| 摘要: |
| 在确定性非线性系统等效线性化方法的基础上，提出了分析含有随机参数的非线性结构动态响应的等效随机系统法。考虑了最一般的多自由度系统，以刚度随机为例推导了等效随机系统法的公式，并给出等效随机系统法的算法。以非线性单自由度系统为算例进行计算，结果表明，等效随机系统法得到的解与Monte—Carlo模拟解几乎完全吻合。本方法精度较高，且与Monte—Carlo法相比计算时间大大缩短。 |
| 关键词: 非线性随机结构 动态响应 等效随机系统法 随机参数 多自由度系统 非线性单自由度系统 |
| DOI：10.11841/j.issn.1007-4333.2004.01.017 |
| 修订日期：2003-05-02 |
| 基金项目:上海高校选拔培养优秀青年教师后备人选科研专项基金资助项目 |
|
| A equivalent random system method for analyzing response of nonlinear structures with uncertain physical parameters |
|
|
|
| Abstract: |
| There are many research papers about mathematic theory of stochastic course and stochastic differential equation, but no a whole theory can be used to analyse nonlinear system. On the base of equivalent linearization method about certain nonlinear system, a equivalent random systems method was developed and used in analyzing the dynamic response of nonlinear random structures. Considering the multi-degree of freedom system, the formula of equivalent random systems method was expounded. The nonlinear mono-degree of freedom system was taken for example. The numerical results showed that the responses of the proposed approach were much close to the Monte-Carlo solutions, and the time used in computing was much less than the Monte-Carlo mothed. |
| Key words: nonlinear random structures,equivalent random systems method,dynamic response |
