Lecture 4: Generalized Coordinate Finite Element Models

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 Topics: Generalized coordinate finite element models

  • Classification of problems: truss, plane stress, plane strain, axisymmetric, beam, plate, and shell conditions; corresponding displacement, strain, and stress variables
  • Derivation of generalized coordinate models
  • One-, two-, three-dimensional elements, plate and shell elements
  • Example analysis of a cantilever plate, detailed derivation of element matrices
  • Lumped and consistent loading
  • Example results
  • Summary of the finite element solution process
  • Solution errors
  • Convergence requirements, physical explanations, the patch test

Instructor: Klaus-Jürgen Bathe

Related Resources

Study Guide (PDF)

Readings

Sections 4.2.3-4.2.5, 4.3, 4.4.1

Examples

Problems 4.15-4.28