Stochastic structural dynamics: application of finite element methods
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Chichester, West Sussex, UK
Wiley
[2014]
|
| Ausgabe: | First edition |
| Schlagworte: | |
| Online-Zugang: | FRO01 UBG01 Volltext |
| Beschreibung: | Triangular Shell Element 267 1B.1 Inverse of Element Generalized Stiffness Matrix 267 1B.2 Element Leverage Matrices 268 1B.3 Element Component Stiffness Matrix Associated with Torsion 271 References 276 1C Consistent Mass Matrix of Lower Order Triangular Shell Element 277 Reference 280 2A Eigenvalue Solution 281 References 282 2B Derivation of Evolutionary Spectral Densities and Variances of Displacements 283 2B.1 Evolutionary Spectral Densities Due to Exponentially Decaying Random Excitations 283 2B.2 Evolutionary Spectral Densities Due to Uniformly Modulated Random Excitations 286 2B.3 Variances of Displacements 288 References 297 2C Time-dependent Covariances of Displacements 299 2D Covariances of Displacements and Velocities 311 2E Time-dependent Covariances of Velocities 317 2F Cylindrical Shell Element Matrices 323 3A Deterministic Newmark Family of Algorithms 327 Reference 331 Index 333 "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"-- Includes bibliographical references and index |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781118402726 1118402723 9781118402740 111840274X 9781118402757 1118402758 |
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| 500 | |a Triangular Shell Element 267 1B.1 Inverse of Element Generalized Stiffness Matrix 267 1B.2 Element Leverage Matrices 268 1B.3 Element Component Stiffness Matrix Associated with Torsion 271 References 276 1C Consistent Mass Matrix of Lower Order Triangular Shell Element 277 Reference 280 2A Eigenvalue Solution 281 References 282 2B Derivation of Evolutionary Spectral Densities and Variances of Displacements 283 2B.1 Evolutionary Spectral Densities Due to Exponentially Decaying Random Excitations 283 2B.2 Evolutionary Spectral Densities Due to Uniformly Modulated Random Excitations 286 2B.3 Variances of Displacements 288 References 297 2C Time-dependent Covariances of Displacements 299 2D Covariances of Displacements and Velocities 311 2E Time-dependent Covariances of Velocities 317 2F Cylindrical Shell Element Matrices 323 3A Deterministic Newmark Family of Algorithms 327 Reference 331 Index 333 | ||
| 500 | |a "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"-- | ||
| 500 | |a Includes bibliographical references and index | ||
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Datensatz im Suchindex
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| author | To, Cho W. S. |
| author_facet | To, Cho W. S. |
| author_role | aut |
| author_sort | To, Cho W. S. |
| author_variant | c w s t cws cwst |
| building | Verbundindex |
| bvnumber | BV043396090 |
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| dewey-full | 624.1/70151922 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 624 - Civil engineering |
| dewey-raw | 624.1/70151922 |
| dewey-search | 624.1/70151922 |
| dewey-sort | 3624.1 870151922 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Bauingenieurwesen |
| edition | First edition |
| format | Electronic eBook |
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| id | DE-604.BV043396090 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:24:51Z |
| institution | BVB |
| isbn | 9781118402726 1118402723 9781118402740 111840274X 9781118402757 1118402758 |
| language | English |
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| spelling | To, Cho W. S. Verfasser aut Stochastic structural dynamics application of finite element methods Cho W. S. To First edition Chichester, West Sussex, UK Wiley [2014] 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Triangular Shell Element 267 1B.1 Inverse of Element Generalized Stiffness Matrix 267 1B.2 Element Leverage Matrices 268 1B.3 Element Component Stiffness Matrix Associated with Torsion 271 References 276 1C Consistent Mass Matrix of Lower Order Triangular Shell Element 277 Reference 280 2A Eigenvalue Solution 281 References 282 2B Derivation of Evolutionary Spectral Densities and Variances of Displacements 283 2B.1 Evolutionary Spectral Densities Due to Exponentially Decaying Random Excitations 283 2B.2 Evolutionary Spectral Densities Due to Uniformly Modulated Random Excitations 286 2B.3 Variances of Displacements 288 References 297 2C Time-dependent Covariances of Displacements 299 2D Covariances of Displacements and Velocities 311 2E Time-dependent Covariances of Velocities 317 2F Cylindrical Shell Element Matrices 323 3A Deterministic Newmark Family of Algorithms 327 Reference 331 Index 333 "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"-- Includes bibliographical references and index MATHEMATICS / Mathematical Analysis bisacsh Finite element method fast Stochastic analysis fast Structural dynamics / Mathematics fast Mathematik Structural dynamics / Mathematics Finite element method Stochastic analysis Strukturdynamik (DE-588)4226174-0 gnd rswk-swf Stochastik (DE-588)4121729-9 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Strukturdynamik (DE-588)4226174-0 s Stochastik (DE-588)4121729-9 s 1\p DE-604 Finite-Elemente-Methode (DE-588)4017233-8 s 2\p DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 978-1-118-34235-0 https://onlinelibrary.wiley.com/doi/book/10.1002/9781118402757 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | To, Cho W. S. Stochastic structural dynamics application of finite element methods MATHEMATICS / Mathematical Analysis bisacsh Finite element method fast Stochastic analysis fast Structural dynamics / Mathematics fast Mathematik Structural dynamics / Mathematics Finite element method Stochastic analysis Strukturdynamik (DE-588)4226174-0 gnd Stochastik (DE-588)4121729-9 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4226174-0 (DE-588)4121729-9 (DE-588)4017233-8 |
| title | Stochastic structural dynamics application of finite element methods |
| title_auth | Stochastic structural dynamics application of finite element methods |
| title_exact_search | Stochastic structural dynamics application of finite element methods |
| title_full | Stochastic structural dynamics application of finite element methods Cho W. S. To |
| title_fullStr | Stochastic structural dynamics application of finite element methods Cho W. S. To |
| title_full_unstemmed | Stochastic structural dynamics application of finite element methods Cho W. S. To |
| title_short | Stochastic structural dynamics |
| title_sort | stochastic structural dynamics application of finite element methods |
| title_sub | application of finite element methods |
| topic | MATHEMATICS / Mathematical Analysis bisacsh Finite element method fast Stochastic analysis fast Structural dynamics / Mathematics fast Mathematik Structural dynamics / Mathematics Finite element method Stochastic analysis Strukturdynamik (DE-588)4226174-0 gnd Stochastik (DE-588)4121729-9 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | MATHEMATICS / Mathematical Analysis Finite element method Stochastic analysis Structural dynamics / Mathematics Mathematik Strukturdynamik Stochastik Finite-Elemente-Methode |
| url | https://onlinelibrary.wiley.com/doi/book/10.1002/9781118402757 |
| work_keys_str_mv | AT tochows stochasticstructuraldynamicsapplicationoffiniteelementmethods |