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个人信息Personal Information
教授
博士生导师
硕士生导师
任职 : 工业装备结构分析优化与CAE软件全国重点实验室主任、结构优化理论与应用国际联合研究中心主任
性别：男
毕业院校：大连理工大学
学位：博士
所在单位：力学与航空航天学院
学科：工程力学. 计算力学. 结构工程. 车辆工程
办公地点：力学楼302
联系方式：0411-84707267 ligang@dlut.edu.cn
电子邮箱：ligang@dlut.edu.cn
Stationary response of bilinear hysteretic system driven by Poisson white noise
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论文类型：期刊论文
发表时间：2013-07-01
发表刊物：PROBABILISTIC ENGINEERING MECHANICS
收录刊物：SCIE、EI
卷号：33
页面范围：135-143
ISSN号：0266-8920
关键字：Stationary response; Bilinear hysteretic system; Poisson white noise; Stochastic averaging of energy envelope; Modified exponential polynomial closure method
摘要：Stationary response of single-degree-of-freedom (SDOF) bilinear hysteretic system driven by Poisson white noise is investigated via stochastic averaging of energy envelope in this paper. The averaged generalized Fokker-Planck-Kolmogorov (GFPK) equation for SDOF bilinear hysteretic system driven by Poisson white noise is derived and the approximate stationary solutions of the averaged GFPK equation are obtain by using a modified exponential polynomial closure method. The effectiveness and accuracy of the approximate solution are assessed by performing appropriate Monte Carlo simulations. It is found that analytical and numerical results agree well and the effect of non-Gaussianity of the excitation process on stationary probability densities of total energy and displacement of bilinear hysteretic system is predicted successfully via stochastic averaging of energy envelope. (c) 2013 Elsevier Ltd. All rights reserved.