基于威尔逊θ法的船舶推进轴系扭转振动计算

Torsional Vibration Calculation for Ship Propulsion System with Wilsion θ Method

通过使用威尔逊θ法,在时域内把轴系扭转振动微分方程的响应历程按照一定的时间步长进行离散,根据各时间点上的动力学关系建立方程进行逐步求解。应用MATLAB编制计算程序,稳态响应结果与精确方法基本一致,同时获得了轴系元件在时域内的动态响应,且其中角位移动态响应中还包含了滚振分量。因此采用威尔逊θ法扭转振动计算,可以应用于非稳态工况的求解。

By using the Wilsion θ method, the continuous time domain of torsional vibration differential eguation equation for shafting system was dispersed by specified time increment and the dynamic equation of each point of time was figured out. The program was built by MATLAB and the steady torsional vibration stress is basically the same with the result by accurate method. The response for each shaft element was gotten and the part of rolling vibration was included in the vibration displacement. The Wilsion θ method could be used to solve the unsteady problem of torsiaonal vibration.