摘要
采用非线性Zener模型表征橡胶隔振系统的力学特性,利用谐波平衡法求得系统响应的近似解析解,通过数值方法及UM软件仿真验证了近似解析解的正确性,给出了一种基于模型近似解析解计算橡胶隔振系统无量纲动刚度与滞后角的方法,分析了参数对系统多不变集共存区间及迟滞特性的影响规律.结果表明:系统多不变集共存区间随刚度比μ_(k)的增加而右移,随阻尼系数ξ的减小及刚度非线性系数k_(nl)和激励幅值p的增大而快速向右延伸;随着激励频率ω的增加,系统无量纲动刚度k_(d)先增大后趋于稳定;系统刚度比μ_(k)、刚度非线性系数k_(nl)、振动幅值A的增加会使系统无量纲动刚度k_(d)增大,同时使系统滞后角η减小;系统阻尼系数ξ的增加会增大系统无量纲动刚度k_(d)随激励频率变化的曲线斜率,并使滞后角曲线左移.
By using nonlinear Zener model to characterize the mechanical properties of rubber vibration isolation system,the approximate analytical solution of the system response is obtained by harmonic balance method.The correctness of the approximate analytical solution is verified by numerical method and UM software simulation.A method for calculating the dimensionless dynamic stiffness and lag angle of the rubber vibration isolation system based on the approximate analytical solution of the model is proposed.The influence of parameters on the coexistence interval and hysteresis characteristics of multiple invariant sets of the system is analyzed.The results show that the coexistence interval of multiple invariant sets of the system shifts to the right with the increase of stiffness ratio μ_(k),and extends sharply to the right with the decrease of damping ratio ξ and the increase of stiffness nonlinear coefficient k_(nl) and excitation amplitude p.With the increase of excitation frequency ω,the dimensionless dynamic stiffness of the system k_(d) increases first and then tends to be stable.The increase of stiffness ratioμ_(k),stiffness nonlinear coefficient k_(nl) and vibration amplitude A will increase the dimensionless dynamic stiffness of the system k _(d),and reduce the lag angle of the systemη.The increase of damping ratio ξ will increase the slope of the curve of the dimensionless dynamic stiffness of the system k_(d) with the excitation frequency,and make the lag angle curve shift to the left.
作者
俞力洋
李国芳
吴少培
黄然
丁旺才
YU Li-yang;LI Guo-fang;WU Shao-pei;HUANG Ran;DING Wang-cai(School of Mechanical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)
出处
《兰州交通大学学报》
CAS
2022年第1期90-97,共8页
Journal of Lanzhou Jiaotong University
基金
国家自然科学基金(11962013,11732014,12162020)
甘肃省优秀研究生创新之星项目(2021CXZX-543)
甘肃省教育厅高校大学生就业创业能力提升工程项目(2021)
甘肃省青年科技基金资助项目(21JR7RA328,21JR7RA335)。
关键词
Zener模型
橡胶隔振系统
迟滞特性
无量纲动刚度
滞后角
Zener model
rubber vibration isolation system
hysteresis characteristics
dimensionless dynamic stiffness
lag angle
作者简介
第一作者:俞力洋(1994-),男,甘肃古浪人,博士研究生,主要研究方向为非线性动力学.E-mail:yuly1101@163.com;通信作者:丁旺才(1964-),男,甘肃天水人,教授,博士生导师,主要研究方向为车辆工程与非线性动力学.E-mail:dingdd@163.com.
