考虑接触面摩擦的柔性套齿连接结构刚度数值建模与非线性机理分析

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关键词：套齿连接结构；刚度特性；接触-摩擦模型；数值建模

中图分类号：V231.96

DOI：10.3969/j.issn.1004-132X.2026.02.008 开放科学（资源服务）标识码（OSID）：

Numerical Modeling and Nonlinear Mechanism Analysis of Spline Coupling Stiffness Considering Contact Surface Friction

JIANG Ke1 YU Pingchao1.2* YAN Xunjin³ ZHENG Huaqiang4 JIANG Zihan1TAO Xuanjun1

1.College of Civil Aviation，Nanjing University of Aeronautics and Astronautics，Nanjing，210016

2.Key Laboratory of Civil Aviation Aircraft Health Monitoring and Intelligent Maintenance，Nanjing University of Aeronautics and Astronautics，Nanjing，210016 3.Nantong Airport Group Co. Ltd.，Nantong，Jiangsu，226371 4.AECC Hunan Aviation Powerplant Research Institute，Zhuzhou，Hunan，412002

Abstract： Taking the flexible spline coupling structure of an engine as the research object，a contactfriction model was introduced at the meshing points of allshaft segment in the spline coupling.Combined with the geometric relationships of the structure，force equilibrium conditions，and numerical iteration methods，a modeling and calculation approach for the nonlinear stiffess of the spline couplings was proposed. The high solving eficiency and accuracy of the proposed calculation method were validated through comparisons with ANSYS finite element model results and experimental results. Using the proposed method， detailed analyses were conducted on the nonlinear stifesscharacteristics of the spline couplings and the influence patterns of key parameters. The intrinsic mechanism of the nonlinear stiffness variation was revealed by combining the changing paterns of contact states in the meshing tooth pairs.Results indicate that the stiffness of the spline coupling structures gradually decreases with the increasing linear displacement， while the decreasing rate progressively diminishes. The reduction in contact area of meshing teeth during this process was identified as the fundamental cause of the stiffessdegradation.The stiffness of the spline couplings shows improvement with the increase of the friction coeffcient，the meshing stifness，the spline width，and the applied torque.Among these parameters，the torque exhibits the most significant influence.

Key words： spline connection; stiffness characteristic ； contact-friction model;numerical modeling

0 引言

套齿连接结构由于承载能力强、结构简单紧凑、可靠性高且易于安装拆卸等优点而被广泛应用于航空发动机低压转子的风扇轴和涡轮轴连接[。（剩余14982字）