Hybrid Stochastic Finite Element Method for Mechanical Vibration Problems
We present and analyze a new hybrid stochastic finite element method for solving eigenmodes of structures with random geometry and random elastic modulus. The fundamental assumption is that the smallest eigenpair is well defined over the whole stochastic parameter space. The geometric uncertainty...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2015/812069 |
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| Summary: | We present and analyze a new hybrid stochastic finite element method for solving
eigenmodes of structures with random geometry and random elastic modulus.
The fundamental assumption is that the smallest eigenpair is well defined
over the whole stochastic parameter space.
The geometric uncertainty is resolved using collocation and random material
models using Galerkin method at each collocation point. The response statistics,
expectation and variance of the smallest eigenmode, are computed in numerical
experiments. The hybrid approach is superior to alternatives in practical
cases where the number of random parameters used to describe geometric uncertainty
is much smaller than that of the material models. |
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| ISSN: | 1070-9622 1875-9203 |