船舶复杂轴系扭转振动建模及动力学分析

Torsional Vibration Modeling and Dynamic Analysis of Complex Ship Shaft Systems

针对船舶复杂轴系结构,提出一种基于能量法的轴系扭转振动建模及动力学分析方法。该方法对船舶复杂轴系中的典型结构进行统一能量化描述,如联轴器、齿轮、负载等,并结合弹性轴的能量函数构建轴系结构的拉格朗日能量泛函;然后,利用最小二乘法和广义变分法,对轴系角位移展开项系数进行求解,从而建立适用于船舶复杂轴系结构的扭转动力学模型。通过与有限元方法计算结果相比较来验证该建模方法的准确性,并利用该方法分析连接刚度和负载转动惯量对整体轴系扭振特性的影响,以期为船舶复杂轴系设计提供一定参考。

A torsional vibration formulation and dynamic analysis method for complex ship shaft systems based on the energy approach is presented. The typical structures in the shaft systems including couplings, gears and inertia loadings are described uniformly by energy functions, which contribute to Lagrange function together with energy functions of elastic shafts. The expansion coefficients can be obtained by least square and generalized variational procedure. The accuracy of the presented method is validated by comparing the calculation results to those from finite element method. The influence of the coupling stiffness and the inertia loading on dynamic behavior of complex shaft systems is also conducted to provide reference for the design of complex shafts.