Profile shift is a highly effective technique for optimizing the performance of spur gear transmission systems.However,tooth surface wear is inevitable during gear meshing due to inadequate lubrication and long-term o...Profile shift is a highly effective technique for optimizing the performance of spur gear transmission systems.However,tooth surface wear is inevitable during gear meshing due to inadequate lubrication and long-term operation.Both profile shift and tooth surface wear(TSW)can impact the meshing characteristics by altering the involute tooth profile.In this study,a tooth stiffness model of spur gears that incorporates profile shift,TSW,tooth deformation,tooth contact deformation,fillet-foundation deformation,and gear body structure coupling is established.This model efficiently and accurately determines the time-varying mesh stiffness(TVMS).Additionally,an improved wear depth prediction method for spur gears is developed,which takes into consideration the mutually prime teeth numbers and more accurately reflects actual gear meshing conditions.Results show that consideration of the mutual prime of teeth numbers will have a certain impact on the TSW process.Furthermore,the finite element method(FEM)is employed to accurately verify the values of TVMS and load sharing ratio(LSR)of profile-shifted gears and worn gears.This study quantitatively analyzes the effect of profile shift on the surface wear process,which suggests that gear profile shift can partially alleviate the negative effects of TSW.The contribution of this study provides valuable insights into the design and maintenance of spur gear systems.展开更多
The internal friction of floating spline can cause self-excited vibration of a supercritical flexible rotor system.To address this issue,a high-efficiency dynamic modeling method is proposed to investigate the self-ex...The internal friction of floating spline can cause self-excited vibration of a supercritical flexible rotor system.To address this issue,a high-efficiency dynamic modeling method is proposed to investigate the self-excited vibration behavior and instability evolution of the rotor.Experiments are conducted to validate the theoretical results.The coupled dynamic equations for the rotor system connected with the floating spline are derived through the combination of finite element method and lumped parameter model.A hybrid numerical approach of precise integration and Runge-Kutta method is adopted to examine the effects of the friction coefficient of spline’s tooth surface,torque,and eccentricity on the self-excited vibration of the rotor system.The results show that the spline friction leads to negative damping and inputs energy into the rotor system under supercritical conditions,triggering self-excited vibration when the input energy exceeds a specific level.With the same parameters,the experimentally obtained axial trajectory and primary frequency components are consistent with the theoretical results,verifying the accuracy of the proposed theoretical model.This study can serve as a useful theoretical guide for the dynamic stability design of flexible rotor systems with the floating spline.展开更多
基金Supported by National Natural Science Foundation of China (Grant No.52275061)。
文摘Profile shift is a highly effective technique for optimizing the performance of spur gear transmission systems.However,tooth surface wear is inevitable during gear meshing due to inadequate lubrication and long-term operation.Both profile shift and tooth surface wear(TSW)can impact the meshing characteristics by altering the involute tooth profile.In this study,a tooth stiffness model of spur gears that incorporates profile shift,TSW,tooth deformation,tooth contact deformation,fillet-foundation deformation,and gear body structure coupling is established.This model efficiently and accurately determines the time-varying mesh stiffness(TVMS).Additionally,an improved wear depth prediction method for spur gears is developed,which takes into consideration the mutually prime teeth numbers and more accurately reflects actual gear meshing conditions.Results show that consideration of the mutual prime of teeth numbers will have a certain impact on the TSW process.Furthermore,the finite element method(FEM)is employed to accurately verify the values of TVMS and load sharing ratio(LSR)of profile-shifted gears and worn gears.This study quantitatively analyzes the effect of profile shift on the surface wear process,which suggests that gear profile shift can partially alleviate the negative effects of TSW.The contribution of this study provides valuable insights into the design and maintenance of spur gear systems.
基金supported by the National Natural Science Foundation of China,China(No.52005253)the Natural Science Foundation of the Jiangsu Higher Education Institutions of China,China(No.22KJB130004)+2 种基金the Natural Science Foundation of Jiangsu Province,China(No.BK20200426)the Postdoctoral Science Foundation of Jiangsu Province,China(No.2021K075A)the National Key Laboratory of Science and Technology on Helicopter Transmission,China(No.HTL-O-21G08)。
文摘The internal friction of floating spline can cause self-excited vibration of a supercritical flexible rotor system.To address this issue,a high-efficiency dynamic modeling method is proposed to investigate the self-excited vibration behavior and instability evolution of the rotor.Experiments are conducted to validate the theoretical results.The coupled dynamic equations for the rotor system connected with the floating spline are derived through the combination of finite element method and lumped parameter model.A hybrid numerical approach of precise integration and Runge-Kutta method is adopted to examine the effects of the friction coefficient of spline’s tooth surface,torque,and eccentricity on the self-excited vibration of the rotor system.The results show that the spline friction leads to negative damping and inputs energy into the rotor system under supercritical conditions,triggering self-excited vibration when the input energy exceeds a specific level.With the same parameters,the experimentally obtained axial trajectory and primary frequency components are consistent with the theoretical results,verifying the accuracy of the proposed theoretical model.This study can serve as a useful theoretical guide for the dynamic stability design of flexible rotor systems with the floating spline.
