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Monte Carlo Analysis of Nonlinear Vibration of Rectangular Plates with Random Geometric Imperfections
Fei-Yue Wang
Source PublicationInternational Journal of Solids and Structures
1990
Volume26Issue:1Pages:99-109
Abstract
The effect of random initial geometric imperfections on the vibration behavior of rectangular plates is investigated in thii paper using a statistical method. The random initial geometric imperfections of plates are described by Gaussiun random fields and simulated numerically using EWwko~s method. Lindstedt-Poincark’sp erturbation technique is employed to solve Du@tg’s Equation with an additional quadratic spring term derived in the vibration analysis of imperfect rectangular plates. A Nonre Carlo analysis for simply supported plates is carried out in detail to illustrate the proposed approach. It is shown that the effect of random geometric imperfections on the vibration behavior of the plates can be described quantitatively in terms of the frequency reliability function and the hardening type probability.
KeywordMonte Carlo Analysis
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/14190
Collection09年以前成果
Corresponding AuthorFei-Yue Wang
AffiliationDepartment of Mechanics, Zhejiang University, Hangzhou, China
Recommended Citation
GB/T 7714
Fei-Yue Wang. Monte Carlo Analysis of Nonlinear Vibration of Rectangular Plates with Random Geometric Imperfections[J]. International Journal of Solids and Structures,1990,26(1):99-109.
APA Fei-Yue Wang.(1990).Monte Carlo Analysis of Nonlinear Vibration of Rectangular Plates with Random Geometric Imperfections.International Journal of Solids and Structures,26(1),99-109.
MLA Fei-Yue Wang."Monte Carlo Analysis of Nonlinear Vibration of Rectangular Plates with Random Geometric Imperfections".International Journal of Solids and Structures 26.1(1990):99-109.
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