Reliability evaluation and control for wideband noise-excited viscoelastic systems

被引：8

作者：

Wang, S. L. ^{[1
]}

Jin, X. L. ^{[1
]}

Wang, Y. ^{[1
]}

Huang, Z. L. ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Engn Mech, Hangzhou 310027, Zhejiang, Peoples R China

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2014年 / 62卷

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

Viscoelastic system; Reliability; Quasi-optimal bounded control; Stochastic averaging; Stochastic dynamic programming principle; MECHANICAL MODELS; STABILITY; OSCILLATORS;

D O I：

10.1016/j.mechrescom.2014.08.010

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Reliability of first-passage type for wideband noise-excited viscoelastic systems and the quasi-optimal bounded control strategy for maximizing system reliability are investigated. The viscoelastic term is approximately replaced by equivalent damping and stiffness separately. By using the stochastic averaging method based on the generalized harmonic functions, the averaged Ito stochastic differential equation is obtained for the system amplitude. The associated backward Kolmogorov equation is derived and solved to obtain the system reliability. By applying the dynamic programming principle to the averaged system, the quasi-optimal bounded control is devised by maximizing system reliability. The application of the proposed analytical procedures and the effectiveness of the control strategy are illustrated through one example. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：57 / 65

页数：9

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