RES.2-002 | Spring 2010 | Graduate

Finite Element Procedures for Solids and Structures

Linear Analysis

Lecture 11: Mode Superposition Analysis; Time History

Topics: Mode superposition analysis; time history

  • Solution of dynamic response by mode superposition
  • The basic idea of mode superposition
  • Derivation of decoupled equations
  • Solution with and without damping
  • Caughey and Rayleigh damping
  • Calculation of damping matrix for given damping ratios
  • Selection of number of modal coordinates
  • Errors and use of static correction
  • Practical considerations

Instructor: Klaus-Jürgen Bathe

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      Study Guide (PDF)

      Readings

      Section 9.3

      Examples

      Problems 9.6-9.11, 9.14

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      Spring 2010
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      Graduate
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