| 单自由度齿轮系统非线性动力学特性分析 |
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| 引用本文： | 苏程,黄志丹.单自由度齿轮系统非线性动力学特性分析[J].兰州大学学报(自然科学版),2012,48(2):117-121. |
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| 作者姓名： | 苏程 黄志丹 |
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| 作者单位： | 兰州交通大学机电工程学院,兰州,730070 |
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| 基金项目： | 甘肃省自然科学基金项目(0803RJZA012);兰州交通大学青年科学基金项目(2011016) |
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| 摘 要： | 建立了综合考虑齿侧间隙、时变啮合刚度、综合啮合误差等因素的直齿轮副的单自由度非线性动力学模型,利用变步长Runge-Kutta法对单自由度运动微分方程进行数值求解.结合系统的分岔图、相图、Poincaré映射图以及FFT频谱图,分析了系统在不同侧隙值下,阻尼比变化时的动力学特性,得到了系统的混沌运动形成过程.
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| 关 键 词： | 非线性动力学 混沌 分岔 齿轮 |
Analysis of the nonlinear dynamics in a single-degree-of-freedom spur gear pair system |
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| SU Cheng
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HUANG Zhi-dan.Analysis of the nonlinear dynamics in a single-degree-of-freedom spur gear pair system[J].Journal of Lanzhou University(Natural Science),2012,48(2):117-121. |
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| Authors: | SU Cheng HUANG Zhi-dan |
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| Institution: | School of Mechanical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China |
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| Abstract: | A nonlinear dynamic model for a spur gear pair system was established wherein the backlash and the time-varying stiffness and the transmission error were considered.The nonlinear single-degree-of-freedom equations were solved by employing the variable step-size Runge-Kutta integration method.The nonlinear dynamic characteristics of the system were discussed for different clearance values based on bifurcation diagrams, phase portraits,Poincare maps and Fourier spectra.Finally,the chaotic motion was obtained. |
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| Keywords: | nonlinear dynamic chaos bifurcation gear |
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