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机 械 工 程 学 报
JOURNAL OF MECHANICAL ENGINEERING
DOI:10.3901/JME.20**.**.***
激励幅值对准零刚度隔振器特性的影响(二号黑体)
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刘兴天
1, 2
黄修长
1, 2
张志谊
1, 2
华宏星
1, 2
(四号仿宋)
(1. 上海交通大学振动、冲击、噪声研究所 上海 200240;
2. 上海交通大学机械系统与振动国家重点实验室 上海 200240)
摘要(小五,黑体):提出具有负刚度特性的欧拉屈曲梁结构并分析其静态特性,将负刚度机构和线性隔振器并联使用,设计
准零刚度隔振器。如果隔振器的载荷选用得当,系统将在零刚度点平衡,若载荷发生改变,系统平衡点将偏离零刚度点。考
虑载荷的影响,对零刚度隔振器进行动态建模,并采用谐波平衡法求解准零刚度隔振器的响应。定义准零刚度隔振器平衡点
不在刚度零点时系统的力传递率,分析激励幅值和载荷对隔振器性能的影响并和线性隔振器的性能进行比较。结果表明,所
设计的零刚度隔振器具有低频隔振效果,其响应和隔振性能受到激励幅值和载荷的影响,可以使系统的特性从单纯的渐硬刚
度向渐软刚度以及渐软-渐硬刚度混合的特性改变,并显著改变系统的传递性能。(小五,宋体)
关键词(小五,黑体):负刚度;隔振;非线性系统;谐波平衡法;载荷(小五,宋体)
中图分类号(小五,黑体):TG156(小五,Times New Roman)
Influence of Excitation Amplitude and Load on the Characteristics of a
Quasi-zero Stiffness Isolator(小三,加粗)
LIU Xingtian
1, 2
HUANG Xiuchang
1, 2
ZHANG Zhiyi
1, 2
HUA Hongxing
1, 2
(小四,姓大写)
(1. Institute of Vibration, Shock and Noise, Shanghai Jiao Tong University, Shanghai 200240; (五号)
2. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240)
Abstract(小五,加粗):An Euler buckled beam formed negative stiffness mechanism is proposed and the static characteristic of
which is analyzed. A quasi-zero stiffness isolator is designed by parallel connected the negative stiffness mechanism and a linear
isolator. The Euler buckled beam structure functions as a stiffness corrector to lower the stiffness of the linear isolator. If the load is
chosen properly, the equilibrium point will be set at the zero stiffness point, any changes of the load will lead the equilibrium point
deviating from the zero stiffness point. The dynamic model is built considering the load effect and the Harmonic balance method is
employed to solve for the dynamic response of the system. Force transmissibility of the zero stiffness isolator is defined and
compared with that of an equivalent linear one. The effect of excitation amplitude and load on the performance is analyzed. The
results show that the force excitation amplitude and load can change the characteristic of the nonlinear isolator from a hardening
stiffness system to a softening stiffness system and even a mixed softening-hardening stiffness system. The excitation amplitude and
load also have great affection on the transmissibility performance. (小五)
Key words(小五,加粗):Negative stiffness;Vibration isolation;Nonlinear systems;Harmonic balance method;load
0 前言(一级标题:四号,宋体)
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1
(正文:五号,宋体)随着精密工程、纳米工程
等的发展,对隔离外界环境的振动提出了越来越高
的要求,例如在引力波探测以及高精密光学成像等
� 国家自然科学基金资助项目(11202128)。20121205 收到初稿,20120205
收到修改稿(六号宋体,此处为脚注,和正文分开)
领域,对低频隔振的需求更加迫切。然而,普通的
隔振器很难在低频范围有效隔振,研发在低频区域
隔振性能好、承载能力强的隔振器一直是各国学者
的研究热点。线性理论表明,在一定载荷下,降低
隔振器的刚度可以显著降低隔振器起始隔振频率,
从而获取低频隔振性能。但是降低隔振器的刚度又
使得隔振器的静态变形增加而丧失承载能力,同时
会带来稳定性以及占用空间过大等问题。近年来,
国内外诸多学者通过在线性隔振器的基础上引入负