A bio-inspired spider-like structure isolator for low-frequency vibration

IF 4.5 2区 工程技术 Q1 MATHEMATICS, APPLIED Applied Mathematics and Mechanics-English Edition Pub Date : 2023-07-26 DOI:10.1007/s10483-023-3020-9
Guangdong Sui, Shuai Hou, Xiaofan Zhang, Xiaobiao Shan, Chengwei Hou, Henan Song, Weijie Hou, Jianming Li
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引用次数: 3

Abstract

This paper proposes a quasi-zero stiffness (QZS) isolator composed of a curved beam (as spider foot) and a linear spring (as spider muscle) inspired by the precise capturing ability of spiders in vibrating environments. The curved beam is simplified as an inclined horizontal spring, and a static analysis is carried out to explore the effects of different structural parameters on the stiffness performance of the QZS isolator. The finite element simulation analysis verifies that the QZS isolator can significantly reduce the first-order natural frequency under the load in the QZS region. The harmonic balance method (HBM) is used to explore the effects of the excitation amplitude, damping ratio, and stiffness coefficient on the system’s amplitude-frequency response and transmissibility performance, and the accuracy of the analytical results is verified by the fourth-order Runge-Kutta integral method (RK-4). The experimental data of the QZS isolator prototype are fitted to a nine-degree polynomial, and the RK-4 can theoretically predict the experimental results. The experimental results show that the QZS isolator has a lower initial isolation frequency and a wider isolation frequency bandwidth than the equivalent linear isolator. The frequency sweep test of prototypes with different harmonic excitation amplitudes shows that the initial isolation frequency of the QZS isolator is 3 Hz, and it can isolate 90% of the excitation signal at 7 Hz. The proposed biomimetic spider-like QZS isolator has high application prospects and can provide a reference for optimizing low-frequency or ultra-low-frequency isolators.

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一种仿生蜘蛛状结构的低频振动隔离器
受振动环境中蜘蛛精确捕捉能力的启发,本文提出了一种由弯曲梁(如蜘蛛脚)和线性弹簧(如蜘蛛肌)组成的准零刚度(QZS)隔离器。将曲梁简化为一个倾斜的水平弹簧,并进行了静力分析,探讨了不同结构参数对QZS隔震器刚度性能的影响。有限元仿真分析表明,QZS型隔振器能显著降低QZS区域负载下的一阶固有频率。采用谐波平衡法(HBM)研究了激励幅值、阻尼比和刚度系数对系统幅频响应和传输性能的影响,并用四阶龙格-库塔积分法(RK-4)验证了分析结果的准确性。QZS隔离器原型的实验数据被拟合为九次多项式,RK-4可以从理论上预测实验结果。实验结果表明,与等效线性隔离器相比,QZS隔离器具有较低的初始隔离频率和较宽的隔离带宽。对不同谐波激励幅度的样机进行扫频测试表明,QZS隔离器的初始隔离频率为3Hz,在7Hz时可以隔离90%的激励信号。所提出的仿生蜘蛛状QZS隔离器具有很高的应用前景,可为优化低频或超低频隔离器提供参考。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
6.70
自引率
9.10%
发文量
106
审稿时长
2.0 months
期刊介绍: Applied Mathematics and Mechanics is the English version of a journal on applied mathematics and mechanics published in the People''s Republic of China. Our Editorial Committee, headed by Professor Chien Weizang, Ph.D., President of Shanghai University, consists of scientists in the fields of applied mathematics and mechanics from all over China. Founded by Professor Chien Weizang in 1980, Applied Mathematics and Mechanics became a bimonthly in 1981 and then a monthly in 1985. It is a comprehensive journal presenting original research papers on mechanics, mathematical methods and modeling in mechanics as well as applied mathematics relevant to neoteric mechanics.
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