噪声与振动控制2018，Vol.38Issue(3)：137-140,171,5.DOI:10.3969/j.issn.1006-1355.2018.03.026
时滞加速度反馈控制下悬索的主共振分析
Primary Resonance Analysis of Suspended Cables under Time-delay Acceleration Feedback Control
摘要
Abstract
The nonlinear response of the suspended cables under the control of the longitudinal time-delay acceleration feedback is studied. Based on Hamilton principle and neglecting the influence of bending, torsion and shear stiffness, the in-plane nonlinear kinematic equation of the suspended cables is obtained. The time-delay differential equation is derived by Galerkin method. The multi-scale method is employed to obtain the first-order symmetric mode approximate expressions of the primary resonance of the suspended cables with time-delay feedback. The relationship between the response of the system and the control parameters and the influence of the time-delay on the cable force are analyzed through numerical examples. It is shown that there exist multiple solutions and jumps in the primary resonance response, and the primary resonance response varies periodically with the increasing of time-delay value. Reasonable selection of control gain and time-delay value can effectively restrain the large-amplitude vibration so as to achieve a good control effect.关键词
振动与波/时滞反馈/振动控制/悬索/主共振Key words
vibration and wave/time-delay feedback/vibration control/suspended cables/primary resonance分类
数理科学引用本文复制引用
李禄欣,彭剑,向明姣,谢献忠..时滞加速度反馈控制下悬索的主共振分析[J].噪声与振动控制,2018,38(3):137-140,171,5.基金项目
国家重点基础研究发展规划(973计划)资助项目(2015CB057702) （973计划）
国家自然科学基金资助项目(11402085,11272119) （11402085,11272119）
湖南省自然科学基金资助项目(2017JJ3086) （2017JJ3086）
湖南省优秀博士论文资助项目(YB2015B035) （YB2015B035）
湖南省研究生科研创新资助项目(CX2016B544) （CX2016B544）
重庆市教委科学技术研究项目(KJ1600528) （KJ1600528）
