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| Stochastic finite element analysis and verification of transversely isotropic plate structure based on limited material parameter test data |
| Received:September 30, 2021 Revised:February 25, 2022 |
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| DOI：10.7511/jslx20210930001 |
| KeyWord:stochastic finite element transverse isotropy particleboard elasticity tensor uncertainty quantification probabilistic model Markov Chain Monte Carlo Metropolis-Hasting algorithm |
| Author | Institution |
| 陈州 |
中南建筑设计院股份有限公司, 武汉 ;武汉大学 土木建筑工程学院, 武汉 |
| 杜新喜 |
武汉大学 土木建筑工程学院, 武汉 |
| 张慎 |
中南建筑设计院股份有限公司, 武汉 |
| 袁焕鑫 |
武汉大学 土木建筑工程学院, 武汉 |
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| Abstract: |
| When material property test date is limited,in order to study the influences of the dispersion and uncertainty of various mechanical parameters on the structural performance,it is extremely necessary to adopt a probabilistic model for material parameters as random variables and construct a random model of stiffness matrix based on probability theory.To this aim,the random elasticity tensor was firstly decomposed into a linear combination of basis tensors and a set of random coefficients which were expressed as functions of material parameters,to take into account the statistical dependence between stiffness components;and probability density function of the random vector composed of the mentioned random coefficients was determined based on the principle of maximum entropy.Then a Monte Carlo Markov Chain method based on Metropolis-Hasting algorithm was used for the estimation of the Lagrange multipliers involved in the probabilistic model and random samples of material parameters were generated in Matlab.Finally,the mechanical behavior of a plate structure composed of transversely isotropic materials under different loads is numerically simulated by Monte Carlo stochastic finite element method.A typical example of particleboard was used to verify the effectiveness and practicability of the approach used in the present work by comparison with test results. |