索-梁组合结构主共振响应的时滞反馈控制  

Primary resonance of cable-stayed beam with time-delayed feedback control

作　　者：彭剑[1] 李禄欣 向明姣 赵跃宇[2] 

机构地区：[1]湖南科技大学土木工程学院,湘潭411201 [2]湖南大学土木工程学院,长沙410082

出　　处：《计算力学学报》2017年第5期638-643,共6页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(11402085);国家重点基础研究发展计划(973计划;2015CB057702);湖南省自然科学基金(2017JJ3086);湖南省研究生科研创新项目(CX2016B544)资助项目

摘　　要：基于时滞加速度反馈控制策略对索-梁组合结构进行振动控制。根据Hamilton原理推导了索-梁组合结构非线性振动控制方程,运用多尺度法得到时滞反馈作用下索-梁组合结构主共振的一阶近似解,得出系统响应与控制参数的关系以及响应峰值和临界激励值与时滞参数的表达式。结果表明,主共振的响应存在多解和跳跃现象,调节控制增益和时滞值,可以有效抑制大幅振动。The vibration control of a cable-stayed beam is carried out by using the method of the timedelayed acceleration feedback control.A nonlinear control model of cable-stayed beam can be established according to Hamilton＇s principle.Using the method of multiple scales,the first-order approximate response of the primary resonance of cable-stayed beam with time-delayed feedback is obtained.Then the relationship between the system response and the control parameters is obtained.Moreover,the response peak and the critical excitation amplitude are obtained.The results show that there exist,multiple solutions and jumping phenomena occur in the primary resonance response,and the large-amplitude vibration can be effectively suppressed by regulating control gain and time delay.

关 键 词：时滞反馈 主共振 索-梁结构 振动控制 

分 类 号：U443.38[建筑科学—桥梁与隧道工程] O321[交通运输工程—道路与铁道工程]