一种新型双磙子FPS隔振系统的动力学模型

Dynamic model of a novel FPS system with dual rollers

本文基于多体动力学理论建立了一种新型双磙子FPS(Friction Pendu lum System)隔振系统动力学模型。在对该系统进行运动学分析的基础上,可将它归结为一个单自由度系统。应用非惯性系中质点系相对动能定理的微分形式可推导出该系统的运动微分方程,它是一个非线性方程。在小角位移的情形下,可近似得到相应的无阻尼线性系统的固有频率,它与观测结果吻合。这一双磙子FPS隔振系统的动力学方程的建立有助于对该系统动力学行为的研究,对方程的直接求解可提高仿真设计中正问题计算的效率,为设计包含该系统的半主动控制奠定了基础。

A novel FPS system with dual rollers is studied analytically in the paper based on the theory of multibody dynamics. After the analysis of the kinematic characteristic of the system, it is reduced to a one degree-of -freedom system. Then the equation of motion for the system is rigorously derived applying the theorem of relative kinetic energy for system of particles in differential form, which is a nonlinear differential equation. In the case of small angular displacement, the natural frequency of the corresponding damping-free linear system is obtained, which is consistent with the experimental observation. The equation derived in the paper is useful for the study of dynamic characteristic of the novel FPS system, and solving it directly will expedite the simulation of the system in a control loop, which will facilitate further the semi-control process including the novel FPS system.