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论文:2017,Vol:35,Issue(2):232-239 |
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引用本文： |
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袁冰, 常山, 吴立言, 刘更, 陈策. 对角修形对斜齿轮系统准静态及动态特性的影响研究[J]. 西北工业大学学报 |
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Yuan Bing, Chang Shan, Wu Liyan, Liu Geng, Chen Ce. Effect of Cross Modification on the Quasi-Static and Dynamic Characteristics of Helical Gear System[J]. Northwestern polytechnical university |
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| 对角修形对斜齿轮系统准静态及动态特性的影响研究 |
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| 袁冰1, 常山1,2, 吴立言1, 刘更1, 陈策3 |
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1. 西北工业大学 陕西省机电传动与控制工程实验室, 陕西 西安 710072;
2. 中国船舶重工集团 第七○三研究所, 黑龙江 哈尔滨 150078;
3. 陆航研究所 机体发动机室, 北京 101121 |
| 摘要: |
| 基于齿面承载接触分析方法，建立了斜齿轮副啮合刚度和轮齿修形耦合非线性激励计算模型，研究了对角修形对齿面载荷分布、综合啮合刚度以及承载传递误差的影响。基于Timoshenko梁理论建立了考虑轴段变形的斜齿轮-转子-轴承系统广义有限元模型，通过分离系统传递误差激振力，将系统参变微分方程组转化为定常微分方程组，实现了快速求解。以传递误差激振力波动量最小为优化目标，采用图解法得到了最佳对角修形参数。研究表明：对于修形齿轮副，啮合刚度波动量并不是影响齿轮传动系统振动的主导因素，传递误差激振力波动量的大小决定了系统振动的剧烈程度；对角修形不仅对轮齿刚度的削弱程度较小，而且可以显著降低动态传递误差均方根值和轴承动载荷波动量，进而降低系统振动噪声。 |
| 关键词:
斜齿轮
对角修形
啮合刚度
传递误差
轴承动载荷
傅里叶级数
均方差
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| Effect of Cross Modification on the Quasi-Static and Dynamic Characteristics of Helical Gear System |
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| Yuan Bing1, Chang Shan1,2, Wu Liyan1, Liu Geng1, Chen Ce3 |
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1. Shaanxi Engineering Laboratory for Transmissions and Controls, Northwestern Polytechnical University, Xi'an 710072, China;
2. China Shipbuilding Industry Corporation 703 Institute, Harbin 150078, China;
3. Helicopter and Engine Department, Army Aviation Institution, Beijing 101121, China |
| Abstract: |
| A nonlinear excitation model coupling mesh stiffness and tooth modification is established based on loaded tooth contact analysis method. The effects of cross modification on load distribution, mesh stiffness and loaded transmission error of helical gear are investigated. Considering shaft deflection, a generalized finite element model of helical-rotor-bearing system is developed based on Timoshenko beam theory. By separating transmission error exciting force, the differential equation with variable coefficients is transformed into ordinary differential equation, so the equation is solved fast. The best cross modification parameters are obtained based on graphical method with the objective of minimum of fluctuation of transmission error exciting force. The results show that mesh stiffness fluctuation is not the dominant factor affecting the vibration of gear transmission with modification, the system vibration is determined by the fluctuation of transmission error exciting force, and the cross modification not only weakens the gear mesh stiffness less, but also decreases the mean square error of dynamic transmission error and the fluctuation of dynamic bearing load significantly, thereby reduces gear transmission vibration and noise. |
| Key words:
helical gear
cross modification
mesh stiffness
transmission error
dynamic bearing load
Fourier series
mean square error
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| 收稿日期: 2016-09-27
修回日期:
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| DOI: |
| 基金项目: 国家自然科学基金重点项目（51535009）与高等学校学科创新引智计划（B13044）资助 |
| 通讯作者:
Email： |
| 作者简介: 袁冰(1987-),西北工业大学博士研究生,主要从事齿轮啮合理论及机械系统动力学研究。
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| 作者相关文章 |
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| 袁冰 在本刊中的所有文章 |
| 常山 在本刊中的所有文章 |
| 吴立言 在本刊中的所有文章 |
| 刘更 在本刊中的所有文章 |
| 陈策 在本刊中的所有文章 |
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参考文献: |
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