摘要
研究了一类含刚性及弹性复合约束的两自由度受迫振动系统,基于双参数协同仿真的数值计算方法,在关键参数激振力频率和两质块间间隙值构成的参数平面上获得了系统周期运动的模式类型和存在区域;揭示了无冲击振动和相邻基本周期冲击振动之间、相邻基本周期运动之间的转迁规律;分析了弹性约束刚度变化对系统周期运动模式类型和存在区域的影响。结果表明:无冲击振动和相邻基本周期运动之间、相邻基本周期运动之间都存在两类主要的转迁区域,包括舌状域和迟滞域;舌状域中包含具有规律性的亚谐运动,这些亚谐运动和相邻的基本周期运动在舌状域边界线附近构成迟滞域群;增大弹性约束处的刚度值,会使得双参数平面中低频率域的概周期运动、混沌运动存在域显著增大,并分割周期运动存在域。
A type of two-degree-of-freedom forced vibro-impact system with rigid and elastic compound constraints was studied.Based on the numerical calculation method of two-parameter co-simulation,the mode types and existence regions of the periodic motions of the system were obtained on the parameter plane composed of the key parameters excitation force frequency and the gap value between two masses.The transition laws between impactless motion and adjacent fundamental period motion and between adjacent fundamental period motions were revealed.The effect of the change of the elastic constraint stiffness on the types of mode and the region of existence of the periodic motions of the system was analyzed.The results show that there are two main types of transition regions,including tongue-like regions and hysteresis regions,between impactless motion and adjacent fundamental period motion and between adjacent fundamental periodic motions.There are regular subharmonic motions in the tongue-like regions.These subharmonic motions and the adjacent fundamental period motions form a hysteresis region group near the boundary lines of the tongue-like regions.Increasing the stiffness value at the elastic constraint will significantly increase the existence regions of quasi-periodic motions and chaotic motions in the low frequency domain in the two-parameter plane,and divide the existence regions of periodic motions.
作者
王世俊
罗冠炜
WANG Shi-jun;LUO Guan-wei(School of Mechatronic Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China;Key Laboratory of System Dynamics and Reliability of Rail Transport Equipment of Gansu Province,Lanzhou 730070,China)
出处
《吉林大学学报（工学版）》
EI
CAS
CSCD
北大核心
2024年第4期902-916,共15页
Journal of Jilin University:Engineering and Technology Edition
基金
国家自然科学基金项目(12172157)
甘肃省科技计划项目(22JR5RA340,21YF5WA060)
兰州交通大学青年科学研究基金项目(2022049)。
关键词
机械设计
复合约束
碰撞振动
协同仿真
迟滞域群
分岔
mechanical design
compound constraints
vibro-impact
co-simulation
hysteresis region group
bifurcation
