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Numerical integration of structural dynamics equations including natural damping and periodic forcing terms
Author(s) -
Wood W. L.
Publication year - 1981
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620170211
Subject(s) - discretization , omega , forcing (mathematics) , simple (philosophy) , space (punctuation) , order (exchange) , physics , mathematics , mathematical analysis , computer science , philosophy , epistemology , quantum mechanics , operating system , finance , economics
This paper shows that it is comparatively simple to analyse algorithms for the numerical integration of the Space discretized equations from structural dynamics when applied to \documentclass{article}\pagestyle{empty}\begin{document}$\ddot x + \mu \dot x\omega ^2 x = p{\rm e}^{ist} $\end{document} , instead of the usual \documentclass{article}\pagestyle{empty}\begin{document}$ \ddot x + \omega ^2 x = 0 $\end{document} , and suggests that this should be done in order to gain some insight into the effect with natural damping and/or a periodic forcing term. The method is illustrated on some three‐ and four‐time‐level schemes.