基于移动质量弹簧系统的桥式起重机动力学特性研究

Dynamic Characteristics of Bridge Crane Based on Moving Mass Spring System

摘要: 本文以单梁桥式起重机为研究对象，建立了移动质量弹簧系统运动微分方程，并在有限元中针对主梁进行了模态分析，采用位移耦合法对移动质量弹簧系统进行建模，数值结果表明：小车在主梁上移动时，理论阶与有限元解十分相近，在简支边界条件下，小车位于主梁边界位置时，系统的固有频率有所降低，主梁跨中响应曲线与小车的移动速度，承载质量和钢丝绳刚度都有着密切关系。

Abstract: In this paper, the single girder bridge crane is taken as the research object. The movement differential equation of the moving mass spring system is established, and the modal analysis of the main beam is carried out in the finite element method. The moving mass spring system is modeled by the displacement coupling method. The numerical results show that: when the trolley moves on the main beam, the theoretical order is very close to the finite element solution. Under the simply supported boundary condition, when the trolley is at the boundary position of the main beam, the natural frequency of the system is reduced. The response curve of the mid-span of the main beam is closely related to the moving speed of the trolley, the bearing mass and the stiffness of the wire rope.