变速箱行星齿轮的分岔特性分析
Bifurcation characteristics of planet gear in gear box
贺春辉 1杨嘉骏 1向雷 1秦利军1
作者信息
- 1. 长安大学 道路施工技术与装备教育部重点实验室,陕西 西安 710064
- 折叠
摘要
针对变速箱多级齿轮传动系统产生的噪声问题,以非线性动力学理论为基础,对齿轮传动系统的振动响应状态进行预测与控制.以某变速箱一档齿轮传动系统为研究对象,建立动力学微分方程,对其分岔特性与稳定性进行研究,得到位移相图和poincare图,分析了激励频率、功率、啮合阻尼对齿轮系统分岔特性和运动稳定性的影响.结果表明,在保证系统传递效率的前提下,转速不变时选择较大的功率与适当提高啮合阻尼对分岔特性有积极影响,可以弱化混沌运动,提高系统稳定性,为变速箱齿轮优化设计分析奠定理论基础.
Abstract
Based on the nonlinear dynamic theory,the vibration response state of the gear transmission system is predicted and controlled.Taking the first gear transmission system of a gear box as the research object,the dynamic differential equa-tion is established to study its bifurcation characteristics and stability.The displacement phase diagram and the Poincare dia-gram are obtained.The influence of excitation frequency,power and mesh damping on the bifurcation characteristics and mo-tion stability of the gear system is analyzed.The results show that under the premise of guaranteeing the transmission efficien-cy of the system,larger power and higher mesh damping have a positive impact on the bifurcation characteristics.The chaotic motion is weakened and the system stability is improved,which lays a theoretical foundation for further optimization of the design of the gear box.
关键词
变速箱/非线性动力学理论/分岔特性/混沌运动Key words
gear box/nonlinear dynamic theory/bifurcation characteristics/chaotic motion引用本文复制引用
出版年
2024