裂纹倾斜角度对呼吸裂纹转子非线性刚度及动力学特性的影响  

Study on Nonlinear Stiffness and Dynamic Characteristics of Inclined Cracked Rotors With Different Crack Inclination Angles

作　　者：张广辉[1] 国阳 王维强 赵御勃 李豫 刘占生[1] ZHANG Guanghui;GUO Yang;WANG Weiqiang;ZHAO Yubo;LI Yu;LIU Zhansheng(School of Energy Science and Engineering,Harbin Institute of Technology,Harbin 150001,Helongjiang Province,China)

机构地区：[1]哈尔滨工业大学能源科学与工程学院,黑龙江省哈尔滨市150001

出　　处：《中国电机工程学报》2022年第17期6368-6378,共11页Proceedings of the CSEE

摘　　要：基于应力强度因子建立了倾斜裂纹单元的刚度矩阵,比较不同裂纹倾斜角度下裂纹转子在一个稳态旋转周期内转轴刚度的时变特性;结合裂纹转子动力学建模,仿真给出倾斜裂纹转子的动力学响应。结果表明含有斜裂纹的转子系统表现出了较强的非线性特征,在弯曲方向上的耦合刚度显著大于含有横向裂纹的转子系统的耦合刚度。随着裂纹倾斜角的增大,受裂纹转子刚度的非线性变化的影响,转子在弯曲方向的基频、2倍频和3倍频振幅增大,而5倍频振幅的幅值随着裂纹倾斜角度的增大而减小,与2倍频分析得出的规律相反。随着裂纹倾斜角的变化,基频振动幅值的变化幅度约为1%,2倍频振动幅值变化约为20%,3倍频振动幅值变化约为4.7%,5倍频振动幅值变化约为25%。The stiffness matrix of inclined crack elements was established based on the stress intensity factor, and time-varying characteristics of cracked rotors stiffness during a steady rotation period were compared under different crack inclination angles. Due to the dynamic model of cracked rotors,dynamic response of inclined cracked rotors was simulated.Results show that rotor systems with inclined cracks exhibit strong nonlinear characteristics. What’s more, coupling stiffness in the bending direction of rotor systems with inclined cracks is significantly greater than that of the rotor systems with transverse cracks. Under the influence of nonlinear change of stiffness of cracked rotors, the vibration amplitude of cracked rotors in bending direction in fundamental frequency, 2times frequency and 3 times frequency rises with the increase of crack inclination angle. In contrast, the vibration amplitude of 5 times frequency decreases with the increase of the crack inclination angle. With the change of crack inclination angle,the vibration amplitude of fundamental frequency changes about 1%, the vibration amplitude of 2 times frequency changes about 20%, the vibration amplitude of 3 times frequency changes about 4.7%, and the vibration amplitude of 5 times frequency changes about 25%.

关 键 词：裂纹转子 倾斜裂纹 呼吸效应 非线性动力学 

分 类 号：V231[航空宇航科学与技术—航空宇航推进理论与工程]