Lecture 10: Solution of Equilibrium Equations in Dynamic Analysis

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Topics: Solution of finite element equilibrium equations in dynamic analysis

  • Solution of dynamic response by direct integration
  • Basic concepts used
  • Explicit and implicit techniques
  • Implementation of methods
  • Detailed discussion of central difference and Newmark methods
  • Stability and accuracy considerations
  • Integration errors
  • Modeling of structural vibration and wave propagation problems
  • Selection of element and timestep sizes
  • Recommendations on the use of the methods in practice

Instructor: Klaus-Jürgen Bathe

Related Resources

Study Guide (PDF)

Readings

Sections 9.1, 9.2, 9.4

Examples

Problems 9.1-9.5, 9.12-9.14