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Methods of stochastic structural dynamics |
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| Authors: | Y K Lin F Kozin Y K Wen F Casciati G I Schuëller A Der Kiureghian O Ditlevsen E H Vanmarcke |
| Affiliation: | a Florida Atlantic University, U.S.A. b Polytechnic Institute of New York, U.S.A. c University of Illinois, Urbana, U.S.A. d University of Pavia, Italy e University of Innsbruck, Austria f University of California, Berkeley, U.S.A. g Technical University of Denmark, Lyngby, Denmark h Princeton University, U.S.A. |
| Abstract: | A concise review is given of the analytical methods of stochastic structural dynamics which deals with structural systems under time-varying random excitation. Included in the review are both linear and nonlinear structures and both parametric and non-parametric random excitations. Mathematically, parametric excitations appear in the coefficients for the unknowns in the equations of motion, whereas non-parametric excitations appear as inhomogeneous terms on the right hand side. Physically, random parametric excitations represent the variation of structural properties with time; therefore, they can affect the stability of structural response. Approximate methods are described for those cases for which exact solutions are presently not available. |
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