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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

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【作者】 李大望霍达胡灿阳

【Author】 LI Da-wang1 , HUO Da2 , HU Can-yang1 (1. College of Civil Engineering, Zhengzhou University, Zhengzhou 450002; 2. College of Architecture and Civil Engineering, Beijing Polytechnic University, Beijing 100022)

【机构】 郑州大学土木工程学院北京工业大学建工学院郑州大学土木工程学院 河南郑州450002北京100022河南郑州450002

【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.

【基金】 河南省杰出青年科学基金资助项目(0212001600);国家自然科学基金(59878006)资助项目
  • 【文献出处】 工程力学 ,Engineering Mechanics , 编辑部邮箱 ,2003年01期
  • 【分类号】TU352
  • 【被引频次】3
  • 【下载频次】67
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