Finite element analysis of space truss by abaqus
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As a part of seminar of FEM we presented ppt on 3D Tues Analysis by ABAQUS Software & Checked by manual calculation
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Abaqus intro
This document provides an overview of the finite element analysis software ABAQUS. It describes ABAQUS's capabilities including static, dynamic, heat transfer and other analysis types. It also outlines the basic components of an ABAQUS model including elements, materials and procedures. Examples of element types, analysis procedures and example applications are also presented to illustrate ABAQUS's usage and capabilities.
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The document discusses the finite element method (FEM) for analyzing truss structures. It begins with objectives of becoming familiar with FEM concepts for truss elements like stiffness matrices and assembling the global stiffness matrix. It then covers derivation of the element stiffness matrix in local coordinates, transforming it to global coordinates, and assembling the global stiffness matrix of the overall structure from the element matrices. Strain and stress calculations are also briefly discussed. Finally, an example problem is presented to demonstrate the FEM process for a simple truss structure.
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The document discusses various numerical methods for analyzing mechanical components under applied loads, including the finite element method. It describes weighted residual methods like the Galerkin method and collocation method which approximate solutions by minimizing residuals. The variational or Rayleigh-Ritz method selects displacement fields to minimize total potential energy. The finite element method divides a structure into small elements and applies these methods to obtain approximate solutions for displacements and stresses at discrete points.
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This document outlines the use of the finite element method to analyze beam problems. It discusses:
1) Discretizing beams into elements, representing distributed loads as equivalent nodal forces, and assembling the global stiffness matrix.
2) Solving for unknown displacements and rotations using the reduced stiffness matrix after applying boundary conditions.
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One of the most Simple and Interesting topics in Engineering is FEA. My work will guide average students to score good marks. I have given you full package which includes 2 Marks and Question Banks of previous year. All the Best
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This document provides an overview of the finite element analysis software ABAQUS. It describes ABAQUS's capabilities including static, dynamic, heat transfer and other analysis types. It also outlines the basic components of an ABAQUS model including elements, materials and procedures. Examples of element types, analysis procedures and example applications are also presented to illustrate ABAQUS's usage and capabilities.
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The document discusses the finite element method (FEM) for analyzing truss structures. It begins with objectives of becoming familiar with FEM concepts for truss elements like stiffness matrices and assembling the global stiffness matrix. It then covers derivation of the element stiffness matrix in local coordinates, transforming it to global coordinates, and assembling the global stiffness matrix of the overall structure from the element matrices. Strain and stress calculations are also briefly discussed. Finally, an example problem is presented to demonstrate the FEM process for a simple truss structure.
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The document discusses various numerical methods for analyzing mechanical components under applied loads, including the finite element method. It describes weighted residual methods like the Galerkin method and collocation method which approximate solutions by minimizing residuals. The variational or Rayleigh-Ritz method selects displacement fields to minimize total potential energy. The finite element method divides a structure into small elements and applies these methods to obtain approximate solutions for displacements and stresses at discrete points.
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This document outlines the use of the finite element method to analyze beam problems. It discusses:
1) Discretizing beams into elements, representing distributed loads as equivalent nodal forces, and assembling the global stiffness matrix.
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2. A linear spring and elastic bar can each be modeled as a finite element with a 2x2 stiffness matrix. Their matrices are derived from relating nodal displacements to forces based on Hooke's law and the element's geometry.
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- 1. FINITE ELEMENT METHODS SARDAR VALLABHAI PATEL INSTITUTE OF TECHNOLOGY-SURAT ROLL NO: P16ST016-CHANDRASHEKHAR L P16ST017-AKASH J K P16ST018-SUNIL KUMAR BAIRWA P16SM001-GAYATHRI NAIR G R P16SM002-HRISHIKESH AGASHEY
- 2. Contents: 1. Problem statement 2. Manual calculations 3. Introduction of FEM-software (ABAQUS) 4. Inputs of the problem 5. Observation of results in different cases(meshing) 6. Conclusion
- 3. Problem statement 1.For the space truss shown in Figure below, determine the nodal displacements and the stress in each elements. Let E = 210 GPa and A = 10 X 10-4 m2 for all elements. Verify force equilibrium at node 1. The coordinates of each node, in meters, are shown in the figures. All supports are ball-and-socket joints.
- 8. Introduction to FEM Software • Abaqus FEA (formerly ABAQUS) is a software suite for finite element analysis and computer-aided engineering • The Abaqus products use the open-source scripting language Python for scripting and customization
- 9. Introduction to FEM Software cont.. • Abaqus is used in the automotive, aerospace, and industrial products industries. The product is popular with non-academic and research institutions in engineering due to the wide material modelling capability. • The program's ability to be customized is its main feature
- 11. SEQUENCE OF MODULES IN ABAQUS 1.PART 2.PROPERTY 3.LOAD 4.MESH 5.JOB 6.VISUALIZATION
- 12. Inputs of the problem BASIC FEATURES OF STRUCTURE: NUMBER OF ELEMENTS =5 NUMBER OF NODES =5 D.O.F/Node =3 TOTAL NUMBER OF D.O.F =15
- 16. Meshing(seeding the element=1 no):displacement of node1 in x-direction Potential Energy function: 𝜋 = 0 𝑙 ( 𝐴𝐸 2 ( 𝑑𝑢 𝑑𝑥 )2AE-qu)dx Order of the potential function is 1 ∴ 𝑛 − 1 = 0 𝑐0 𝑐𝑜𝑛𝑡𝑖𝑛𝑢𝑡𝑦 displaceme nt continuity is followed by truss element
- 17. Meshing(seeding the element=1 no):displacement of node1 in y-direction
- 18. Meshing(seeding the element=1 no): The displacement of node1 in z-direction
- 20. Comparison of results with respect to meshing Case 1: seeding the element=1no’s Case 2: seeding the element=2 no’s Case3: seeding the element=10no’s Case 4seeding the element=100no’s
- 21. Primary Nodes: To connect member to member Secondary Nodes: with in element HIGHER ORDER ELEMENTS: D.O.F Increased for per element by discretising into large no of simple elements
- 22. Meshing(seeding the element=2 no):displacement of node1 in x-direction Secondary Node Primary node
- 23. Meshing(seeding the element=2 no):displacement of node1 in y-direction
- 24. Meshing(seeding the element=2 no):displacement of node1 in z-direction
- 25. Meshing(seeding the element=3 no):displacement of node1 in x-direction
- 26. Meshing(seeding the element=4 no):displacement of node1 in x-direction
- 28. Meshing(seeding the element=100 no): The displacement of node1 in x-direction
- 29. Stresses Developed in members are:
- 30. -3.02368E-05 8.42997E-05 -8.13375E-05 0.000530097 -0.000108387 -0.0002 -0.0001 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0 20 40 60 80 100 120 Y Axis:-displacement in X-direction Observation of results in different cases(meshing)
- 31. -0.000151773 -0.000188783 -0.000190815 -0.000190584 -0.000190477 -0.00025 -0.0002 -0.00015 -0.0001 -0.00005 0 0 20 40 60 80 100 120 Y axis:-Displacement in y direction
- 32. -0.000074933 0.000119731 -0.000677045 -0.0008 -0.0007 -0.0006 -0.0005 -0.0004 -0.0003 -0.0002 -0.0001 0 0.0001 0.0002 0 20 40 60 80 100 120 Y Axis:-Displacement in Z direction
- 33. conclusion • Manual calculations and software analysis values are matched. • The number of elements are increased to particular no’s then variations in results are too high. • From the comparison it is found that “for analysis of truss one element is sufficient for accuracy” further confirmed by potential energy functional theory.