Nonlinear Random Vibration: Computational Methods

This monograph is a companion to Nonlinear Random Vibration: Analytical Techniques and Applications, published in 2000 by Swets and Zeitlinger Publishers, Lisse, the Netherlands. It provides three classes of computational methods for dealing with nonlinear systems under stationary and nonstationary random excitations. The emphasis throughout is on systems with large numbers of degrees of freedom. The classes considered are methods of statistical linearization, perturbation approximation techniques which include the stochastic and probabilistic finite element methods, and direct integration methods for temporally and spatially stochastic nonlinear systems. A special feature of this monograph is the presentation of results of many applications which include those of plate and shell structures discretized by the finite element method. It is suitable for self-study, advanced level graduate students, and applied scientists and engineers. Targeted audience: Graduates, research scientists and engineers in mechanical, aerospace, civil and environmental (earthquake, wind and transportation), automobile, naval, architectural, and mining engineering.