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| A polynomial dimensional decomposition method for analyzing response of uncertain structures in time domain |
| Received:December 06, 2020 Revised:January 10, 2021 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20201206001 |
| KeyWord:uncertainty quantification polynomial dimensional decomposition orthogonal polynomials dimension-reduction integration |
| Author | Institution |
| 赵岩 |
大连理工大学 工业装备结构分析国家重点实验室 工程力学系, 大连 |
| 刘凡 |
大连理工大学 工业装备结构分析国家重点实验室 工程力学系, 大连 |
| 孙晓旭 |
大连理工大学 工业装备结构分析国家重点实验室 工程力学系, 大连 |
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| Abstract: |
| A polynomial dimensional decomposition method for uncertainty propagation and quantification in time domain is proposed for structures with uncertain parameters,and the evolution processes of statistical moments of structural responses are determined.Firstly,the uncertainties of structural parameters are described by the parametric probabilistic model to establish the dynamic equation of the structure,and the structural response is expressed as a function of uncertain parameters.Furthermore,a dimensional decomposition of the structural response is performed using component functions,and the Fourier expansion of the component function is carried out using orthonormal polynomial basis.Finally,the dimension-reduction integration method is used to calculate the expansion coefficients,and the calculation expressions of the mean value and standard deviation of the response are given.The proposed method is compared with the Monte Carlo method using numerical examples,and the results show that the proposed method has good accuracy and efficiency. |
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