论文:2018,Vol:36,Issue(6):1085-1092
引用本文:
袁冰, 常山, 刘更, 刘岚, 常乐浩. 斜齿轮修形对负载扭矩和啮合错位的敏感性[J]. 西北工业大学学报
Yuan Bing, Chang Shan, Liu Geng, Liu Lan, Chang Lehao. Sensitivity Analysis of Helical Gears with Tooth Surface Modification to Applied Torque and Gear Misalignment[J]. Northwestern polytechnical university

斜齿轮修形对负载扭矩和啮合错位的敏感性
袁冰1, 常山1,2, 刘更1, 刘岚1, 常乐浩3
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七〇三研究所, 黑龙江 哈尔滨 150078;
3. 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
摘要:
基于齿面承载接触分析方法,建立了修形斜齿轮时变啮合刚度、静态传递误差和综合啮合误差计算模型。以系统振动激振力波动量最小为目标,确定了设计负载扭矩和理想啮合状况下3种修形方式的最佳修形参数,并分析了3种修形方式对斜齿轮时变啮合刚度、静态传递误差以及综合啮合误差的影响。通过考察宽范围负载扭矩和啮合错位影响下的修形斜齿轮系统振动激振力和动态传递误差,分析了3种修形方式对负载扭矩和啮合错位的敏感性。研究表明:采用不同修形方式的斜齿轮时变啮合刚度、静态传递误差以及综合啮合误差差别较大,然而系统振动激振力波动量均得到了显著降低。当负载扭矩大于设计扭矩时,3种修形方式仍有较好减振效果。当负载扭矩过小时,3种修形方式的齿轮系统振动将大于未修形齿轮系统,且共振转速略有降低。随着啮合错位量的增加,系统共振转速逐步降低,且3种修形方式的减振效果均逐渐降低,直至不再具有减振效果。研究结果可为进一步建立齿面修形稳健设计方法提供有效参考。
关键词:    修形方式    啮合刚度    传递误差    啮合错位    敏感性   
Sensitivity Analysis of Helical Gears with Tooth Surface Modification to Applied Torque and Gear Misalignment
Yuan Bing1, Chang Shan1,2, Liu Geng1, Liu Lan1, Chang Lehao3
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. Key Laboratory of Road Construction Technology and Equipment of Ministry of Education, Chang'an University, Xi'an 710064, China
Abstract:
The numerical calculation model of time-varying mesh stiffness, static transmission error and composite mesh error of modified helical gears is developed based on loaded tooth contact analysis (LTCA) model. To minimize the fluctuation of vibration excitation force, the optimal modification parameters of three modification methods under designed applied torque and ideal tooth contact condition are determined, and the effects of three modification methods on time-varying mesh stiffness, static transmission error and composite mesh error are analyzed. In order to analyze the sensitivity of the three modification methods to applied torque and gear misalignment, the effects of applied torque in wide range and gear misalignment on vibration excitation force and dynamic transmission error are investigated. The results show that the difference of time-varying mesh stiffness, static transmission error, composite mesh error of helical gears with different modifications methods are obvious. However, the fluctuation of vibration excitation force of helical gears is reduced significantly. When the applied torque is higher than the designed applied torque, the three modification methods show a great reduction of system vibration. When the applied torque is too low, the vibration of modified helical gears is larger than unmodified ones. Meanwhile, the resonance speed of the helical gears is slightly lower. With the increase of gear misalignment, the resonance speed becomes lower correspondingly and the effect of the three modification methods on the reduction of vibration excitation force is not obvious any more. The results can provide effective reference for establishing robust optimization method for tooth surface modification.
Key words:    modification method    mesh stiffness    transmission error    gear misalignment    sensitivity analysis   
收稿日期: 2017-12-05     修回日期:
DOI:
基金项目: 国家自然科学基金(51535009,51605040)与高等学校学科创新引智计划(B13044)资助
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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和机械系统动力学研究。
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