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[Cho W S To]Stochastic Structural Dynamics Application of Finite Element Methods(pdf){Zzzzz}

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Description

 							
  
  
  One of
the first books to provide in-depth and systematic application of finite element methods to the field of stochastic
structural dynamics
  
  
  The parallel developments of the Finite Element Methods in the
1950’s and the engineering applications of stochastic processes in the 1940’s 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. Aimed at advanced and specialist levels, the author presents and illustrates
direct integration methods for analyzing the statistics of the response of structures to stochastic loads. The analysis
methods are based on structural models represented via the Finite Element Method. In addition to stationary linear
problems the text also addresses non-stationary excitation and systems with spatially stochastic property variations.
  
  ♦ A systematic treatment of stochastic structural dynamics applying the finite element methods
 
♦ Highly illustrated throughout and aimed at advanced and specialist levels, it focuses on computational aspects
instead of theory
  ♦ Emphasizes results mainly in the time domain with limited contents in the frequency
domain
  ♦ Presents and illustrates direct integration methods for analyzing the statistics of the response
of structures to stochastic loads.
  
  Publisher: Wiley; 1 edition (December 16,
2013)
  Language: English
  ISBN-10: 1118342356
  ISBN-13: 978-1118342350
  
 
Editorial Reviews
  From the Back Cover
  
  The parallel
developments of the Finite Element Methods (FEM) and the engineering applications of stochastic processes in the
mid-20th 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. 						

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