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The parallel developments of the Finite Element Methods (FEM) and the engineering applications of stochastic processes in the mid–20 th century provided a combined numerical analysis tool for the studies of dynamics of structures and structural systems under random loadings. In the open literature, there are books on statistical dynamics of structures and books on structural dynamics with chapters dealing with random response analysis. However, a systematic treatment of stochastic structural dynamics applying the finite element methods seems to be lacking, and this book redresses the balance. Aimed at advanced and specialist levels, the author presents and illustrates closed form solutions and the stochastic central difference methods for the computation of response statistics of linear and quasi–linear structures to nonstationary random loads. In addition to the linear and quasi–linear problems, the text also addresses highly nonlinear systems with uncertain parameters of large variations. The systems considered in the text include beam, plate and shell structures which are represented by the FEM. Key features: Fully illustrated throughout and aimed at advanced and specialist levels, the focus is on closed form solutions and computational approaches Emphasizes results of time–dependent response statistics of beam, plate and shell structures represented by the FEM Presents and illustrates computed results of highly nonlinear deformations of finite rotations and finite strains with large uncertain variations Presents efficient methods for large–scale computation of time–dependent linear and nonlinear response statistics of structural systems approximated by the FEM
About the Author
Cho Wing Solomon To is Professor of Mechanical Engineering at the University of Nebraska–Lincoln, USA. He gained his Ph.D from the University of Southampton, UK, in 1980. Prior to joining UNL, he was a Professor at the University of Western Ontario and an Associate Professor at the University of Calgary. He was a Research Fellow of the Natural Sciences and Engineering Research Council of Canada from 1982–1992, and a Research Fellow at the Institute of Sound and Vibration Research (ISVR), University of Southampton. He is a member of the American Society of Mechanical Engineers (ASME), the American Academy of Mechanics (AAM), the Society of Industrial and Applied Mathematics (SIAM), and a founder Fellow of the Institution of Diagnostics Engineers, U.K. He served as chair of the ASME Finite Element Techniques and Computational Technologies Technical Committee. Dr To’s research interests include Sound and Vibration Studies, Solid and Computational Mechanics, and System Dynamics and Controls. ISBN - 9781118342350
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