Reliability of MDOF Nonlinear Systems with Fractional Derivative Damping Driven by Real Noise Excitation

摘要：

In this paper, the reliability of multi-degree-of-freedom (MDOF) nonlinear systems involving fractional derivative damping driven by a real noise excitation is investigated. First, the stochastic dynamical systems are reduced to the averaged It^o equations by using the stochastic averaging method based on the generalized harmonic function. Then, the backward Kolmogorov equation for calculating the conditional reliability function and the Pontryagin equation for calculating the conditional mean of ˉrst passage time are formulated and solved numerically together with suitable boundary conditions and initial condition, respectively. Finally, one example is given to illustrate the application of the proposed procedure and the analytical results are veriˉed by Monte Carlo simulation of original system.

关键词： Fractional derivative damping Stochastic averaging method Reliability Real noise excitation Multi-degree-of-freedom.

作者: Lincong Chen Qingqu Zhuang Weiqiu Zhu

作者单位: College of Civil Engineering, Huaqiao University, 361021, Xiamen,China School of Mathematical Sciences, Huaqiao University, 362021,Quanzhou, China Departments of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang Uni

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-8

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）