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....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 axe 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 axe then derived by using the random variable's moment function method and algebra synthesis method. Two examples axe 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.展开更多
Seismic random vibration analysis of stochastic truss structures is presented.A new method called random factor method is used for dynamic analysis of structures with uncertain parameters,due to variability in their m...Seismic random vibration analysis of stochastic truss structures is presented.A new method called random factor method is used for dynamic analysis of structures with uncertain parameters,due to variability in their material properties and geometry.Using the random factor method,the natural frequencies and modeshapes of a stochastic structure can be respectively described by the product of two parts,corresponding to the random factors of the structural parameters with uncertainty,and deterministic values of the natural frequencies and modeshapes obtained by conventional finite element analysis.The stochastic truss structure is subjected to stationary or non-stationary random earthquake excitation.Computational expressions for the mean and standard deviation of the mean square displacement and mean square stress are developed by means of the random variable's functional moment method and the algebra synthesis method.An antenna and a truss bridge are used as practical engineering examples to illustrate the application of the random factor method in the seismic response analysis of random structures under stationary or non-stationary random earthquake excitation.展开更多
基金Project supported by the Natural Science Foundation of Shaanxi Province of China (No,A200214)
文摘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 axe 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 axe then derived by using the random variable's moment function method and algebra synthesis method. Two examples axe 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.
文摘Seismic random vibration analysis of stochastic truss structures is presented.A new method called random factor method is used for dynamic analysis of structures with uncertain parameters,due to variability in their material properties and geometry.Using the random factor method,the natural frequencies and modeshapes of a stochastic structure can be respectively described by the product of two parts,corresponding to the random factors of the structural parameters with uncertainty,and deterministic values of the natural frequencies and modeshapes obtained by conventional finite element analysis.The stochastic truss structure is subjected to stationary or non-stationary random earthquake excitation.Computational expressions for the mean and standard deviation of the mean square displacement and mean square stress are developed by means of the random variable's functional moment method and the algebra synthesis method.An antenna and a truss bridge are used as practical engineering examples to illustrate the application of the random factor method in the seismic response analysis of random structures under stationary or non-stationary random earthquake excitation.