摘要
本文提出了一种新的多自由度非线性隔振平台.利用一组预压的三角机构和曲面边界同时实现了竖直-旋转多自由度上的负刚度特性,结合正刚度原件,实现竖直-旋转多自由度准零刚度特性.首先,文章基于平面问题建立竖直-旋转两自由度隔振平台的力学模型,确定结构参数与非线性刚度之间的关系.可以看到,通过设计预压弹性元件的结构参数可以同时实现两自由度的准零刚度特性.然后,利用谐波平衡法建立振动响应与频率之间的关系,确定有效的振动带隙的宽度,由此确定结构参数的最优取值.本文提出的隔振平台可以用于大型装备的隔振,也适用于微振动的工况,还可以作为教学的演示实验.
A novel multi-direction isolation platform is presented in this paper. A group of Quadrilateral-Linkage Structures（QLSs） and curved contact boundary are used to realize the negative stiffness characteristics for both vertical and rotation directions. Combining positive stiffness components, the multi-direction Quasi-Zero-Stiffness（QZS） can be realized. Firstly, the mechanical model of the vertical-rotation vibration isolation platform is established. The relationship between the structural parameters and nonlinear stiffness property is determined, and the QZS characteristics of the two-direction vibration can be achieved simultaneously by adjusting structural parameters of the QLSs. Then, the relationship between the nonlinear vibration features and frequency is established by the harmonic balance method. The bandwidth of the effective isolation frequency band is obtained for different adjustable parameters. The multi-direction QZS vibration isolation platform proposed in this paper can be used for vibration isolation of large devices and equipments, also suitable for micro vibration conditions. The vibration isolation platform can also be used in demonstrative experiments for teaching.
作者
孙秀婷
富展展
SUN Xiuting;FU Zhanzhan(School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, Chin)
出处
《力学季刊》
CSCD
北大核心
2018年第2期249-257,共9页
Chinese Quarterly of Mechanics
基金
上海市扬帆计划(16YF1408000)
上海市自然科学基金(16ZR1423600)
国家自然科学基金青年基金(11602141)
国家自然科学基金(11772229)
关键词
几何非线性
多方向隔振
有效隔振带
准零刚度
geometrical nonlinearity
multi-direction isolation
effective isolation band
quasi-zero stiffness
