船舶水润滑橡胶轴承-转轴系统的粘-滑振动近似解析解  

Analytical Approximations for Stick-slip Vibration of the Marine Rubber Bearing-shaft System

作　　者：吴闯 商德江[1,2,3] 肖妍 张超[1,2,3] 刘永伟[1,2,3] WU Chuang;SHANG De-jiang;XIAO Yan;ZHANG Chao;LIU Yong-wei(College of Underwater Acoustic Engineering,Harbin Engineering University,Harbin 150001,China;National Key Laboratory of Underwater Acoustic Technology,Harbin Engineering University,Harbin 150001,China;Key Laboratory of Marine Information Acquisition and Security(Harbin Engineering University),Ministry of Industry and Information Technology,Harbin 150001,China)

机构地区：[1]哈尔滨工程大学水声工程学院,哈尔滨150001 [2]哈尔滨工程大学水声技术全国重点实验室,哈尔滨150001 [3]工业和信息化部海洋信息获取与安全工信部重点实验室(哈尔滨工程大学),哈尔滨150001

出　　处：《船舶力学》2023年第12期1873-1884,共12页Journal of Ship Mechanics

基　　金：国家自然科学基金资助项目(11274080);中央高校基本科研业务费资助项目(3072022TS0501)。

摘　　要：针对船舶艉部水润滑橡胶轴承-转轴系统的摩擦诱导粘-滑自激振动,考虑Stribeck效应摩擦模型和法向载荷,建立其简化的质量块-弹簧-皮带一自由度模型。采用KBM法理论推导粘滑自激振动幅值的近似解析表达式,该表达式可获得系统的稳定与不稳定的稳态解,而且与模型非线性微分方程的数值解吻合良好,然后分析动摩擦系数和法向载荷对自激振动幅值的影响。The one-degree-of-freedom mass-spring-belt model is established for describing friction-induced stick-slip self-excited vibration by considering the stribeck-effect friction model and the nor-mal load.The approximately analytical expressions for stick-slip oscillation amplitude are derived by using Krylov-Bogoliubbov-Mitropolsky method.Both the stable and the unstable steady-state solu-tions can be obtained by the analytical expressions.In addition,results from the analytical expressions agree well with results from numerical integration of the nonlinear governing equations of the model.Subsequently,the influences of kinetic friction coefficient and normal force on self-excited vibration amplitudes are discussed.The novelty of this work is the derived approximately analytical expressions for stick-slip oscillation amplitude,by which the stable and the unstable steady-state solution can be obtained.

关 键 词：摩擦 自激振荡 近似解析解 Stribeck效应 粘-滑 

分 类 号：O322[理学—一般力学与力学基础] O323[理学—力学] U664.21[交通运输工程—船舶及航道工程]