航空混交面齿轮分流传动系统非线性动力学  

Nonlinear dynamics of aircraft blended face gear split transmission system

作　　者：莫帅 唐旭 陈科任 张伟[3] 张以都[6] MO Shuai;TANG Xu;CHEN Keren;ZHANG Wei;ZHANG Yidu(State Key Laboratory of Featured Metal Materials and Life-cycle Safety for Composite Structures,Guangxi University,Nanning 530004,China;School of Mechanical Engineering,Guangxi University,Nanning 530004,China;Scientific Research Center of Engineering Mechanics,Guangxi University,Nanning 530004,China;State Key Laboratory of Digital Manufacturing Equipment and Technology,Huazhong University of Science and Technology,Wuhan 430074,China;National Key Laboratory of Science and Technology on Helicopter Transmission,Nanjing 210016,China;State Key Laboratory of Virtual Really Technology and Systems,Beihang University,Beijing 100191,China)

机构地区：[1]广西大学特色金属材料与组合结构全寿命安全国家重点实验室,南宁530004 [2]广西大学机械工程学院,南宁530004 [3]广西大学工程力学研究中心,南宁530004 [4]华中科技大学数字制造装备与技术国家重点实验室,武汉430074 [5]直升机传动技术国防科技重点实验室,南京210016 [6]北京航空航天大学虚拟现实技术与系统国家重点实验室,北京100191

出　　处：《航空动力学报》2025年第2期212-222,共11页Journal of Aerospace Power

基　　金：国家自然科学基金(52265004);直升机传动技术国防科技重点实验室开放基金(HTL-0-21G07);华中科技大学数字制造装备与技术国家重点实验室开放基金(DMETKF2021017);广西科技重大专项(2023AA19005)。

摘　　要：在考虑支撑刚度、时变啮合刚度、齿侧间隙、综合传动误差、轴承刚度等多种因素的前提下,建立混交面齿轮分流传动系统的非线性动力学模型,研究混交面齿轮分流传动系统的非线性动力学特性。采用Runge-Kutta积分方法对系统微分动力学方程进行求解,系统的非线性特征通过相平面图、时域图、频域图和庞加莱截面图小波分析图来描述,并用分分岔图描述外部激励频率和刚度对系统的非线性行为的影响。结果表明:在不同的外部激励和刚度作用下,系统将会呈现周期-混沌交替的运动特性。On the premise of considering many factors,such as support stiffness,time-varying meshing stiffness,tooth backlash,comprehensive transmission error,bearing stiffness,etc,the nonlinear dynamic model of blended face gear split transmission system was established.The nonlinear dynamic characteristics of mixed face gear split transmission system were studied.The differential dynamic equation of the system was solved by Runge-Kutta integral method.The nonlinear characteristics of the system were described by phase plane diagram,time domain diagram,frequency domain diagram and Poincare section wavelet analysis diagram,and the bifurcation diagram was used to describe the influences of external excitation frequency and stiffness on the nonlinear behavior of the system.The results showed that under the action of different external excitation and meshing stiffness,the system could present periodic-chaotic alternating motion characteristics.

关 键 词：非线性动力学 混交 面齿轮 分流传动 小波分析 

分 类 号：V233.1[航空宇航科学与技术—航空宇航推进理论与工程] TH113.1[机械工程—机械设计及理论]