| 苏成,范学明.随机结构动力特性分析格林函数法[J].计算力学学报,2009,26(3):294~300 |
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| 随机结构动力特性分析格林函数法 |
| Dynamic eigenvalue analysis of stochastic structures by the Green’s method |
| 投稿时间：2008-08-28 |
| DOI：10.7511/jslx20093002 |
| 中文关键词: 随机结构 随机振动 动力特性 格林函数法 |
| 英文关键词:stochastic structures random vibration dynamic eigenvalues Green’s method |
| 基金项目:国家科技支撑计划子课题(2006BAJ01B07);华南理工大学亚热带建筑科学国家重点实验室资助课题(20082CZ1)资助项目. |
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| 中文摘要: |
| 在考虑材料参数和几何参数小变异情况下,采用一阶近似方法将随机杆件动力特性分析的控制微分方程分解为关于动力特性均量和偏量的两组控制微分方程,然后利用这两组方程在形式上与静力问题控制微分方程的相似性,采用静力问题基本解以及域外布设虚荷载方法和多域耦合技术,提出了随机结构动力特性分析格林函数法。从数值算例可以看出,在小变异情况下,本文方法的结果与Monte-Carlo法的结果相当吻合,计算精度较高;在计算效率方面,本文方法的计算量远少于摄动随机有限元法的计算量。 |
| 英文摘要: |
| In consideration of small variations of material and geometry parameters, the governing differential equations of dynamic eigenvalue problems for stochastic beams are decomposed by the first approximation method into two sets of governing differential equations corresponding to means and deviations of dynamic characteristics, respectively. Based on the similarity between the equations derived and those corresponding to static problems, the Green’s method for dynamic eigenvalue analysis of stochastic structures is proposed in this study by the use of static fundamental solutions, together with the application of ficititious loads outside domains and the multi-domain techniques. Numerical examples show the results of the proposed method agree well with those of the Monte-Carlo method under the circumstance of small variations, while the computation cost of the present method is much less than that of the perturbation stochastic finite element method. |
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