李大望, 霍达, 胡灿阳. 渐硬恢复力滑移体系稳态随机响应的解析预测[J]. 工程力学, 2003, 20(1): 72-75.
引用本文: 李大望, 霍达, 胡灿阳. 渐硬恢复力滑移体系稳态随机响应的解析预测[J]. 工程力学, 2003, 20(1): 72-75.
LI Da-wang, HUO Da, HU Can-yang. ANALYTIC PREDICTION FOR THE STEADY-STATE RANDOM RESPONSES OF SLIDING SYSTEMS WITH HARDENING RESTORING FORCE[J]. Engineering Mechanics, 2003, 20(1): 72-75.
Citation: LI Da-wang, HUO Da, HU Can-yang. ANALYTIC PREDICTION FOR THE STEADY-STATE RANDOM RESPONSES OF SLIDING SYSTEMS WITH HARDENING RESTORING FORCE[J]. Engineering Mechanics, 2003, 20(1): 72-75.

渐硬恢复力滑移体系稳态随机响应的解析预测

ANALYTIC PREDICTION FOR THE STEADY-STATE RANDOM RESPONSES OF SLIDING SYSTEMS WITH HARDENING RESTORING FORCE

  • 摘要: 研究了渐硬恢复力刚性滑移结构在水平和竖向高斯白噪声地面作用下稳态响应的概率分布问题.以等效线性恢复力刚性滑移结构代替原系统并利用等效非线性系统法推得了替代系统稳态响应的联合概率密度函数解析解;最后通过蒙特卡洛模拟结果说明了本文所提方法的适用性.

     

    Abstract: The probability distribution problem of the steady-state responses to horizontal and vertical Gaussian white noises of rigid sliding structures with hardening restoring force is studied in this paper. The original system is substituted by the one with equivalent linear restoring force, and the analytic solution of the joint probability density of the steady-state responses of the equivalent system is derived by means of the equivalent nonlinear system method. The applicability of the present method in the paper is exemplified by the results of Monte Carlo simulation.

     

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