Li Shu, Zhuo Jiashou, Ren Qingwen. Parameter Identification of Dynamic Models Using a Bayes Approach[J]. Applied Mathematics and Mechanics, 2000, 21(4): 402-408.
 Citation: Li Shu, Zhuo Jiashou, Ren Qingwen. Parameter Identification of Dynamic Models Using a Bayes Approach[J]. Applied Mathematics and Mechanics, 2000, 21(4): 402-408.

# Parameter Identification of Dynamic Models Using a Bayes Approach

• Received Date: 1998-12-01
• Rev Recd Date: 1999-12-18
• Publish Date: 2000-04-15
• The Bayesian method of statistical analysis has been applied to the parameter identification problem.A method is presented to identify parameters of dynamic models with the Bayes estimators of measurement frequencies.This is based on the solution of an inverse generalized eigenvalue problem.The stochastic nature of test date is considered and a normal distribution is used for the measurement frequencies.An additional feature is that the engineer's confidence in the measurement frequencies is quantified and incorporated into the identification procedure.A numerical example demonstrates the efficiency of the method.
•  [1] Benjamin J R,Cornell C A.Probability Statistics Decision for Civil Engineers[M].New York:McGraw-Hill,1970. [2] Collins J D,Hart G C,Hasselman T K,et al.Statistical identification of structures[J].AIAA J,1974,12(2):185～190. [3] Zacks S.Parametric Statistical Inference[M].Oxford:Pergamon Press Ltd,1981. [4] Friedland S,Nocedal J,Overton M L.The formulation and analysis numerical methods for inverse eigenvalue problems[J].SIAM J Number Anal,1987,24(3):634～667. [5] Ojalvo I U.Efficient computation of mode shape derivatives for large dynamic systems[J].AIAA J,1987,25(10):1384～1390. [6] Dennis J E.Numerical Methods for Unconstrained Optimization and Nonlinear Equations[M].Englewood Cliffs NJ:Prentice-Hall,1983. [7] Sun Jiguang.A note on local behavior of multiple eigenvalue[J].SIAM J Matrix Anal Appl,1989,10(4):533～541. [8] 黄克中,毛善培.随机方法与模糊数学应用[M].上海:同济大学出版社,1987.

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沈阳化工大学材料科学与工程学院 沈阳 110142

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