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.
Corrugated-pipe type solid and liquid mixture vibration isolator （SALiM） is a new type of isolator for vibration isolation of heavy equipment with low frequency. Firstly, this paper establishes the mechanics model of elastic solid elements by introducing plate-shell model. Based on geometry nonlinearity of corrugated-pipe, the stiffness of the element under outer liquid pressure and inner air pressure can be obtained by the perturbation method. Then the stiffness of isolator is derived and analyzed, and as a result, the stiffness is piecewise nonlinear and determined by parameters of the solid elements and corrugated-pipe container. In addition, the equation of motion of a single degree of freedom system is given, which consists of a SALiM vibration isolator and mechanical equipment. The properties of the frequency response function of the system are analyzed using average method which is a classical analytic method for solving nonlinear differential equations. And it is found that this system with SALiM isolator shows softening stiffness behaviour. The jumping phenomenon clearly occurs under certain condition, and saddle-node bifurcation of the primary resonance response can adequately illustrate the jumping phenomenon.
出处
《力学学报》
EI
CSCD
北大核心
2011年第6期1162-1169,共8页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金资助项目(10772080)
supported by the National Natural Science Foundation of China(10772080)
关键词
液固混合介质
波纹管
隔振
缓冲
分段刚度
solid and liquid mixture, corrugated-pipe, vibration isolation, shock absorbing, piecewise stiffness
