Stochastic Finite Elements: A Spectral Approach:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1991
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 setting. Then, various spectral approximations for the stochastic response of the system are obtained based on different criteria. Implementing the concept of Generalized Inverse as defined by the Neumann Ex pansion, leads to an explicit expression for the response process as a multivariate polynomial functional of a set of un correlated random variables. Alternatively, the solution process is treated as an element in the Hilbert space of random functions, in which a spectral repre sentation in terms of the Polynomial Chaoses is identified. In this context, the solution process is approximated by its projection onto a finite subspace spanned by these polynomials |
| Physical Description: | 1 Online-Ressource (X, 214p. 94 illus) |
| ISBN: | 9781461230946 9781461277958 |
| DOI: | 10.1007/978-1-4612-3094-6 |
Staff View
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:47Z |
| institution | BVB |
| isbn | 9781461230946 9781461277958 |
| language | English |
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| spelling | Ghanem, Roger G. Verfasser aut Stochastic Finite Elements: A Spectral Approach by Roger G. Ghanem, Pol D. Spanos New York, NY Springer New York 1991 1 Online-Ressource (X, 214p. 94 illus) txt rdacontent c rdamedia cr rdacarrier 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 setting. Then, various spectral approximations for the stochastic response of the system are obtained based on different criteria. Implementing the concept of Generalized Inverse as defined by the Neumann Ex pansion, leads to an explicit expression for the response process as a multivariate polynomial functional of a set of un correlated random variables. Alternatively, the solution process is treated as an element in the Hilbert space of random functions, in which a spectral repre sentation in terms of the Polynomial Chaoses is identified. In this context, the solution process is approximated by its projection onto a finite subspace spanned by these polynomials Physics Chemistry / Mathematics Mechanics Engineering Civil engineering Civil Engineering Theoretical, Mathematical and Computational Physics Math. Applications in Chemistry Computational Intelligence Chemie Ingenieurwissenschaften Mathematik Strukturmechanik (DE-588)4126904-4 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Stochastisches System (DE-588)4057635-8 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Stochastische Mechanik (DE-588)4201240-5 gnd rswk-swf Strukturmechanik (DE-588)4126904-4 s Stochastischer Prozess (DE-588)4057630-9 s Finite-Elemente-Methode (DE-588)4017233-8 s 1\p DE-604 Stochastische Mechanik (DE-588)4201240-5 s 2\p DE-604 Stochastisches System (DE-588)4057635-8 s 3\p DE-604 Spanos, Pol D. Sonstige oth https://doi.org/10.1007/978-1-4612-3094-6 Verlag 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ghanem, Roger G. Stochastic Finite Elements: A Spectral Approach Physics Chemistry / Mathematics Mechanics Engineering Civil engineering Civil Engineering Theoretical, Mathematical and Computational Physics Math. Applications in Chemistry Computational Intelligence Chemie Ingenieurwissenschaften Mathematik Strukturmechanik (DE-588)4126904-4 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Stochastisches System (DE-588)4057635-8 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Stochastische Mechanik (DE-588)4201240-5 gnd |
| subject_GND | (DE-588)4126904-4 (DE-588)4057630-9 (DE-588)4057635-8 (DE-588)4017233-8 (DE-588)4201240-5 |
| title | Stochastic Finite Elements: A Spectral Approach |
| title_auth | Stochastic Finite Elements: A Spectral Approach |
| title_exact_search | Stochastic Finite Elements: A Spectral Approach |
| title_full | Stochastic Finite Elements: A Spectral Approach by Roger G. Ghanem, Pol D. Spanos |
| title_fullStr | Stochastic Finite Elements: A Spectral Approach by Roger G. Ghanem, Pol D. Spanos |
| title_full_unstemmed | Stochastic Finite Elements: A Spectral Approach by Roger G. Ghanem, Pol D. Spanos |
| title_short | Stochastic Finite Elements: A Spectral Approach |
| title_sort | stochastic finite elements a spectral approach |
| topic | Physics Chemistry / Mathematics Mechanics Engineering Civil engineering Civil Engineering Theoretical, Mathematical and Computational Physics Math. Applications in Chemistry Computational Intelligence Chemie Ingenieurwissenschaften Mathematik Strukturmechanik (DE-588)4126904-4 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Stochastisches System (DE-588)4057635-8 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Stochastische Mechanik (DE-588)4201240-5 gnd |
| topic_facet | Physics Chemistry / Mathematics Mechanics Engineering Civil engineering Civil Engineering Theoretical, Mathematical and Computational Physics Math. Applications in Chemistry Computational Intelligence Chemie Ingenieurwissenschaften Mathematik Strukturmechanik Stochastischer Prozess Stochastisches System Finite-Elemente-Methode Stochastische Mechanik |
| url | https://doi.org/10.1007/978-1-4612-3094-6 |
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