Lecture 11: Mode Superposition Analysis; Time History

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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

Related Resources

Study Guide (PDF)

Readings

Section 9.3

Examples

Problems 9.6-9.11, 9.14