Chaotic characteristics for a class of hydro-pneumatic near-zero frequency vibration isolators under dry friction and noise excitation  

作　　者：Zhouchao WEI Yuxi LI T.KAPITANIAK Wei ZHANG 

机构地区：[1]School of Mathematics and Physics,China University of Geosciences,Wuhan,430074,China [2]Institute for Advanced Marine Research,China University of Geosciences,Guangzhou,511462,China [3]Shenzhen Research Institute,China University of Geosciences,Shenzhen,Guangdong Province,518000,China [4]Division of Dynamics,Lodz University of Technology,Lodz,90-924,Poland [5]School of Civil Engineering and Architecture,Guangxi University,Nanning,530004,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2025年第4期647-662,共16页应用数学和力学(英文版)

基　　金：Project supported by the National Natural Science Foundation of China(Nos.12172340 and12411530068);the Shenzhen Science and Technology Program(No.JCYJ20240813114012016);the High-Level Talent Introduction Plan of Guangzhou City;the Fundamental Research Funds for the Central Universities-China University of Geosciences(Wuhan)(No.G1323524005);the Young Top-Notch Talent Cultivation Program of Hubei Province。

摘　　要：Hydro-pneumatic near-zero frequency(NZF)vibration isolators have better performance at isolating vibration with low frequencies and heavy loadings when the nonlinear fluidic damping is introduced and the pressurized gas pressure is properly adjusted.The nonlinear characteristics of such devices make their corresponding dynamic research involve chaotic dynamics.Chaos may bring negative influence and disorder to the structure and low-frequency working efficiency of isolators,which makes it necessary to clarify and control the threshold ranges for chaos generation in advance.In this work,the chaotic characteristics for a class of hydro-pneumatic NZF vibration isolators under dry friction,harmonic,and environmental noise excitations are analyzed by the analytical and numerical methods.The parameter ranges for the generation of chaos are obtained by the classical and random Melnikov methods.The chaotic characteristics and thresholds of the parameters in the systems with or without noise excitation are discussed and described.The analytical solutions and the influence of noise and harmonic excitation about chaos are tested and further analyzed through many numerical simulations.The results show that chaos in the system can be induced or inhibited with the adjustment of the magnitudes of harmonic excitation and noise intensity.

关 键 词：CHAOS vibration isolator Melnikov method noise excitation 

分 类 号：O175[理学—数学] O32[理学—基础数学]