含多间隙弹性约束机械振动系统的动力学特性  

Nonlinear Dynamic Analysis of Mechanical VibrationSystem with Multiple Elastic Constraints

作　　者：尹凤伟 马琳[1] 马娟娟 YIN Feng-wei;MA Lin;MA Juan-juan(School of Mechatronic Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学机电工程学院,兰州730070

出　　处：《兰州交通大学学报》2021年第3期63-69,共7页Journal of Lanzhou Jiaotong University

摘　　要：建立含多重间隙弹性约束机械振动系统的力学模型.基于多参数耦合、多目标协同仿真分析,采用变步长Runge-Kutta法数值计算,研究系统在激励频率和间隙阈值的双参数平面内的周期冲击振动模式类型、分布规律和分岔特征.计算结果表明,基准参数条件下系统周期冲击振动的模式类型表现为复杂性和多样性特征.分析了系统相邻基本周期冲击振动的q/1周期振动经两种类型的Grazing分岔转迁为(q+1)/1周期振动的演化机理.揭示了间隙阈值取值较小时,系统表现为亚谐周期振动和混沌等复杂的动力学特性;且随激励频率的递减,系统因冲击次数足够大进而呈现出颤-冲击特性.研究该类振动系统激励频率和间隙阈值等关键参数与系统功能目标之间的映射关系,为系统动力学特性和功能目标协同优化的参数匹配规律及科学匹配范围提供依据和思路.A mechanical model of mechanical system with multiple elastic constraints was established.Based on multi-parameter coupling and multi-objective collaborative simulation analysis,the variable step Runge-Kutta was used for numerical calculation.The vibration mode types,existing regions and bifurcation characteristics of the periodic impact vibration system in the two-dimensional parametric plane of excitation frequency and clearance threshold are studied.The numerical results reveal that the mode types of periodic impact vibration of the system show complexity and diversity.The evolution mechanism of q/1 periodic vibration of adjacent fundamental periodic impact vibration is analyzed by two kinds of Grazing bifurcation to(q+1)/1 periodic vibration.It is revealed that when the clearance threshold value is small,the system exhibits complex dynamic characteristics such as subharmonic impact vibration and chaos,and with the decrease of excitation frequency,the system presents chattering impact due to sufficient number of impacts.This paper studies the mapping relationship between the key parameters such as the excitation frequency and clearance threshold and the functional objectives of the vibration system,which provides the basis and ideas for the matching rule of parameters and the scientific matching range of the system dynamic characteristics and the collaborative optimization of the functional objectives.

关 键 词：多间隙 冲击振动 分岔 数值计算 动力学特性 

分 类 号：O322[理学—一般力学与力学基础] TH113.1[理学—力学]