Lecture 2: Analysis of Continuous Systems

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 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

Related Resources

Study Guide (PDF)

Readings

Sections 3.3, 3.4

Examples

Problems 3.15-3.31