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Finite Element Methods - FEM
Course:
B.Tech / BE
Group:
Matrix Method
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Question Set
Finite Element Methods
FINITE ELEMENT METHOD
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Intoduction, Basics of Finite Element Method
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One & Two Dimensional Problems
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Shape Function , 1-D Problems on Beam, Bar &Truss Element
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CST Element, ISO-PARAMETRIC Element
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constant model
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Concept of 3D Modelling
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Finite Element Method
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Matrix Algebra
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Gaussian Elimination
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Conjugate Gradient Method for Equation Solving
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One Dimensional – Finite Element Modelling
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Co-ordinates and Shape Functions
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The Potential Energy Approach
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The Galerkin Approach
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Assembly of the Global Stiffness Matrix and Load Vector
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Properties of K
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Finite Element Equations – Treatment of Boundary Conditions
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Quadratic Shape Function
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Temperature Effects
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Plane Trusses
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Three Dimensional Trusses
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Assembly of Global Stiffness Matrix for the Banded & Skyline Solutions
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Two Dimensional – Finite Element Modelling
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Constant Strain Triangle
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Two Dimensional Problems Modelling and Boundary Conditions
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Orthotropic Materials
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Axis Symmetric Formulation
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Finite Element Modelling – Triangular Element
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Problem Modelling and Boundary Conditions
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The Four Node Quadrilateral
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Numerical Integration
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Four Node Quadrilateral for Axis Symmetric Problems
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Conjugate Gradient Implementation of Quadrilateral Element
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Finite Element Formulation
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Load Vector
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Boundary Conditions
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Shear Force & Bending Moment
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Beams on Elastic Support
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Boundary Value Problems-1
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Boundary Value Problems-2
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Comments on Mesh Generation and Imposition of Boundary Conditions
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Single Variable Problems Applications-1
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Single Variable Problems Applications-2
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Eigen Value and Time Dependent Problems-1
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Eigen Value and Time Dependent Problems-2
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Library of Elements and Interpolation Functions – 1
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Library of Elements and Interpolation Functions – 2
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Modelling Considerations
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Plane Elasticity Governing Equations
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Weak Formulations
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Finite Element Model
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Evaluation of Integrals
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Assembly, Boundary and Initial Conditions
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Governing Equations
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Velocity – Pressure Finite Element Model
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Penalty – Finite Element Model – 1
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Penalty – Finite Element Model – 2
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Classical Plate Model
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Shear Deformable Plate Model
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Finite Element Analysis
Matrix Analysis of Structure
Matrix Computation
Application of Matrix Method
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