Control and dynamics of a SDOF system with piecewise linear stiffness and combined external excitations

被引：4

作者：

Yurchenko, D. ^{[1
]}

Iwankiewicz, R. ^{[2
]}

Alevras, P. ^{[1
]}

机构：

[1] Heriot Watt Univ, Dept Mech Engn, Edinburgh EH14 4AS, Midlothian, Scotland

[2] TUHH, Inst Mech & Ocean Engn, D-21073 Hamburg, Germany

来源：

PROBABILISTIC ENGINEERING MECHANICS | 2014年 / 35卷

关键词：

Stochastic optimal control; Hamilton-Jacobi-Bellman equation; Fokker-Plank-Kolmogorov equation; Path integration method; Stochastic averaging; Piecewise linear; STRONGLY NONLINEAR OSCILLATORS; OPTIMAL BOUNDED CONTROL;

D O I：

10.1016/j.probengmech.2013.09.007

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The paper considers a problem of stochastic control and dynamics of a single-degree-of-freedom system with piecewise linear stiffness subjected to combined periodic and white noise external excitations. To minimize the system response energy a bounded in magnitude control force is applied to the systems. The stochastic optimal control problem is handled through the dynamic programming approach. Based on the solution to the Hamilton-Jacobi-Bellman equation it is proposed to use the dry friction control law in the non-resonant case. In the resonant case the stochastic averaging procedure has been used to derive stochastic differential equations for system response amplitude and phase. The joint PDF of response amplitude and phase is derived analytically and numerically using the Path Integration approach. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：118 / 124

页数：7

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