Probabilistic Structural Dynamics

This title presents powerful new mathmatical tools for structural dynamics. Presenting powerful new methods for analyzing uncertainties in the performance of designed systems, "Probabilistic Structural Dynamics" offers unparalleled tools for predicting the performance of new designs with new materials. In this text, pioneering engineers Y.K. Lin and G.Q. Cai demonstrate innovative mathematical techniques and explain how they can both improve safety and drive new efficiencies in contemporary structures. Employing spectral analysis, Markov processes, and other stochastic tools, Lin and Cai show you step-by-step how to: perform dynamic analyses of linear and nonlinear systems; apply evolutionary spectral analysis; approximate solutions for multidimensional nonlinear systems; use insights from first-excursion failures; find answers for disordered structures; and employ stochastics to achieve safer, more efficient design.