噪声与振动控制2025，Vol.45Issue(4)：14-20,58,8.DOI:10.3969/j.issn.1006-1355.2025.04.003
分段光滑碰撞振动系统中颤振发生的间隙区间研究
Interstitial Interval of the Chatter in a Piecewise Smooth Vibro-impact System
摘要
Abstract
Chattering of a single-DOF piecewise smooth system with clearance and preload is studied.The periodic motion of the system and the bifurcations are depicted by numerical simulation with the interstitial as the main parameter.By establishing discontinuous mapping,the viscous motion of the system is analyzed,the completion point and conditions of the flutter are derived,and the flutter motion characteristics of the system are revealed.Through the numerical simulation,the in-terval of clearance in which system undergoes chattering with different conditions of stiffness ratio and frequency is ob-tained.In addition,the transmission law of the periodic motion is analyzed,and the phenomenon that the continuous impact number alters with the change of the parameters is revealed.The results indicate that significant chattering phenomena occur when the clearance b is less than 0.95 and the excitation frequency ω∈(0.03).When the stiffness ratio is less than 60 and the excitation frequency is less than 0.3,the gap interval of flutter will expand with the increase of the stiffness ratio.With the in-crease of frequency,the flutter interval decreases.关键词
振动与波/含间隙和预紧系统/间隙区间/擦边滑移分岔/黏滞现象/颤振Key words
vibration and wave/nterstitial and preload system/interstitial interval/grazing-sliding bifurcation/sticking phenomenon/chattering分类
数理科学引用本文复制引用
马国峰,张惠,李险峰,梁以德,张柏林..分段光滑碰撞振动系统中颤振发生的间隙区间研究[J].噪声与振动控制,2025,45(4):14-20,58,8.基金项目
国家自然科学基金资助项目(11962011) （11962011）
甘肃省科技厅科研资助项目(22JR5RA348,20JR10RA223) （22JR5RA348,20JR10RA223）
