串联倒摆的空气弹簧隔振器水平动力学分析  

Dynamics analysis on the horizontal isolation effect of an air spring vibration isolator in series with an inverted pendulum

作　　者：喻强 徐登峰[2] 朱煜 管高峰[1] 李强 YU Qiang;XU Dengfeng;ZHU Yu;GUAN Gaofeng;LI Qiang(School of Mechanical and Electrical Engineering,University of Electronic Science and Technology of China,Chengdu 611731,China;Department of Mechanical Engineering,Tsinghua University,Beijing 100084,China;School of Information Engineering,Wuchang University of Technology,Wuhan 430223,China)

机构地区：[1]电子科技大学机械与电气工程学院,成都611731 [2]清华大学机械工程系,北京100084 [3]武昌理工学院信息工程学院,武汉430223

出　　处：《振动与冲击》2019年第14期176-180,共5页Journal of Vibration and Shock

基　　金：国家科技重大专项(2013ZX02104003);中国机械工业集团有限公司重大科技专项(SINOMAST-ZDZX-2017-05);湖北省自然科学基金(2018CFC889)

摘　　要：串联倒摆的空气弹簧隔振器垂直和水平方向同时实现了低刚度,具有较好的应用前景。以该隔振器为研究对象,考虑以往研究中经常忽略的空气弹簧的影响,通过求解空气弹簧内部压缩空气的压强和水平恢复力的大小,获得了空气弹簧的水平刚度。将空气弹簧等效为一个水平弹簧,再与倒摆串联连接,通过动力学分析建立倒摆转动的运动微分方程,得到了水平方向固有频率表达式,并通过相关实验初步验证了该表达式的计算结果与实验测试结果误差较小。仿真分析表明空气弹簧上活塞半径和负载总质量是影响水平方向固有频率的主要因素。An air spring vibration isolator in series with an inverted pendulum has a good perspective in engineering application,because the stiffnesses in the vertical and horizontal direction can reach very low at the same time.The influence of the airbag horizontal flexibility on the stiffness of the air spring in horizontal direction,which was ignored in previous studies,was investigated by calculating the pressure of compressed air in the airbag and the restoring force of the air spring.The air spring was equivalent to a horizontal spring and then this spring was connected in series with the inverted pendulum.The differential equation of motion of the inverted pendulum was established and the inherent frequency in the horizontal direction of the integrated air spring vibration isolator was obtained.Experimental results validate that the error between the calculated result and the measured one is rather small.In the end,the simulation results show that the radius of the upper piston of the air spring and the mass of the load mainly affect the inherent frequency.

关 键 词：倒摆 空气弹簧 水平方向 动力学分析 固有频率 

分 类 号：TB535.1[理学—物理]