Discrepancies frequently occur between a physical system's responses and predictions obtained from mathematical models. The Spectral Stochastic Finite Element Method (SSFEM) has proven successful at forecasting a variety of uncertainties in calculating system responses. This text analyzes a class of discrete mathematical models of engineering systems, identifying key issues and reviewing relevant theoretical concepts, with particular attention to a spectral approach. Random system parameters are modeled as second-order stochastic processes, defined by their mean and covariance functions....
Discrepancies frequently occur between a physical system's responses and predictions obtained from mathematical models. The Spectral Stochastic Finite...
Coherent and self-contained, this volume explains the general method of statistical, or equivalent, linearization and its use in solving random vibration problems. Numerous examples, drawn from a wide variety of engineering problems, offer advanced undergraduate and graduate students a comprehensive view of the method's practical applications. Subjects include general equations of motion and the representation of non-linearities, probability theory and stochastic processes, elements of linear random vibration theory, statistical linearization for simple systems with stationary response,...
Coherent and self-contained, this volume explains the general method of statistical, or equivalent, linearization and its use in solving random vib...
This monograph considers engineering systems with random parame ters. Its context, format, and timing are correlated with the intention of accelerating the evolution of the challenging field of Stochastic Finite Elements. The random system parameters are modeled as second order stochastic processes defined by their mean and covari ance functions. Relying on the spectral properties of the covariance function, the Karhunen-Loeve expansion is used' to represent these processes in terms of a countable set of un correlated random vari ables. Thus, the problem is cast in a finite dimensional...
This monograph considers engineering systems with random parame ters. Its context, format, and timing are correlated with the intention of acceleratin...
This symposium is the seventh of a series of IUTAM symposia dealing with probabilistic methods in mechanics. It focused on advances in the area of probabilistic mechanics with direct application to structural reliability issues. The papers selected for this volume address collectively the four components of a structural reliability problem. They are: characterization of stochastic loads, description of material properties in terms of fatigue and fracture, response determination, and quantitative assessment of the reliability of the structural system. They include Keynote Lectures by V....
This symposium is the seventh of a series of IUTAM symposia dealing with probabilistic methods in mechanics. It focused on advances in the area of pro...
