准零刚度隔振平台的冲击响应及能量分析

刘彦琦; 顾黄森; 宋春芳; 汪新; 邓二杰; 王友会

doi:10.13433/j.cnki.1003-8728.20220197

准零刚度隔振平台的冲击响应及能量分析

doi: 10.13433/j.cnki.1003-8728.20220197

1.
北京市科学技术研究院城市安全与环境科学研究所, 北京 100054
2.
江南大学机械工程学院江苏省食品先进制造装备技术重点实验室, 江苏无锡 214122

基金项目:

北京市自然科学基金项目 1182010

北京市西城区优秀人才培养拔尖团队项目及轨道交通基础设施性能监测与保障国家重点实验室开放课题 HJGZ2021101

详细信息

作者简介:
刘彦琦, 正高级工程师, jdyqliu@163.com

通讯作者:
宋春芳, 教授, 博士生导师, songcf@jiangnan.edu.cn

中图分类号: O328
计量
- 文章访问数: 99
- HTML全文浏览量: 23
- PDF下载量: 28
- 被引次数: 0
出版历程
- 收稿日期: 2021-10-14
- 刊出日期: 2024-01-25

Shock Response and Energy Analysis of Quasi-zero Stiffness Vibration Isolation Platform

1.
Institute of Urban Safety and Environmental Science, Beijing Academy of Science and Technology, Beijing 100054, China
2.
Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology, School of Mechanicl Engineering, Jiangnan University, Wuxi 214122, Jiangsu, China

摘要

摘要: 本文对准零刚度(Quasi-zero stiffness, QZS)隔振平台进行了冲击响应及能量分析，详细分析了系统的时域冲击响应以及系统能量损耗特性。首先建立了冲击激励下系统的非线性动力学方程，数值分析了QZS隔振平台系统的时域冲击响应，并与相应的线性系统进行对比分析。之后以系统能量损耗速度作为系统缓冲性能的评价指标，分析了阻尼及结构参数对系统缓冲性能的影响。研究表明：QZS系统的位移响应幅值高于相应的线性系统，但QZS隔振系统位移响应的衰减速度快于线性系统，衰减所需的周期数少于线性系统。另外，阻尼有助于提高系统的缓冲效果，刚度比和倾斜角并不会对系统缓冲性能造成较大影响。
- 准零刚度 /
- 隔振系统 /
- 冲击响应 /
- 能量损耗
Abstract: Shock response and energy analysis of quasi-zero stiffness (QZS) vibration isolation platform is carried out. To focus on the shock performance and energy loss characteristics, the six-degree freedom nonlinear dynamic equations of the QZS system under impact excitation are deduced firstly. The shock response of system is numerically analyzed and compared with that of the corresponding linear isolation system. Subsequently, the influences of damping and structural parameters on the buffering performance are analyzed by using the energy loss velocity as the evaluation index of the buffering performance. The results indicate that the response amplitude of system is higher than that of the corresponding linear system, but the response of the QZS system declines faster than that of the corresponding linear system, and the number of periods required for attenuation is less than that of the linear system. Therefore, the damping can improve the buffering performance, and the stiffness ratio and inclination angle have few impacts on the buffering performance of the QZS vibration isolation platform.
- quasi-zero stiffness /
- vibration isolation system /
- shock response /
- energy loss

HTML全文

图 1 准零刚度隔振平台结构示意图

Figure 1. Structural sketch of quasi-zero stiffness vibration isolation platform

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图 2 碟形弹簧结构示意图

Figure 2. Structure sketch of disc spring

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图 3 锥形支柱受力分析图

Figure 3. Force analysis diagram of conical prop

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图 4 系统冲击位移响应

Figure 4. Shock displacement response spectrum of system

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图 5 不同阻尼下系统位移响应

Figure 5. Displacement response of system with different damping

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图 6 不同阻尼下系统的能量损耗占比曲线

Figure 6. Energy loss ratio curve of system with different damping

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图 7 不同刚度比λ下系统能量损耗占比曲线

Figure 7. Energy loss ratio curve of system under different stiffness ratio λ

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图 8 不同倾斜角φ下系统的能量损耗占比曲线

Figure 8. Energy loss ratio curve of the system at different inclination angles φ

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表 1 隔振平台及初始运动参数

Table 1. Vibration isolation platform and initial motion parameters

参数	数值	参数	数值	参数	数值
φ	π/6	v_x′	0.166 7	v_θx′	6.67×10^-3
λ	1	v_y′	0.166 7	v_θy′	4.166 7×10^-4
l₁′	200	v_z′	0.027 8	v_θz′	1.6x10^-3
l₂′	400	ζ_i(i=1~6)	0.1

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