吊点激励作用下平面摆与锥摆运动摆角频率研究

摘要

When the frequency of the tuned rotary inertia damper (TRID) is consistent with the point source excitations,the control effect for the vibration of the planar pendulum is perfect and this is accordance with the vibration control principle of the tuned mass damper. But for the vibration of the cone pendulum under the point source excitation,even the frequency of the TRID consistent with the point source excitations,the expected control effect cannot be obtained. This study analyzes the characteristics of the cone pendulum vibration theoretically based on the vibration model and find out the substantial cause of the cone pendulum vibration. The distinction between the vibration of the planar pendulum and the cone pendulum is elaborated in the following. Based on all of above researches this study proposes the frequency relation of the pendulum angular between the planar pendulum and the cone pendulum. In the last, the effectiveness of the relation is proved through the numerical analysis.%分析调谐转动惯量阻尼器(Tuned Rotary Inertia Damper,TRID)[1-2]控制悬吊结构摆振时发现:对吊点激励作用下的平面摆摆振,当TRID控制器的频率与吊点激励调频一致时,能得到预期的控制效果,这与TMD(Tuned Mass Damper)的减振原理吻合；然而,对吊点激励作用下的锥摆摆振,当TRID控制器的频率与吊点激励调频一致时,实际控制效果与预期大相径庭.针对这个问题,该文由摆振运动模型人手,从理论上分析了锥摆摆振的运动特点,找到了引起锥摆摆振运动的根本原因；并将锥摆摆振与平面摆摆振的区别做了详细分析,在此基础上,预测了平面摆与锥摆摆角频率的关系；最后,利用数值方法验证了上述两种摆摆角频率关系的存在性.