Dynamic analysis of the stochastic variational principle and stochastic finite element method for structures with random parameters
  
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DOI:10.7511/jslx19983042
KeyWord:stochastic variational principle,random field,stochastic finite element method,perturbation technique,dynamic response,
Zhao Lei Chen Qiu
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Abstract:
      This paper introduces stochastic structural parameters and random dynamic excitation directly into the dynamic functional variational formulations . and develops the dynamic anal- ysis of a unified stochastic variational principle and the corresponding stochastic finite ele- ment method via the instantaneous minimum potential energy principle and the small parame- ter perturbation technique. Numerical examples are examined to show that the approaches proposed herein have the advantages of the simple and convenient program implementation , and are accurate and effective for the dynamic analysis of structures with random parame- tcrs.