RESEARCH ADVANCES FOR NONLINEAR VIBRATION OF GEAR TRANSMISSION SYSTEMS
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摘要: 围绕圆柱齿轮系统的参数振动和间隙非线性振动问题, 较为详细地评述了20年来国际上的研究进展情况. 文中首先说明了齿轮系统啮合过程非线性振动的基本概念, 包括基本的力学模型、数学模型、不同类型的分析系统和求解方法; 然后分别评述了时变轮齿啮合刚度参数振动问题和齿侧间隙非线性振动问题的研究进展. 此后讨论了同时包含齿侧间隙和时变啮合刚度时齿轮非线性振动问题方面的研究. 最后,建议了齿轮系统非线性振动方面今后的研究重点.Abstract: In this paper, the progress in nonlinear dynamics of gear driven systems inthe past twenty years is discussed, especially the gear dynamic behaviorwith consideration of the backlash and time-varying mesh stiffness of tooth. Thebasic concepts, the mathematical models and the solution methods for thenon-linear dynamics of geared systems are then reviewed. The critical issuesin the further research on the nonlinear vibration in gear transmissionsystems are also discussed.
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