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