Lecture 14: Solution of Nonlinear Dynamic Response II

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Topics: Solution of nonlinear dynamic response II

  • Mode superposition analysis in nonlinear dynamics
  • Substructuring in nonlinear dynamics, a schematic example of a building on a flexible foundation
  • Study of analyses to demonstrate characteristics of procedures for nonlinear dynamic solutions
  • Example analysis: Wave propagation in a rod
  • Example analysis: Dynamic response of a three degree-of-freedom system using the central difference method
  • Example analysis: Ten-story tapered tower subjected to blast loading
  • Example analysis: Simple pendulum undergoing large displacements
  • Example analysis: Pipe whip solution
  • Example analysis: Control rod drive housing with lower support
  • Example analysis: Spherical cap under uniform pressure loading
  • Example analysis: Solution of fluid-structure interaction problem

Instructor: Klaus-Jürgen Bathe

Related Resources

Study Guide (PDF - 1.1MB)


Sections 9.1, 9.5


Bathe, K. J. “Finite Element Formulation, Modeling, and Solution of Nonlinear Dynamic Problems.” In Parter, S. V. Numerical Methods for Partial Differential Equations: Proceedings of an Advanced Seminar. Mathematics Research Center, University of Wisconsin-Madison. New York, NY: Academic Press, 1979. ISBN: 978-0125460507.

Bathe, K. J., and S. Gracewski. “On Nonlinear Dynamic Analysis Using Substructuring and Mode Superposition.Computers & Structures 13 (October-December 1981): 699-707.

Ishizaki, T., and K. J. Bathe. “On Finite Element Large Displacement and Elastic-Plastic Dynamic Analysis of Shell Structures.Computers & Structures 12 (September 1980): 309-318.

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