计及空间温度效应的齿轮系统动力学行为研究

卢少波 1,3,靳宗向 2,康学忠 3

振动与冲击 ›› 2017, Vol. 36 ›› Issue (12) : 163-168.

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (12) : 163-168.
论文

计及空间温度效应的齿轮系统动力学行为研究

  • 卢少波 1,3,靳宗向 2,康学忠 3
作者信息 +

Study of dynamic behavior for gear system considering the temperature effect of space

  • LU Shaobobo1,3, JIN Zongxiang 2, KANG Xuezhong 3
Author information +
文章历史 +

摘要

在轨航天器齿轮传动机构频繁进出地球阴影区时,因温度交替变化会引起齿侧间隙改变,导致传动精度下降,甚至会造成卡死或传动中断。本文以单自由度直齿圆柱齿轮传动系统为对象,综合考虑时变啮合刚度、综合传递误差及齿侧间隙等因素的基础上,进一步引入空间特殊环境下的温度交变效应,建立了适用于空间环境的齿轮系统非线性动力学模型。采用4-5阶变步长Runge-Kutta算法,结合相图、Poincare映射图和分岔图,分别对考虑和不考虑温度交变效应的系统动力学行为进行了求解和分析,并定量研究了温度交变幅值和频率对齿轮系统动力学的影响。结果表明,环境交变温度对齿轮系统动力学影响较大,使得系统各工况都有不同程度向混沌演化的趋势,且交变的幅值和频率对系统解结构的影响呈现一定规律,相关结论对特殊环境齿轮系统的设计与匹配具有一定的指导意义。

Abstract

For gear system of on-orbit spacecraft, the backlash of gear will be varied when entering and leaving the earth shadow, which would result in the loss of transmission accuracy or even break the system. A nonlinear dynamic model of spur meshing gear pair was established by further considering the alternating temperature effect of space environment. The model also includes the effect of time-varying meshing stiffness, the transmission error and backlash of gear system. Combing the phase diagram, Poincare map and bifurcation diagram, the dynamic behaviors of gear system have been solved and analyzed for both considering and not considering the temperature effect by using 4-5 order variable step size Rung-Kutta method. The effect of changing temperature amplitude and frequency also have been studied for dynamics characteristics of the gear system quantitatively. The results show that the alternating temperature affect the gear dynamics greatly, which lead the system trend towards chaos for different condition. And some disciplines could be found about the structure of solutions between the amplitude and frequency of changing temperature. Some results of this work provides a theoretical guidance for the designing and matching of gear transmission system for special space environment.
 

关键词

齿轮系统动力学 / 温度交变 / 相图 / Poincare映射 / 分岔图

Key words

Dynamics of gear system / Alternating temperature / Phase diagram / Poincare map / Bifurcation diagram

引用本文

导出引用
卢少波 1,3,靳宗向 2,康学忠 3. 计及空间温度效应的齿轮系统动力学行为研究[J]. 振动与冲击, 2017, 36(12): 163-168
LU Shaobobo1,3, JIN Zongxiang 2, KANG Xuezhong 3. Study of dynamic behavior for gear system considering the temperature effect of space[J]. Journal of Vibration and Shock, 2017, 36(12): 163-168

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