摘要
利用区间理论并结合求解不确定非线性结构动力学响应的泰勒方法的二阶展开,推导出求解由滞回环本身的不确定性引起的、单自由度不确定滞回系统响应的有效数值方法,得到了系统响应的上下界.并与概率分析方法求得的系统响应进行比较分析,其计算结果与概率方法结果基本相吻合.当求解由滞回环本身的不确定性引起的非线性振动系统的不确定响应问题,而滞回环本身的不确定性统计信息较少概率方法无法适用时,利用本文所推导的区间方法可为工程实际提供参考.
Combining the interval theory with the second order expansion of Taylor method for solving uncertain non-linear structure dynamics,we derived an effective numerical method to solve Uncertain Single-Degree-of-Freedom Hysteretic System, whose uncertainty was caused by the stochastic hysteretic loop itself, and obtained the Upper boundary and the lower boundary of the response. The result of the proposed method was close to that obtained by probabilistic approach. When the uncertainty of non-linear vibration systems is caused by the stochastic hysteretic loop itself, and the uncertain statistics information of the stochastic hysteretic loop itself is so little that the probabilistic approach is unsuitable, the proposed method can still provide reference for the engineering.
出处
《动力学与控制学报》
2007年第2期173-177,共5页
Journal of Dynamics and Control
关键词
不确定非线性系统
不确定滞回系统
非线性不确定振动
区间分析
uncertain non-linear systems, uncertain stochastic hysteretic system, uncertain non-linear vibration. interval analysis
