Nonlinear dynamic characteristics analysis of herringbone gear transmission system with tooth root crack

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-12-27 DOI:10.1016/j.cnsns.2024.108572

Shuai Mo, Dongdong Wang, Boyan Chang, Xinhao Zhao, Haruo Houjoh

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Abstract

Herringbone gears have been widely used in high-speed and heavy-duty fields such as ships, aerospace and automobiles due to their outstanding bearing capacity, high contact ratio, small axial force and stable transmission. Under the factors such as high speed and heavy load, the gear may crack at the root of the tooth, which affects the normal operation of the gear system. In this paper, the herringbone gear transmission system is taken as the research object, and the nonlinear dynamic model of the herringbone gear transmission system considering cracks is established under various excitation factors. According to the potential energy method, the time-varying meshing stiffness of the herringbone gear transmission system considering the root crack is calculated, and the stiffness variation law under different crack parameters is analyzed. The Runge-Kutta method is used to solve the dynamic differential equation. Combined with the overall bifurcation diagram, local time history diagram, frequency domain diagram, phase diagram and Poincaré section, the influence of different excitation frequencies and crack damage on the nonlinear dynamic characteristics of herringbone gear transmission system is analyzed.

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含齿根裂纹的人字齿轮传动系统非线性动态特性分析

人字齿轮具有承载能力突出、接触比高、轴向力小、传动稳定等优点，广泛应用于船舶、航空航天、汽车等高速重载领域。在高速、重载等因素作用下，齿轮可能在齿根处产生裂纹，影响齿轮系统的正常工作。本文以人字齿轮传动系统为研究对象，建立了考虑裂纹的人字齿轮传动系统在各种激励因素下的非线性动力学模型。根据势能法，计算了考虑根裂纹的人字齿轮传动系统时变啮合刚度，分析了不同裂纹参数下的刚度变化规律。采用龙格-库塔法求解动力微分方程。结合总体分岔图、局部时程图、频域图、相位图和庞卡罗剖面，分析了不同激励频率和裂纹损伤对人字齿轮传动系统非线性动态特性的影响。

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.