| 引用本文: | 赵宁,秋朋园,刘贵立.高重合度人字齿轮传动动态性能优化设计.[J].国防科技大学学报,2015,37(2):166-174.[点击复制] |
| ZHAO Ning,QIU Pengyuan,LIU Guili.Optimized design of dynamic behavior of double helical gears with high contact ratio[J].Journal of National University of Defense Technology,2015,37(2):166-174[点击复制] |
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| 高重合度人字齿轮传动动态性能优化设计 |
| 赵宁, 秋朋园, 刘贵立 |
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(西北工业大学 机电学院，陕西 西安 710072)
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| 摘要: |
| 对人字齿轮传动进行高重合度设计的分析，基于人字齿轮副承载接触分析技术，针对人字齿轮传动中主动小齿轮轴向浮动安装的特点，综合考虑齿轮时变啮合刚度、啮合冲击激励及误差激励等因素的影响，采用集中质量法建立了考虑修形的人字齿轮副弯-扭-轴耦合非线性振动模型，推导了系统无量纲运动微分方程，求解得到齿轮传动系统的振动加速度。以齿轮的振动加速度均方根值为优化的目标函数，针对该类复杂实际工程优化设计中适应值计算费时的缺点，提出了一种改进的具有适应值预测机制的遗传算法，优化得到了人字齿轮的基本设计参数及修形参数，提高了计算效率,通过实例分析验证了该优化方法的有效性。对加工的人字齿轮在减振降噪试验台上进行带载试验，对比优化前后的噪音分贝值，进一步验证了该优化方法对齿轮副减振降噪具有一定作用。 |
| 关键词: 人字齿轮 高重合度 动态性能 抛物线修形 遗传算法 噪音 |
| DOI：10.11887/j.cn.201502030 |
| 投稿日期：2014-09-01 |
| 基金项目: |
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| Optimized design of dynamic behavior of double helical gears with high contact ratio |
| ZHAO Ning, QIU Pengyuan, LIU Guili |
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(College of Mechanical, Northwestern Polytechnical University, Xi’an 710072,China)
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| Abstract: |
| Considering the design of high contact ratio of double helical gears, based on the loaded tooth contact analysis technology, the bending-torsional-axial coupling dynamic model of modification double helical gears was established with the concentrated parameter method in the consideration of the special axial floating installation characteristics of pinion, the stiffness excitation, error excitation and meshing impact excitation. The dynamic equations were deduced by the newton method and the vibration acceleration of gear transmission system was obtained. A fitness approximation genetic algorithm was introduced to dispose the problem of time waste in calculating fitness. The root mean square of vibration acceleration was selected to be object function to optimize the basic design parameters and parabola modification coefficient by the fitness approximation genetic algorithm. 〖JP〗The effectiveness of the optimization method was confirmed by the given example. In the end, the noise values of original gears and optimization ones obtained by the loaded test further verify that the optimal method has certain effects on the noise reduction of gears. |
| Keywords: double helical gear high contact ratio dynamic performance parabola modification genetic algorithm noise |
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