噪声与振动控制2012，Vol.32Issue(3)：21-24,4.DOI:10.3969/j.issn.1006-1355.2012.03.005
风激拉索张弛振荡的最优控制分析
Optimal Control Analysis of Self-excited Oscillation of an Inclined Taut Cable under Wind Loading
摘要
Abstract
The optimal control of self-excited oscillation of an inclined taut cable with multi-modes under wind loading is studied. The nonlinear equations of motion are derived for the cable with control and wind forces. The partial differential equation for transverse cable vibration is obtained and converted into ordinary differential equations by using the Galerkin method, that describe the self-excited oscillation of the multi-mode system. Then based on the dynamical programming principle, the HJB equation is established and the optimal nonlinear control force is determined. The analytical solutions of the controlled system in self-excited oscillation are obtained by using the averaging method. The analytical and numerical results show that the proposed control can effectively suppress the self-excited oscillation of the cable.关键词
振动与波/斜拉索/张弛振荡/最优控制/平均法Key words
vibration and wave / inclined taut cable/ self-excited oscillation / optimal control/ averaging method分类
数理科学引用本文复制引用
张巍,应祖光,王建文..风激拉索张弛振荡的最优控制分析[J].噪声与振动控制,2012,32(3):21-24,4.基金项目
国家自然科学基金项目(11072215) （11072215）
浙江省教育厅科研项目(Y200907048) （Y200907048）
