中国机械工程2025，Vol.36Issue(11)：2554-2562,9.DOI:10.3969/j.issn.1004-132X.2025.11.010
预变形Jeffcott裂纹转子超谐波共振的动力学响应
Dynamics Response of Super-harmonic Resonance of a Pre-deformed Jeffcott Cracked Rotor
摘要
Abstract
Based on the theories of rotor dynamics and nonlinear dynamics,the dynamics response of 2/3 super-harmonic resonance of the system was studied for the rigidly supported horizontal Jeffcott cracked rotors under the condition of 1∶1 internal resonance.Considering the gravity-induced pre-deformation effect and crack respiration behavior,a system dynamical equation with quadratic nonlinearity introduced by pre-deformation and cubic nonlinearity was established.The multi-scale method was used to derive the evolu-tion equation of the system,and the influences of the changes of system parameters on the dynamics behav-iors of the system were discussed in detail,and it is shown that with the increasing of crack depths and lat-eral damping coefficients,the frequency response curves of the system exhibit"frequency island"phenom-enon.It is clarified that the square nonlinearity exhibits a softening effect on the system,while the cubic nonlinearity exhibits a hardening effect.Numerical integration of the system's dynamics equation was con-ducted using the Runge-Kutta method to observe the jumping phenomenon,and the approximate solutions obtained through the multi-scale method were validated.The findings provide theoretical guidance for the nonlinear dynamics analysis of crack faults in Jeffcott rotor systems.关键词
Jeffcott裂纹转子/预变形/多尺度法/动力学行为Key words
Jeffcott cracked rotor/pre-deformation/multiscale method/dynamics behavior分类
机械制造引用本文复制引用
张博,程明霞,史云帆,陈丽..预变形Jeffcott裂纹转子超谐波共振的动力学响应[J].中国机械工程,2025,36(11):2554-2562,9.基金项目
国家自然科学基金(52078419) （52078419）
陕西省自然科学基金(2022JQ-019) （2022JQ-019）
长安大学中央高校基本科研业务费专项资金(300102123201,300102124818) （300102123201,300102124818）
