Dynamic Characteristic Analysis of Fuzzy Stochastic Truss Structures Based on Fuzzy Factor Method and Random Factor Method

MA Juan; CHEN Jian-jun; XU Ya-lan; JIANG Tao

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(6): 727-734

MA Juan, CHEN Jian-jun, XU Ya-lan, JIANG Tao. Dynamic Characteristic Analysis of Fuzzy Stochastic Truss Structures Based on Fuzzy Factor Method and Random Factor Method[J]. Applied Mathematics and Mechanics, 2006, 27(6): 727-734.

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Dynamic Characteristic Analysis of Fuzzy Stochastic Truss Structures Based on Fuzzy Factor Method and Random Factor Method

School of Electromechanical Engineering, Xidian University, Xi'an, 710071, P. R. China

Received Date: 2004-07-11
Rev Recd Date: 2006-01-03
Publish Date: 2006-06-15

Abstract

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 were 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 was obtained by means of the interval arithmetic;the fuzzy numeric characteristics of dynamic characteristic were then derived by using the random variable's moment function method and algebra synthesis method.Two examples were 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 parameter on the fuzzy randomness of the dynamic characteristic can be reflected expediently and objectively.
- fuzzy stochastic truss,
- fuzzy factor method,
- random factor method,
- fuzzy random dynamic characteristic

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References(15)

References

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