A nonlinear ultra-low-frequency vibration isolator with dual quasi-zero-stiffness mechanism
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ORIGINAL PAPER
A nonlinear ultra-low-frequency vibration isolator with dual quasi-zero-stiffness mechanism Kai Wang . Jiaxi Zhou . Yaopeng Chang . Huajiang Ouyang . Daolin Xu . Yang Yang
Received: 19 October 2019 / Accepted: 4 July 2020 Ó Springer Nature B.V. 2020
Abstract A quasi-zero-stiffness (QZS) vibration isolator is an ideal device for low-frequency vibration isolation. However, its stiffness increases steeply against the displacement, which renders a QZS isolator to be less effective in an ultra-low-frequency range. Aiming at solving this issue, a new nonlinear ultra-low-frequency vibration isolator with a dual quasi-zero-stiffness (DQZS) mechanism is put forward by combining two subordinate QZS mechanisms with a vertical linear spring in parallel. The subordinate mechanism itself has a QZS feature, which provides negative stiffness along the vertical direction through an oblique link rod. The parameter design of the isolator is carried out to fulfil quasi-zero stiffness, which shows that the stiffness–displacement curve is K. Wang J. Zhou Y. Chang D. Xu State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, People’s Republic of China K. Wang J. Zhou (&) Y. Chang D. Xu College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, People’s Republic of China e-mail: [email protected] H. Ouyang School of Engineering, University of Liverpool, Liverpool L69 3GH, UK Y. Yang School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, People’s Republic of China
much lower and more flat than the traditional QZS (TQZS) isolator in a wide displacement range. The dynamic behaviours of the DQZS vibration isolation system (VIS) are determined by employing the harmonic balance method, and the vibration isolation performance is evaluated by using theoretical, numerical and experimental transmissibility. It shows that both the beginning frequency of the vibration isolation and the peak transmissibility of the DQZS VIS are lower than the TQZS isolator, which indicates better vibration isolation performance of this ultra-lowstiffness DQZS VIS. Keywords Dual quasi-zero stiffness Vibration isolation Negative stiffness Force transmissibility
1 Introduction Vibration control is important for structure security [1–4], machining precision [5] and human health [6]. For a long time, low-frequency vibration isolation has being a big challenge, because it is difficult to design a linear isolator having low stiffness and possessing heavy weight supporting capability at the same time [7]. Fortunately, the negative stiffness mechanism (NSM) was devised to substantially neutralize the stiffness of the linear isolator and it does not degrade its supporting capability. This is an ideal high-staticlow-dynamic-stiffness feature [8, 9], which enables
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low-frequency vibration isolation in a purely passive manner. In the previous works, the NSM was construc
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