Design and Analysis of a Horizontal Quasi-Zero Stiffness Vibration Isolator by Combining Rolling-Ball and Disk Springs in Parallel |
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| Authors: | Gaofeng Guan Dengfeng Xu Yu Zhu Qiang Li and Qiang Yu |
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| Affiliation: | 1. School of Mechatronics Engineering, University of Electronic Science and Technology of China,Chengdu 611731, China;2. State Key Lab of Tribology, Tsinghua University, Beijing 100084, China;Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China;Beijing Key Lab of Precision/Ultra-precision Manufacturing Equipment and Control, Tsinghua University,Beijing 100084, China;3. School of Mechatronics Engineering, University of Electronic Science and Technology of China,Chengdu 611731, China;State Key Lab of Tribology, Tsinghua University, Beijing 100084, China;Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China;Beijing Key Lab of Precision/Ultra-precision Manufacturing Equipment and Control, Tsinghua University,Beijing 100084, China;4. School of Information Engineering, Wuchang University of Technology, Wuhan 430223, China |
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| Abstract: | Combining disk springs having negative stiffness with a rolling-ball in parallel is proposed in this paper. It is used to reduce the system stiffness and the positioning error in a non-ideal environment. The characteristics of a disk spring are analyzed. The dynamic equation of its motion has been obtained based on Newton''s second law. After definition of a error margin, the dynamic equation of the motion can be treated as a Duffing oscillator, and the influences of non-dimensional parameters on the stiffness and transmissibility are studied. The natural frequency and transmissibility are achieved in a linearization range, where the ratio of linear to nonlinear items is small enough. The influence of mass ratio and non-dimensional parameters on natural frequency are analyzed. Finally, a comparison of numerical example demonstrates that the QZS system can realize a lower stiffness within an increased range. |
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| Keywords: | quasi-zero stiffness (QZS) vibration isolation natural frequency transmissibility |
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