渐硬恢复力系统在窄带随机激励下的动力响应  

The Steady-state Dynamic Response of Sliding System with Hardening Restoring Force Undergoing the Narrow Band Stochastic Excitation

作　　者：赵更歧[1] 赵桂峰[1] 李大望[2] 

机构地区：[1]郑州大学土木工程学院,河南郑州450001 [2]深圳大学土木工程学院,广东深圳518060

出　　处：《郑州大学学报（工学版）》2010年第5期82-85,共4页Journal of Zhengzhou University（Engineering Science）

基　　金：国家自然科学基金项目(50478050)

摘　　要：通过蒙特卡洛模拟方法,研究了窄带随机激励作用下渐硬恢复力滑移系统稳态响应的统计特征,发现此类系统由于其本质的非线性,在窄带随机激励作用下将会出现振幅跳跃现象,稳态位移与速度响应之间存在较强的非线性相关性,系统参数的改变将对其振幅跳跃和响应的非线性相关程度有较大影响.s0和ε的增大将使出现跳跃的频率区间增大,而μ的增大则会使出现跳跃的频率区间减小,说明工程中利用滑动摩擦减小系统滑移是可行的.Using Monte Carlo simulation,the statistical characteristics of the steady-state response under the narrow band stochastic excitation of sliding system with hardening restoring force is investigated.The results show that its oscillation amplitude jumps under the narrow band stochastic exaction,and a strong non-linear correlation exists between the steady-state displacement response and the steady-state velocity response,the the change of the systernatic parameters can greatly affect the oscillation amplitude jumping phenomenon and the responses nonlinear correlation.

关 键 词：蒙特卡洛法 窄带随机激励 振幅 非线性相关性 滑动摩擦 

分 类 号：O324[理学—一般力学与力学基础] P135.9[理学—力学]