| 环板式针摆行星传动非线性动力学模型与方程 |
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| 引用本文： | 单丽君,于成国,何卫东.环板式针摆行星传动非线性动力学模型与方程[J].大连铁道学院学报,2010(3):37-40. |
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| 作者姓名： | 单丽君 于成国 何卫东 |
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| 作者单位： | 大连交通大学机械工程学院; |
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| 基金项目： | 国家自然科学基金资助项目(50575030) |
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| 摘 要： | 以环板式针摆行星传动为研究对象,建立了考虑时变啮合刚度、齿侧间隙、误差等因素的齿轮传动系统的非线性动力学模型,推导了系统的运动微分方程.针对系统微分方程的半正定、变参数和非线性的特点,采用以齿轮副相对啮合位移为系统的广义坐标,将线性与非线性回复力共存的方程组转化为统一的矩阵形式,并对方程进行无量纲处理,为后续的微分方程的求解做准备.
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| 关 键 词： | 环板针摆行星传动 非线性振动 齿轮动力学 |
Nonlinear Dynamics Model and Equations of Ring-Plate-Type Pin-Cycloidal Drive |
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| SHAN Li-jun,YU Cheng-guo,HE Wei-dong.Nonlinear Dynamics Model and Equations of Ring-Plate-Type Pin-Cycloidal Drive[J].Journal of Dalian Railway Institute,2010(3):37-40. |
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| Authors: | SHAN Li-jun YU Cheng-guo HE Wei-dong |
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| Institution: | SHAN Li-jun,YU Cheng-guo,HE Wei-dong(School of Mechanical Engineering,Dalian Jiaotong University,Dalian 116028,China) |
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| Abstract: | Nonlinear dynamics model of a ring-plate-type cycloid drive is established,and differential motion equations of the system are developed,considering the positive semi-definite,varying parameters and nonlinear characteristics with relative displacement of meshing gears as system generalized coordinates.Linear and non-linear restoring force coexistence equations are transformed into a unified and standardized,matrix form,for next step of solving differential equations. |
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| Keywords: | ring-plate-type cycloid drive nonlinear vibration gear dynamic |
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