Dynamic properties of corrugated-pipe type salim vibration isolator
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摘要: 波纹管式液固混合介质隔振器是一种主要用于低频重载动力机械隔振的新型隔振器, 主要由波纹管弹性单元体和多层波纹管容器组成. 首先建立了弹性单元体的弹性板壳模型, 在考虑波纹管结构几何非线性及内部气体耦合的前提下, 利用参数摄动法推导了单元体在外部油压和内部气压共同作用下的非线性轴向刚度. 在此基础上, 推导了隔振器的轴向刚度, 发现刚度具有分段线性-非线性的特点, 并且与弹性单元体和波纹管容器的各参数密切相关. 进而建立了等效的分段双线性隔振系统的动力学方程, 利用平均法与数值仿真分析了隔振系统的非线性频响特性, 结果表明系统具有软弹簧特性, 而主共振稳态幅值关于频率的分岔会导致幅值跳跃现象的出现.
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关键词:
- 分段刚度
Abstract: Corrugated-pipe type solid and liquid mixture vibrationisolator (SALiM) is a new type of isolator for vibration isolation of heavyequipment with low frequency. Firstly, this paper establishes the mechanicsmodel of elastic solid elements by introducing plate-shell model. Based ongeometry nonlinearity of corrugated-pipe, the stiffness of the element underouter liquid pressure and inner air pressure can be obtained by theperturbation method. Then the stiffness of isolator is derived and analyzed,and as a result, the stiffness is piecewise nonlinear and determined byparameters of the solid elements and corrugated-pipe container. In addition,the equation of motion of a single degree of freedom system is given, whichconsists of a SALiM vibration isolator and mechanical equipment. Theproperties of the frequency response function of the system are analyzedusing average method which is a classical analytic method for solvingnonlinear differential equations. And it is found that this system withSALiM isolator shows softening stiffness behaviour. The jumping phenomenonclearly occurs under certain condition, and saddle-node bifurcation of theprimary resonance response can adequately illustrate the jumping phenomenon.-
Key words:
- piecewise stiffness
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