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一种带有吸振器的非线性准零刚度隔振器的研究。

Research on a nonlinear quasi-zero stiffness vibration isolator with a vibration absorber.

作者信息

Li Shao-Hua, Liu Nan, Ding Hu

机构信息

State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang, China.

Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, China.

出版信息

Sci Prog. 2020 Jul-Sep;103(3):36850420940891. doi: 10.1177/0036850420940891.

DOI:10.1177/0036850420940891
PMID:32686995
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10451061/
Abstract

A negative stiffness mechanism consisting of a spring and cylinder is proposed, and a grounded dynamic vibration absorber is designed based on a quasi-zero stiffness vibration isolator to constitute the vibration isolator with a vibration absorber system. The range of parameters for attaining zero stiffness is derived from static analysis. The dynamic analysis of the vibration isolator with a vibration absorber system is carried out by a multiscale method, and the amplitude-frequency response equation of the system is obtained. The influence of different system parameters on the amplitude-frequency response is analyzed. The amplitude-frequency response of the quasi-zero stiffness vibration isolator is compared with that of the vibration isolator with a vibration absorber, and the linear and nonlinear analytical solutions of the vibration isolator with a vibration absorber system are also compared. The results show that the designed vibration isolator with a vibration absorber is an ideal choice for low-frequency vibration isolation, with no large resonance peak throughout the system and significantly improved reliability of the system.

摘要

提出了一种由弹簧和气缸组成的负刚度机构,并基于准零刚度隔振器设计了一种接地动态吸振器,以构成带有吸振器系统的隔振器。通过静态分析得出了实现零刚度的参数范围。采用多尺度方法对带有吸振器系统的隔振器进行了动态分析,得到了系统的幅频响应方程。分析了不同系统参数对幅频响应的影响。将准零刚度隔振器的幅频响应与带有吸振器的隔振器的幅频响应进行了比较,还比较了带有吸振器系统的隔振器的线性和非线性解析解。结果表明,所设计的带有吸振器的隔振器是低频隔振的理想选择,整个系统没有大的共振峰值,系统可靠性显著提高。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/77895776528c/10.1177_0036850420940891-fig13.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/0e088cb13305/10.1177_0036850420940891-fig1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/42c0b9dc914f/10.1177_0036850420940891-fig2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/c0752545dc73/10.1177_0036850420940891-fig3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/8201a6362740/10.1177_0036850420940891-fig4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/cd4205e401bd/10.1177_0036850420940891-fig5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/03830566f404/10.1177_0036850420940891-fig6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/27b6ba364c6a/10.1177_0036850420940891-fig7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/96a5e3dadb32/10.1177_0036850420940891-fig8.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/6e7874746621/10.1177_0036850420940891-fig9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/455a41a44b55/10.1177_0036850420940891-fig10.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/cd0ca5a5902c/10.1177_0036850420940891-fig11.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/7097923c557a/10.1177_0036850420940891-fig12.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/77895776528c/10.1177_0036850420940891-fig13.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/0e088cb13305/10.1177_0036850420940891-fig1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/42c0b9dc914f/10.1177_0036850420940891-fig2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/c0752545dc73/10.1177_0036850420940891-fig3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/8201a6362740/10.1177_0036850420940891-fig4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/cd4205e401bd/10.1177_0036850420940891-fig5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/03830566f404/10.1177_0036850420940891-fig6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/27b6ba364c6a/10.1177_0036850420940891-fig7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/96a5e3dadb32/10.1177_0036850420940891-fig8.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/6e7874746621/10.1177_0036850420940891-fig9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/455a41a44b55/10.1177_0036850420940891-fig10.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/cd0ca5a5902c/10.1177_0036850420940891-fig11.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/7097923c557a/10.1177_0036850420940891-fig12.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8aa1/10451061/77895776528c/10.1177_0036850420940891-fig13.jpg

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