考虑修形的斜齿轮系统非线性激励与动力学特性研究  

Nonlinear excitation and dynamic characteristics of helical gear system with considering modification

作　　者：魏静[1] 王刚强[1] 秦大同[1] 张爱强[1] 赖育彬 汝学斌[2] WEI Jing;WANG Gang-qiang;QIN Da-tong;ZHANG Ai-qiang;AI Yu-bin;RU Xue-bin(State Key Laboratory of Mechanical Tra nsmission,Chongqing University,Chongqing 400044,China;Gear Transmission Branch,Taiyuan Heavy Industry Co.,Ltd.,Taiyuan 030024,China)

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400044 [2]太原重工股份有限公司齿轮传动分公司,山西太原030024

出　　处：《振动工程学报》2018年第4期561-572,共12页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(51775058);国家国际科技合作项目(2013DFA71330)

摘　　要：斜齿轮的啮合刚度与轮齿误差的求解是三维空间问题,其修形后的啮合刚度计算方法不同于直齿轮,而传统解析方法在计算斜齿轮啮合刚度时没有考虑斜齿轮啮合线和啮合位置的三维空间位置,无法准确得到修形后的斜齿轮系统啮合刚度激励与误差激励。建立综合考虑齿廓修形和齿向修形的刚度与误差非线性耦合激励模型,研究不同齿廓修形参数与齿向修形参数对斜齿轮啮合刚度以及系统动力学特性的影响规律;以系统振动加速度幅值最小为优化目标,确定斜齿轮系统的最佳修形值,利用数值方法得到斜齿轮系统的振动加速度幅频响应曲线,研究结果发现:选取的最佳修形参数可有效降低斜齿轮齿数交替区啮合刚度的波动,大幅度降低共振点附近的振动加速度幅值;最后通过建立的齿轮传动系统实验平台进行系统动力学特性实验研究,验证了理论模型及分析结果的正确性。Meshing stiffness and tooth error of helical gears are three-dimensional space problem,the calculation method of mesh stiffness after modification are different with spur gears.However,the traditional analytical method in the calculation of the helical gear meshing stiffness without considering the three-dimensional space position of helical gear meshing line and the meshing position,stiffness excitation and error excitation of a helical gear system after modification cannot be accurately obtained.A nonlinear coupling excitation model of stiffness and error considering profile relief and crown relief is established.Based on the model,the influences of profile relief parameters and crown relief parameters on the meshing stiffness of the helical gear and the dynamic characteristics of the helical gear transmission system are studied respectively.Taking the minimum amplitude of the vibration acceleration as the optimization objective,the optimum modification values of the system are determined.The amplitude and frequency response curves of vibration acceleration of helical gear system are obtained by numerical method.The research results show that selecting the optimum modification parameters can effectively slow down the meshing stiffness fluctuation of the alternating area of teeth,and greatly reduce the amplitude of system vibration acceleration near the resonance point.Finally,the dynamic characteristics of the helical gear are researched with the experimental platform of high speed rail traction gearbox transmission system,and the correctness of the theoretical model is verified.

关 键 词：斜齿轮 齿廓修形 齿向修形 非线性激励 动力学特性 

分 类 号：TH132.4[机械工程—机械制造及自动化] O322[理学—一般力学与力学基础]