Nonlinear Analysis

Lecture 13: Solution of Nonlinear Dynamic Response I

Topics: Solution of nonlinear dynamic response I

  • Basic procedure of direct integration
  • The explicit central difference method, basic equations, details of computations performed, stability considerations, time step selection, relation of critical time step size to wave speed, modeling of problems
  • Practical observations regarding use of the central difference method
  • The implicit trapezoidal rule, basic equations, details of computations performed, time step selection, convergence of iterations, modeling of problems
  • Practical observations regarding use of the trapezoidal rule
  • Combination of explicit and implicit integrations

Instructor: Klaus-Jürgen Bathe

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