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一种以均方响应作为约束的动力学设计方法
A Dynamic Design Method under Constraints of Random RMS Response
【摘要】 本文提出一种将结构在随机激励下某些点(自由度)上的均方响应作为约束的动力学设计方法。文中分析了广义随机激励不相关与相关两种情况,并推导了各自情况下的任一给定点(自由度)上的均方响应对于设计变量的灵敏度计算公式。所导公式适用于宽带平稳随机激励。算例表明,所提方法是有效与可行的。
【Abstract】 This paper presents a dynamic design method in which the mean square responses for certain points (DOF s) on the structure under random excitation are regarded as constraints. Two conditions of correlated and uncorrelated generalized random excitation are analysed and accordingly, the sensitivities of MSR with respect to the design variables are also deducted. The formulae are applicable to stationary Gaussian random excitation. Computational simulation shows the feasibility and efficiency of the proposed method.
【关键词】 动力学设计;
均方响应;
平稳随机激励;
灵敏度;
【Key words】 dynamic design method; mean square response; stationary random excitation; sensitivities.;
【Key words】 dynamic design method; mean square response; stationary random excitation; sensitivities.;
【基金】 国家教委高校博士点资金
- 【文献出处】 应用力学学报 ,CHINESE JOURNAL OF APPLIED MECHANICS , 编辑部邮箱 ,1996年03期
- 【分类号】TH113
- 【被引频次】46
- 【下载频次】183