| 直齿圆柱齿轮副动力学特性分析 |
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| 引用本文： | 田亚平. 直齿圆柱齿轮副动力学特性分析[J]. 兰州交通大学学报, 2014, 0(4): 196-202 |
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| 作者姓名： | 田亚平 |
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| 作者单位： | 兰州交通大学机电工程学院,甘肃兰州730070 |
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| 基金项目： | 甘肃省自然科学基金（1208RJZAlll） |
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| 摘 要： | 利用拉格朗日方程建立了含间隙直齿圆柱齿轮副的动力学模型,通过齿轮轮齿弹性变形的原理数值计算建立了时变刚度的数学模型.利用4~5阶Runge-Kutta数值积分法对系统进行了数值求解.结合Poincaré映射图、相图、FFT频谱图、系统分岔图分析了系统随激励频率和阻尼变化时的动力学行为,发现了其稳定周期运动和倍周期运动及混沌运动.通过齿轮冲击模型数值计算,找出了不同初值情况下的冲击状态.
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| 关 键 词： | 非线性动力学 分岔 冲击状态 齿轮副 |
Dynamic Characteristics Analysis of Spur Cylindrical Gear Pairs |
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| TIAN Ya-ping. Dynamic Characteristics Analysis of Spur Cylindrical Gear Pairs[J]. Journal of Lanzhou Jiaotong University, 2014, 0(4): 196-202 |
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| Authors: | TIAN Ya-ping |
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| Affiliation: | TIAN Ya-ping (School of Meehatronic Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China) |
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| Abstract: | A nonlinear dynamic modeling for spur gear pair with the clearance is established by La-grange equation.The time-varying stiffness＆#39;mathematical model is established by the numerical calculation for principle of gear tooth deformation.The nonlinear dynamic equations are solved by employing variable step size 4~5 order Runge-kutta integration method and the bifurcation dia-grams are obtained.The nonlinear dynamics characteristics of the system are discussed for the variation of the exciting frequency or damping and classified based on bifurcation diagrams,phase portraits,Poincar＆#233;maps and FFT spectrum.The stable period motion,double period motion and chaotic motion are found.The gear impact state under different initial values is found by the nu-merical calculated for gear impact model. |
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| Keywords: | nonlinear dynamics bifurcation gear impact state gear pair |
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