应用拟小波法求解旋转轴系动力响应  

Application of Quasi-Wavelet Method to Dynamic Response of Rotating Shaft

作　　者：李威[1] 宋志伟[1] 渠鸿飞[1] 

机构地区：[1]华中科技大学船舶与海洋工程学院,武汉430074

出　　处：《中国造船》2013年第1期83-92,共10页Shipbuilding of China

摘　　要：在考虑运转状态下轴系自身陀螺效应和所受脉动载荷的条件下,建立的微分方程组在空间和时间上是耦合的,难以采用常规方法在数值上进行精确求解。拟小波法拥有全局方法的高精度和局域方法的灵活性,适合于非线性耦合微分方程的求解,可用来求解旋转船舶轴系的动力学方程。采用拟小波求解无轴向力作用时旋转轴的动力响应,将它与解析解对比,验证了该方法的可行性和有效性。在此基础上,用该方法求解船舶轴系受到螺旋桨产生的周期性轴向力作用时的动力响应,讨论了转速和周期性轴向力的影响。计算结果表明在特定转速下轴系的位移响应会发散,呈现了周期性轴向力的影响。Based on the consideration of gyroscopic effect to a shaft subjected to pulsating loads in operational status, the differential equations are coupled in space and time, which are hardly solved by using traditional methods to obtain a precise solution numerically. The quasi-wavelet method is used to solve the dynamic equations of a rotating shaft, as the method can not only achieve a high precise solution like a global method but also has flexibility like a local method, that is, it is suitable to solve nonlinear coupled differential equations. Dynamic responses of rotating shafts without axial force is solved, and numerical result is compared with corresponding analytical result. The comparison shows that quasi-wavelet method is feasible and valid to this kind of problem. Then this method is used for studying dynamic responses of a rotating ship shaft subjected to a periodic axial force excited by a propeller. Effects of rotation rate and periodic axial force are discussed. Calculation results show that dynamic responses are affected by periodic axial forces and will diverge with some specified rotation rates.

关 键 词：动力响应 旋转轴 拟小波法 

分 类 号：U664.21[交通运输工程—船舶及航道工程] TB123[交通运输工程—船舶与海洋工程]