RES.2-002 | Spring 2010 | Graduate

Finite Element Procedures for Solids and Structures

Linear Analysis

Lecture 2: Analysis of Continuous Systems

Topics: Analysis of continuous systems; differential and variational formulations

  • Basic concepts in the analysis of continuous systems
  • Differential and variational formulations
  • Essential and natural boundary conditions
  • Definition of Cm-1 variational problem
  • Principle of virtual displacements
  • Relation between stationarity of total potential, the principle of virtual displacements, and the differential formulation
  • Weighted residual methods, Galerkin, least squares methods
  • Ritz analysis method
  • Properties of the weighted residual and Ritz methods
  • Example analysis of a nonuniform bar, solution accuracy, introduction to the finite element method

Instructor: Klaus-Jürgen Bathe

Course Info

As Taught In
Spring 2010