圆柱壳体基础隔振系统导纳功率流特性  

Mobility Power Flow Analysis of Vibration Isolation System with a Circular Cylindrical Shell Foundation

作　　者：王晓乐[1,2] 孙玲玲[1,2] 高阳[1,2] 杨明月[1,2] 

机构地区：[1]山东大学机械工程学院,济南250061 [2]山东大学高效洁净机械制造教育部重点实验室,济南250061

出　　处：《机械工程学报》2015年第11期48-55,共8页Journal of Mechanical Engineering

基　　金：国家自然科学基金资助项目(51174126)

摘　　要：针对圆柱壳体基础上动力装置隔振问题,建立复杂振源激励、多弹性支承、柔性圆柱壳体多维耦合传递矩阵力学模型。基于经典薄壳理论和模态叠加原理,同时计及奇偶模态响应,给出两端剪力薄膜支撑各向同性圆柱壳体的点导纳解析表达式,以导纳矩阵形式表征不同激励组分与速度响应的交叉耦合关系。考虑弹性支承的多维波动效应,运用子结构导纳法推导整体系统的功率流传递方程。研究表明:振源垂向、横向激励力与倾倒力矩诱发的隔振器纵向及弯曲谐振是中高频域系统功率流提高的主要原因;力矩激励对于柔性壳体基础功率流传输具有重要影响;壳体基础的径向弯曲振动在整个系统能量传递中占据支配地位,与其相关的弯曲机械波是主要结构声源。所用建模分析方法具有模块化延拓性,旨在为系统结构参数优化及后续的主被动一体化控制策略确立理论依据。In order to deal with the vibration problem about machinery installed in a cylinder, the analytical model for a single-stage passive isolation system which consists of complex excitations, multiple elastic mounts and a circular cylindrical shell foundation is established. Based on classical thin shell theories and modal superposition principle, the mobility functions of a cylindrical shell with both ends shear diaphragms supported are derived. In these expressions, the responses of odd and even modes are taken into account together. The mobility matrix is used to characterize the relationship between different forms of forces and speed responses. Wave effects in elastic mounts are considered also, and the mobility method is applied to derive the power flow transfer equations of the overall system. It is found that the standing longitudinal and flexural waves of the mounts induced by the vertical force, transverse force and moment excitations have obvious effects on the power transmission at high frequencies. Moment excitation has an important effect on the transmission of power into the flexible cylinder. It necessarily suggests that the radial flexural vibration component plays a dominant role in the power transmission. This proposed approach is provided with modular scalability and can provide a theoretical guidance for the structural parameter optimization and integrated passive and active control strategies.

关 键 词：圆柱壳体 隔振 导纳 功率流 驻波 

分 类 号：TB53[理学—物理]