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林家浩,易平.线性随机结构的平稳随机响应[J].计算力学学报,2001,18(4):402~408
线性随机结构的平稳随机响应
Stationary random responses of structures with stochastic parameters
  修订日期:2000-01-03
DOI:10.7511/jslx20014081
中文关键词:  随机激励 虚拟激励 外载 耦合效应 模值模拟法 线性随机结构 平稳随机响应 离散性
英文关键词:random structure,stochastic excitation,pseudo excitation,perturbation
基金项目:国家自然科学基金 ( 1 0 0 72 0 1 5 ),国家重点基础研究专项经费( G1 9990 32 80 5 )资助项目
林家浩  易平
大连理工大学工程力学研究所 大连116023 (林家浩)
,大连理工大学工程力学研究所 大连116023(易平)
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中文摘要:
      对于不仅结构参数具有随机性,而且外载是平稳随机激励的问题,给出了随机响应变异系数的计算方法。应用虚拟激励法先将随机荷载转化为确定性的简谐荷载,使双随机问题得以精确地转化为单随机问题进行分析。求解过程显著简化,而且包含了二种随机因素之间的耦合效应。用数值模拟法对方法的精度作了估计。
英文摘要:
      For linear structures with uncertain parameters, the coefficients of variation of their stationary random responses are computed. The random excitations are first transformed into sinusoidal ones in terms of the pseudo excitation method (PEM), that turns the joint-random problem into a single random problem for which only structural parameters remain random, and thus the analysis is greatly simplified. A combination rule for coefficient of variation is derived in terms of which the combined coefficient of variation of the structure can be computed from the coefficient of variation of each random parameter provided the correlation matrix of these parameters is known. The method is efficient, and its precition has been justified by Monte-Carlo method. The coupling effect between two kinds of random factors has been involved.
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