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具有多随机参数的结构随机振动响应的数字特征描述 被引量:2

Statistic Analysis of Random Vibration Response of Structure Including Many Random Parameters
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摘要 本文对随机振动中的随机结构问题进行了理论分析,给出了具有多随机参数结构的随机振动响应的一阶矩和二阶矩的数学表达式。从而解决了随机振动中具有多结构随机参数的问题。其过程很容易实现为计算机程序。 In this paper, random structure problem in the theory of random vibration is discussed. Sevearl solutions is obtained for the mean, variance and covariance of dynamic response of structure including many random parameters. Nonlinearities due to material and geometrical effects are also included. The results derived are easily amenable to computer procedures.
出处 《吉林工业大学学报》 CSCD 1990年第4期15-19,共5页
关键词 随机振动 随机结构 随机参数 结构 many random parameters, kranecker algebra, statistics
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  • 1张义民,林逸,刘巧伶.当联合概率密度未知时随机结构可靠性分析的随机有限元法[J].吉林工业大学学报,1993,23(4):9-14. 被引量:3
  • 2张义民 刘巧伶.多随机参数结构可靠性分析的随机有限元法[J].东北工学院学报,1992,13:97-99.
  • 3张义民.动态随机结构系统的可靠性分析[M].长春:吉林科学技术出版社,2000.15~22.
  • 4Ang A H-S, Tang W H. Probability Concepts in Engineering Planning and Design. New York: John Wiley & Sons, 1984.
  • 5Vanmarcke E, Shinozuka M, Nakagiri S, et al. Random fields and stochastic finite element methods. Structural Safety, 1986, 3:143-166.
  • 6Ibrahim R A. Structural dynamics with uncertainties. Applied Mechanics Review, 1987, 15(3): 309-328.
  • 7Benaroya H, Rebak M. Finite element methods in probabilistic structural analysis: a selective review. Applied Mechanics Review, 1988, 41:201-213.
  • 8Ma F. Extension of second moment analysis to vector-valued and matrix-valued functions. International Journal of Non-Linear Mechanics, 1987, 22:251-260.
  • 9Zhang Y M, Cen S H, Liu Q L, et al. Stochastic perturbation finite elements. Computers & Structures, 1996, 59(3): 425-429.
  • 10Zhang Y M, Wen B C, Cen S H. PFEM formalism in Kronecker notation. Mathematics and Mechanics of Solids, 1996, 1(4):445 - 461.

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