| DYNAMIC CHARACTERISTIC ANALYSIS OF FUZZY- STOCHASTIC TRUSS STRUCTURES BASED ON FUZZY FACTOR METHOD AND RANDOM FACTOR METHOD |
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| 作者姓名： | 马娟 陈建军 徐亚兰 江涛 |
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| 作者单位： | School of Electromechanical Engineering Xidian University Xi'an 710071，P. R. China，School of Electromechanical Engineering Xidian University，Xi'an 710071，P. R. China，School of Electromechanical Engineering Xidian University，Xi'an 710071，P. R. China，School of Electromechanical Engineering Xidian University，Xi'an 710071，P. R. China |
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| 摘 要： | A new fuzzy stochastic finite element method based on the fuzzy factor method and random factor method is given and the analysis of structural dynamic characteristic for fuzzy stochastic truss structures is presented. Considering the fuzzy randomness of the structural physical parameters and geometric dimensions simultaneously, the structural stiffness and mass matrices are constructed based on the fuzzy factor method and random factor method; from the Rayleigh's quotient of structural vibration, the structural fuzzy random dynamic characteristic is obtained by means of the interval arithmetic; the fuzzy numeric characteristics of dynamic characteristic are then derived by using the random variable's moment function method and algebra synthesis method. Two examples are used to illustrate the validity and rationality of the method given. The advantage of this method is that the effect of the fuzzy randomness of one of the structural parameters on the fuzzy randomness of the dynamic characteristic can be reflected expediently and objectively.
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| 关 键 词： | 动态分析 模糊因数 随机因数法 桁结构 |
| 收稿时间： | 2004-07-11 |
| 修稿时间： | 2006-01-03 |
Dynamic characteristic analysis of fuzzy-stochastic truss structures based on fuzzy factor method and random factor method |
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| Juan Ma,Jian-jun Chen,Ya-lan Xu,Tao Jiang.DYNAMIC CHARACTERISTIC ANALYSIS OF FUZZY- STOCHASTIC TRUSS STRUCTURES BASED ON FUZZY FACTOR METHOD AND RANDOM FACTOR METHOD[J].Applied Mathematics and Mechanics(English Edition),2006,27(6):823-832. |
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| Authors: | Juan Ma Jian-jun Chen Ya-lan Xu Tao Jiang |
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| Institution: | School of Electromechanical Engineering, Xidian University, Xi'an 710071, P. R. China |
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| Abstract: | A new fuzzy stochastic finite element method based on the fuzzy factor method and random factor method is given and the analysis of structural dynamic characteristic for fuzzy stochastic truss structures is presented. Considering the fuzzy randomness of the structural physical parameters and geometric dimensions simultaneously, the structural stiffness and mass matrices are constructed based on the fuzzy factor method and random factor method; from the Rayleigh's quotient of structural vibration, the structural fuzzy random dynamic characteristic is obtained by means of the interval arithmetic; the fuzzy numeric characteristics of dynamic characteristic are then derived by using the random variable's moment function method and algebra synthesis method. Two examples are used to illustrate the validity and rationality of the method given. The advantage of this method is that the effect of the fuzzy randomness of one of the structural parameters on the fuzzy randomness of the dynamic characteristic can be reflected expediently and objectively. |
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| Keywords: | fuzzy stochastic truss fuzzy factor method random factor method fuzzyrandom dynamic characteristic |
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