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基于切片耦合理论的斜齿轮时变啮合刚度分析 被引量:5

Time varying meshing stiffness analysis on helical gears based on the coupled slice theory
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摘要 面向斜齿轮时变啮合刚度(time varying meshing stiffness,TVMS)精确求解问题,提出基于切片思想及切片耦合理论的斜齿轮啮合刚度计算方法。将斜齿轮沿齿宽方向等效为若干切片,每个切片等效为直齿轮,切片耦合作用等效为弹簧模型;设计了一种数值求解方法计算斜齿轮时变啮合刚度;然后,以一对斜齿轮副为例,分别使用有限元法、切片耦合法、切片无耦合法分析了斜齿轮时变啮合刚度。结果表明,切片耦合斜齿轮时变啮合刚度模型能够准确地模拟仿真斜齿轮时变啮合刚度特性,而切片无耦合斜齿轮时变啮合刚度模型在双齿过渡区不能准确地模拟斜齿轮啮合刚度。 To calculate accurately the time varying meshing stiffness(TVMS)of helical gears,the slice theory was introduced and the coupling effect among slices were analysed.Firstly,a helical gear were equivalent to a certain number of slices in the tooth width direction,each slice was further equivalent to a spur gear and the coupling effect among the slices was equivalent to a spring model.Then,a numerical method was established to estimate the TVMS of the helical gear.Finally,taking a practical helical gear pair as an example,the finite element method,the coupled slice method,the uncoupled slice method were applied respectively to obtain the TVMS.The results indicate that the coupled slice model can be used to simulate the actual engaging status of helical gears over all the meshing area,while the uncoupled slice model fails to simulate the actual engaging status of helical gears in the transition area of teeth pair meshing.
作者 朱丽莎 王奇斌 栾晓刚 袁聪 张义民 ZHU Lisha;WANG Qibin;LUAN Xiaogang;YUAN Cong;ZHANG Yimin(School of Mechanical and Automotive Engineering,Zhaoqing University,Zhaoqing 526061,China;School of Mechano-Electronic Engineering,Xidian University,Xi’an 710071,China;Jinxiang Transmission Equipment Co.,Ltd.,Huaian 223001,China;School of Mechanical Engineering&Automation,Northeastern University,Shenyang 110819,China)
出处 《振动与冲击》 EI CSCD 北大核心 2022年第10期66-71,80,共7页 Journal of Vibration and Shock
基金 国家自然科学基金面上项目(51975446,51975511) 中国博士后科学基金(2019M663624) 广东省教育厅特色创新类项目(2018KTSCX252) 广东省教育厅创新团队项目(2018KCXTD032)。
关键词 斜齿轮 时变啮合刚度(TVMS) 切片法 切片耦合 helical gear time varying meshing stiffness(TVMS) slice theory coupled slice theory
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