Overview
- Provides a thorough treatment of a class of model reduction techniques for structural dynamical systems
- Includes applications to simulation-based problems such as reliability analysis, reliability sensitivity analysis, reliability-based design optimization and Bayesian finite element model updating
- Presents parametric reduced-order models for efficient dynamic re-analyses
Part of the book series: Lecture Notes in Applied and Computational Mechanics (LNACM, volume 89)
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Table of contents (7 chapters)
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Front Matter
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Application to Reliability Problems
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Front Matter
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Application to Identification Problems
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Front Matter
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Keywords
About this book
This book combines a model reduction technique with an efficient parametrization scheme for the purpose of solving a class of complex and computationally expensive simulation-based problems involving finite element models. These problems, which have a wide range of important applications in several engineering fields, include reliability analysis, structural dynamic simulation, sensitivity analysis, reliability-based design optimization, Bayesian model validation, uncertainty quantification and propagation, etc. The solution of this type of problems requires a large number of dynamic re-analyses. To cope with this difficulty, a model reduction technique known as substructure coupling for dynamic analysis is considered. While the use of reduced order models alleviates part of the computational effort, their repetitive generation during the simulation processes can be computational expensive due to the substantial computational overhead that arises at the substructure level. Inthis regard, an efficient finite element model parametrization scheme is considered. When the division of the structural model is guided by such a parametrization scheme, the generation of a small number of reduced order models is sufficient to run the large number of dynamic re-analyses. Thus, a drastic reduction in computational effort is achieved without compromising the accuracy of the results. The capabilities of the developed procedures are demonstrated in a number of simulation-based problems involving uncertainty.
Reviews
“The ideas and techniques developed here will serve to stimulate further research in this dynamic field, and, in this way, the book will become a valuable reference for researchers, engineers, and students in the field of engineering, mechanics, and applied sciences.” (Savin Treanta, zbMATH 1457.93003, 2021)
Authors and Affiliations
Bibliographic Information
Book Title: Sub-structure Coupling for Dynamic Analysis
Book Subtitle: Application to Complex Simulation-Based Problems Involving Uncertainty
Authors: Hector Jensen, Costas Papadimitriou
Series Title: Lecture Notes in Applied and Computational Mechanics
DOI: https://doi.org/10.1007/978-3-030-12819-7
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-12818-0Published: 27 March 2019
Softcover ISBN: 978-3-030-12821-0Published: 28 October 2020
eBook ISBN: 978-3-030-12819-7Published: 26 March 2019
Series ISSN: 1613-7736
Series E-ISSN: 1860-0816
Edition Number: 1
Number of Pages: XIII, 227
Number of Illustrations: 59 b/w illustrations, 47 illustrations in colour
Topics: Solid Mechanics, Computational Science and Engineering, Probability Theory and Stochastic Processes