Канал: Basics of Finite Element Analysis-I

Temporal approximation for parabolic problems : Part-I

Temporal approximation for parabolic problems : Part-I

Introduction to time dependent problems

Introduction to time dependent problems

Temporal approximation for hyperbolic problems

Temporal approximation for hyperbolic problems

Temporal approximation for parabolic problems : Part-II

Temporal approximation for parabolic problems : Part-II

Spatial approximation

Spatial approximation

Explicit and implicit method, diagonalization of mass matrix, closure

Explicit and implicit method, diagonalization of mass matrix, closure

Eigenvalue problems

Eigenvalue problems

Finite element formulation for shear deformable beams : Part - II

Finite element formulation for shear deformable beams : Part - II

Equal interpolation but reduced integration element

Equal interpolation but reduced integration element

Finite element formulation for shear deformable beams : Part - I

Finite element formulation for shear deformable beams : Part - I

Shear deformable beams

Shear deformable beams

Eigenvalue problems : examples

Eigenvalue problems : examples

1D-Heat conduction with convective effects : examples

1D-Heat conduction with convective effects : examples

Euler-Bernoulli beam

Euler-Bernoulli beam

Interpolation functions for Euler-Bernoulli beam

Interpolation functions for Euler-Bernoulli beam

Finite element equations for Euler-Bernoulli beam

Finite element equations for Euler-Bernoulli beam

Assembly equations for Euler-Bernoulli beam

Assembly equations for Euler-Bernoulli beam

Boundary conditions for Euler-Bernoulli beam

Boundary conditions for Euler-Bernoulli beam

Radially Symmetric Problems

Radially Symmetric Problems

Assembly process and the connectivity matrix

Assembly process and the connectivity matrix

2nd Order Boundary Value Problem

2nd Order Boundary Value Problem

Assembly of element equations

Assembly of element equations

Assembly of element equations, and implementation of boundary conditions

Assembly of element equations, and implementation of boundary conditions

One dimensional heat transfer

One dimensional heat transfer

Method of Weighted Residuals

Method of Weighted Residuals

Different types of Weighted Residual Methods - Part I

Different types of Weighted Residual Methods - Part I

Different types of Weighted Residual Methods - Part II

Different types of Weighted Residual Methods - Part II

FEA formulation for 2nd order BVP - Part I

FEA formulation for 2nd order BVP - Part I

FEA formulation for 2nd order BVP - Part II

FEA formulation for 2nd order BVP - Part II

Element Level Equations

Element Level Equations

Variational Operator

Variational Operator

Weighted integral & Weak formulation

Weighted integral & Weak formulation

Weak Formulation

Weak Formulation

Weak Formulation & Weighted Integral : Principle of minimum potential energy

Weak Formulation & Weighted Integral : Principle of minimum potential energy

Variational Methods : Rayleigh Ritz Method

Variational Methods : Rayleigh Ritz Method

Rayleigh Ritz Method

Rayleigh Ritz Method

Gradient and Divergence Theorems Part-II

Gradient and Divergence Theorems Part-II

Gradient and Divergence Theorems-Part I

Gradient and Divergence Theorems-Part I

Integration by parts -Review

Integration by parts -Review

Weighted integral statements

Weighted integral statements

Key concepts and terminologies

Key concepts and terminologies

Functionals

Functionals

Strengths of FE Method, Continuity conditions at Interfaces

Strengths of FE Method, Continuity conditions at Interfaces

Types of Errors in FEA, Overall FEA Process & Convergence

Types of Errors in FEA, Overall FEA Process & Convergence

Polynomials as Shape Functions, Weighted Residuals, Elements & Assembly Level Equations

Polynomials as Shape Functions, Weighted Residuals, Elements & Assembly Level Equations

Nodes, Elements & Shape Functions

Nodes, Elements & Shape Functions

Philosphy of FEA, Nodes, Elements & Shape Functions

Philosphy of FEA, Nodes, Elements & Shape Functions

Introduction to Finite Element Analysis(FEA)

Introduction to Finite Element Analysis(FEA)

Basics of Finite Element Analysis

Basics of Finite Element Analysis