Appendix C

Numerical Integration of the Equations of Motion

Abstract

This Appendix presents a direct time integration for numerical solution of the equations of motion in structural dynamics. The method has been used to obtain the numerical results in the examples of Chapter 4 and Chapter 5. It applies to systems of linear and nonlinear equations of motion. It is simple to implement. It is self-starting, second order accurate, unconditionally stable and it does not exhibit amplitude decay or period elongation. It performs well when large deformations and longtime durations are considered in the transient response analysis of structures. It can be used as a practical method for the integration of the equations of motion in cases where widely used ...

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