基于Hamilton多机振动系统同步稳定特性分析

基于Hamilton原理,提出了一种多机振动系统同步稳定性理论条件.基于Lagrange力学方法,在6个自由度振动系统同步稳定性模型的基础上,首次建立具有12个自由度多机系统的动力学模型,运用Hamilton原理建立了该系统实现同步运转和同步稳定运转特性的条件.该同步稳定性理论能广泛应用在多电机多筛的节肢振动筛中.分析表明,具有3个惯性反向回转的节肢振动筛系统,在满足一定条件时可以实现同步且稳定运转,为该类产品设计提供了理论依据.

Synchronization/Stability Characteristic Analysis Based on Hamilton Principle for Multi-machine Vibration Systems

Based on the Hamilton principle,the synchronization/stability characteristic analysis for multi-machine vibration system is theoretically put forward.Then,based on the Lagrange theory and earlier works concerning synchronous stability for 6-DOF multi-machine vibration system,a dynamic model of 12-DOF multi-machine vibration system is developed first and,on the Hamilton principle,it provides the characteristic conditions for synchronous operation and especially the synchronously stable operation.Such a synchronization/stability theory is available to apply widely to segmental vibration screens of multi-machine and multi-screen systems.The analysis result indicated that a segmental vibrating screen system with 3-DOF inertial reversing rotation is available to work synchronously and stably if satisfying certain conditions,thus providing theoretically a reference for the design of those systems.