噪声与振动控制2025，Vol.45Issue(6)：12-18,7.DOI:10.3969/j.issn.1006-1355.2025.06.003
准零刚度隔振系统微振动传递特性及转迁规律研究
Transition Law and Transfer Characteristics of Micro-vibration of Quasi-zero Stiffness Vibration Isolation Systems
摘要
Abstract
The isolator system with high-static and low-dynamic characteristics has strong nonlinear characteristics.The relationship between the dynamic excitation parameters of micro-vibration and the nonlinear dynamic characteristics of the system and the vibration isolation performance was studied to broaden the vibration isolation frequency band and improve the engineering application range.Taking the classical three-spring quasi-zero stiffness system as the research object,the dynamic equations of the system were established and solved according to the forces of the series and parallel springs,and the quasi-zero stiffness parameter conditions of the system were given.The numerical simulation and parameter continuation algorithm were used to characterize the single and double parameter periodic motion distribution and force transfer characteristics of the system,and the vibration isolation characteristics and dynamic transition law of the quasi-zero stiffness system were revealed.The results show that there are jumps of vibration amplitude and force transmission rate for the system due to a pair of saddle-node bifurcations in the basic periodic band(1-1-1),and the force transmission rate of a pair of anti-symmetric periodic motion continuously increases due to the fork bifurcation.The basic periodic motion completes the mutual transition under the induction of fork bifurcation,saddle-node bifurcation,doubling bifurcation and boundary mutation.With the increase of the number of basic cycles,the system exhibits bursting oscillation in the ultra-low frequency region.关键词
振动与波/非线性隔振器/准零刚度/力传递率/分岔/簇发振荡Key words
vibration and wave/nonlinear vibration isolator/quasi-zero stiffness/force transmission rate/bifurcation/bursting oscillation分类
通用工业技术引用本文复制引用
吴少培,白博,刘涛,李国芳,李得洋,丁旺才..准零刚度隔振系统微振动传递特性及转迁规律研究[J].噪声与振动控制,2025,45(6):12-18,7.基金项目
国家自然科学基金资助项目(12262017,12162020) （12262017,12162020）
甘肃省自然科学基金资助项目(21JR7RA328,23JRRA1697) （21JR7RA328,23JRRA1697）
兰州交通大学重点研发资助项目(ZDYF2302) （ZDYF2302）
兰州交通大学青年科学基金资助项目(2024037) （2024037）
