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李   坤

 

 

（河海大学 力学与工程科学学院，南京 211100）

摘要：为降低基础激励对设备的影响，提出了一种新型杠杆式准零刚度隔振器。通过静力学分析，推导了系统非线性回复力和刚度的表达式，并确定了静平衡位置处的准零刚度条件。通过拉格朗日方程，建立了系统的动力学方程。利用谐波平衡法，得到了绝对位移传递率表达式。分析了质量比、杠杆比、刚度比、阻尼比和位移激励幅值对位移传递率曲线影响的机理。结果表明：在低频区域，通过与传统准零刚度隔振系统、线性隔振系统的对比，新型杠杆式准零刚度隔振系统的绝对位移传递率曲线峰值更低，起始隔振频率比更小，有效隔振范围更广，隔振效果更好，并且新型杠杆式准零刚度隔振系统对较大位移激励下的振动也起到良好的隔振效果。研究成果为小幅值低频甚至超低频振动的隔离提供了新的思路。

关键词：非线性刚度；非线性阻尼；杠杆结构；准零刚度隔振器；低频隔振

中图分类号：O328；O322

文献标志码：A

文章编号：1005-8249（2025）06-0150-08

DOI：10.19860/j.cnki.issn1005-8249.2025-06-025

 

 

LI Kun

 

 

(College of Mechanics and Engineering Science,Hohai University,Nanjing 211100,China）

 

Abstract：In order to reduce the influence of foundation excitation on the equipment,a novel lever-type quasi-zero-stiffness vibration isolator was proposed.Through static analysis,the expressions of nonlinear restoring force and stiffness of the system were derived,and the quasi-zero stiffness condition at the static equilibrium position was determined.Through the Lagrange equation,the dynamic equation of the system was established.Using the harmonic balance method,the absolute displacement transmissibility expression was obtained.The influence mechanism of mass ratio,leverage ratio,stiffness ratio,damping ratio and displacement excitation amplitude on the displacement transmissibility curve is analyzed.The results show that in the low frequency region,by comparing with the traditional quasi-zero stiffness vibration isolation system and the linear vibration isolation system,the peak value of the absolute displacement transmissibility curve of the novel lever-type quasi-zero stiffness vibration isolator is lower,the initial vibration isolation frequency ratio is smaller,the effective vibration isolation range is wider,and the vibration isolation effect is better.The novel lever-type quasi-zero stiffness vibration isolation system also has a good vibration isolation effect under large displacement excitation.The research results provide a new idea for the isolation of small amplitude low frequency or even ultra-low frequency vibration.

 

Key words：nonlinear stiffness;nonlinear damping;leveraged structure;quasi-zero-stiffness vibration isolator;low-frequency vibration isolation

作者简介：李  坤（1998—），男，博士研究生，研究方向:结构动力学与控制。

收稿日期：2025-05-14