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

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

  • Course: NOC:Basics of Finite Element Analysis
  • Discipline: Mechanical Engineering
  • Faculty: Prof. Nachiketa Tiwari
  • Institute: IIT Kanpur

    • Polynomials as Shape Functions, Weighted Residuals, Elements & Assembly Level Equations - Click on the Video Link shown below to play the video on Youtube. Browse through NOC:Basics of Finite Element Analysis (Mechanical Engineering) Video Lectures by Prof. Nachiketa Tiwari from IIT Kanpur through NPTEL.

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    Course Video Lectures Introduction to Finite Element Analysis(FEA) Introduction of FEA, Nodes, Elements & Shape .. Nodes, Elements & Shape Functions Polynomials as Shape Functions, Weighted Resi.. Types of Errors in FEA, Overall FEA Process &.. Strengths of FE Method, Continuity conditions.. Key concepts and terminologies Weighted integral statements Integration by parts -Review Gradient and Divergence Theorems-Part I Gradient and Divergence Theorems Part-II Functionals Variational Operator Weighted Integral & Weak Formulation Weak Formulation Weak Formulation & Weighted Integral : Princi.. Variational Methods : Rayleigh Ritz Method Rayleigh Ritz Method Method of Weighted Residuals Different types of Weighted Residual Methods .. Different types of Weighted Residual Methods .. FEA formulation for 2nd order BVP - Part I FEA formulation for 2nd order BVP - Part II Element Level Equations 2nd Order Boundary Value Problem Assembly of element equations Assembly of element equations, and implementa.. Assembly process and the connectivity matrix Radially Symmetric Problems One dimensional heat transfer 1D-Heat conduction with convective effects : .. Euler-Bernoulli beam Interpolation functions for Euler-Bernoulli b.. Finite element equations for Euler-Bernoulli .. Assembly equations for Euler-Bernoulli beam Boundary conditions for Euler-Bernoulli beam Shear deformable beams Finite element formulation for shear deformab.. Finite element formulation for shear deformab.. Equal interpolation but reduced integration .. Eigenvalue problems Eigenvalue problems : examples
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