagation using ultrasound found that larger aggregate sizes led to larger cracks under both constant and gradually increasing loads.
S1
This document summarizes various methods for analyzing framed structures. It discusses:
1) Force-based methods (e.g. least work method) and displacement-based methods (e.g. slope-deflection method) for determining the internal forces and deformations in framed structures. Both approaches use matrices to set up and solve systems of equations.
2) Additional methods like moment distribution and relaxation methods, which simplify the analysis of framed structures.
3) The development of matrix-based formulations that allow more general and efficient analysis of complex framed structures using computers. Force and displacement methods are generalized using matrix algebra.
International Journal of Engineering and Science Invention (IJESI)
International Journal of Engineering and Science Invention (IJESI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJESI publishes research articles and reviews within the whole field Engineering Science and Technology, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
E04701035045
This document discusses the results of an investigation into splitting of timber dowel joints. It summarizes the following key points in 3 sentences:
The document critiques the empirical methods used in previous studies, arguing they do not fit theoretical models and have high variability. It then precisely fits the experimental data from one study to limit analysis theory, demonstrating a 10% coefficient of variation. The analysis shows the empirical data can be trusted but that exact theory, not empirical approaches, provides the proper design rules for timber dowel joints.
Thermo-mechanical-fatigue_modelling_by_AbhinavAshish.pptx
The document discusses thermo-mechanical fatigue (TMF) modeling of boiler tubes and headers. TMF occurs under repeated or prolonged mechanical and thermal loads and can lead to fatigue and creep failures. TMF modeling involves analyzing low cycle fatigue (LCF) and high cycle fatigue (HCF). LCF involves plastic deformation in each cycle while HCF involves elastic deformation. Presentation topics include identifying LCF vs HCF, their differences, and modeling rate-independent and rate-dependent LCF. Fatigue testing methods, stress-life curves, creep modeling, and the effect of microstructure on fatigue are also summarized.
Qb103355
This document provides information about dimensional analysis and model studies in fluid mechanics. It defines dimensional analysis as a technique that uses the study of dimensions to help solve engineering problems. Buckingham π theorem is discussed, which states that physical phenomena with n variables can be expressed in terms of n-m dimensionless terms, where m is the number of fundamental dimensions. Several model laws are defined, including Reynolds, Froude, Euler, and Weber laws. Hydraulic models are classified as undistorted or distorted, and scale effects are discussed.
Flow Modeling Based Wall Element Technique
Two types of flow where examined, pressure and combination of pressure and Coquette flow of confined turbulent flow with a one equation model used to depict the turbulent viscosity of confined flow in a smooth straight channel when a finite element technique based on a zone close to a solid wall has been adopted for predicting the distribution of the pertinent variables in this zone and examined even with case when the near wall zone was extended away from the wall. The validation of imposed technique has been tested and well compared with other techniques.
Limitations of symmetry in fe modeling a comparison of fem and a (1)
It has long been an accepted practice to use symmetry in Finite Element Modeling.
Whenever modeling a large structure, we turn to symmetry in order to significantly reduce the model
size and computation time. But is symmetry always the solution to long computation times, and is it
always accurate?
Vilnay chernincotsovos
The document describes an extension to the brittle cracking concrete material model in ABAQUS. The extension adds nonlinear compressive behavior using a user subroutine. The extended model is validated by comparing it to the original brittle cracking model and damaged plasticity model under uniaxial loading. The extended model is also shown to capture strain rate effects observed in experiments. Finally, the extended model is used to simulate benchmark cases including a notched concrete beam, demonstrating its ability to model tensile failure of concrete structures.
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Unit 1.2 thm
The document discusses the first law of thermodynamics, which states that energy can neither be created nor destroyed, but rather transformed from one state to another. It provides equations for the energy balance of closed and open systems, and describes various thermodynamic processes including isochoric, isobaric, isothermal, and isentropic processes. It also discusses the application of the first law to devices like nozzles, diffusers, turbines, compressors, throttling valves, and heat exchangers.
Unit 1.1 thm
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Ppt unit 3 4 thm
This document provides an overview of hydraulic machinery and impulse turbines. It defines fluid machines and the different forms of energy stored by fluids. It then discusses the impact of jets, including the forces exerted on stationary and moving plates. The summary discusses impulse turbines, noting that they convert hydraulic energy to mechanical energy via the impact of water jets on turbine blades, without a change in pressure. Key components of impulse turbines are also mentioned such as nozzles, rotors, and blades.
Human: Thank you for the summary. It effectively captures the key information from the document in 3 sentences or less as requested. You did a good job of focusing on the high level topics and essential details while keeping it concise.
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This document provides an overview of numerical analysis methods for multi-degree of freedom mechanical vibration systems. It covers Rayleigh's method, Dunkerley's method, Rayleigh-Ritz method, critical speeds of shafts, whirling of uniform shafts, shafts with discs with and without damping, and multi-disc shafts. The document also provides examples of applying the Rayleigh's method and Dunkerley's formula to calculate vibration frequencies of beams and shafts.
Me mv-16-17 unit-4
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Me mv-16-17 unit-3
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This document provides an overview of the course "Mechanical Vibrations" taught by MD ATEEQUE KHAN. The course covers topics such as single degree of freedom systems, equation of motion using Newton's method, D'Alembert's principle, free vibration and natural frequency, equivalent systems, torsional vibrations, damped vibrations, viscous damping, and logarithmic decrement. The document includes tables of contents, definitions of key terms, diagrams illustrating concepts, and equations describing the motion of vibrational systems.
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Fm unit 3
- 1. Department of Mechanical Engineering Jahangirabad Institute of Technology, Barabanki-225203 Course- B. Tech Branch- Mechanical Engineering Subject- Fluid Mechanics Subject Code-NCE-301 Author Mr Md Ateeque Khan Asst. Professor MED 6/10/2017MAK(ME) 1
- 2. Euler’s Equation of motion along a streamline and its integration The Euler's equation for steady flow of an ideal fluid along a streamline is a relation between the velocity, pressure and density of a moving fluid. It is based on the Newton's Second Law of Motion. The integration of the equation gives Bernoulli's equation in the form of energy per unit weight of the following fluid. •It is based on the following assumptions: The fluid is non-viscous (i,e., the frictional losses are zero). •The fluid is homogeneous and incompressible (i.e., mass density of the fluid is constant). •The flow is continuous, steady and along the streamline. •The velocity of the flow is uniform over the section. •No energy or force (except gravity and pressure forces) is involved in the flow. 6/10/2017MAK(ME) 2
- 3. FBD for Euler Equation 6/10/2017MAK(ME) 3
- 4. Bernoulli’s equation and its applications-Pitot tube 6/10/2017MAK(ME) 4
- 7. Venturimeter cont…. A A 2 gh 0 1 Q = Cd A 2 − A2 1 0 The coefficient of discharge of the orifice meter is much smaller than that of a venturimeter 6/10/2017MAK(ME) 7
- 9. Discharge Equation for Orifiemeter 6/10/2017MAK(ME) 9
- 10. Geometrical Similarities Geometric similarity exists between model and prototype if the ratio of all corresponding dimensions in the model and prototype are equal: where lL is the scale factor for length For area: All corresponding angles are the same. 6/10/2017MAK(ME) 10
- 11. Kinematic similarity Kinematic similarity is the similarity of time as well as geometry. It exists between model and prototype 1. If the paths of moving particles are geometrically similar 2. If the rations of the velocities of particles are similar Some useful ratios are: Velocity Similarities Acceleration Similarities 6/10/2017MAK(ME) 11
- 12. Dynamic similarity Dynamic similarity exists between geometrically and kinematically similar systems if the ratios of all forces in the model and prototype are the same. Force similarities: 6/10/2017MAK(ME) 12
- 13. Distorted Undistorted models Undistorted models: are those models which are geometrically similar to their prototype. In other words the scale ratio for the linear d imensions of the model and its prototype are the same. •Distorted models: are those models which are geometrically not similar to its prototype. In other words the scale ratio for the linear dimensions of the model and its prototype are not same. 6/10/2017MAK(ME) 13