{"title":"General Meshing Modeling and Dynamic Characteristics Analysis of Helical Gear Pair with Tooth Surface Deviation","authors":"Jiajun Chen, Rupeng Zhu, Weifang Chen, Miaomiao Li, Xunmin Yin, Xiaoxu Zhang","doi":"10.1007/s40997-024-00751-4","DOIUrl":null,"url":null,"abstract":"<p>Pitch error and tooth surface error are inevitable in the machining of helical gears, which will directly impact the time-varying meshing stiffness (TVMS) and transmission error (TE), thereby altering the vibration response of the gear. However, these errors are often ignored or replaced by simplified meshing errors in previous research, which cannot accurately reflect the specific effects of different errors. In this work, the distribution of various errors on the meshing surface of helical gears is fully considered, and a nonlinear contact model for helical gears with errors is established. The influence mechanisms of different errors on meshing excitation are elucidated through quasi-static meshing analysis. By incorporating the deformation coordination relationship of the meshing unit at each time sub-step, the corresponding TVMS and TE are coupled to the gear transmission in real-time, and a dynamic model influenced by tooth surface deviation is established. Finally, the time–frequency domain and dynamic load characteristics of the system under different errors are explored and the influence of mixed modification on the dynamic response of helical gears is analyzed. The findings reveal that the modification has a notable suppression effect on load fluctuation, underscoring the generality of the model for unconventional gears.</p>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s40997-024-00751-4","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Pitch error and tooth surface error are inevitable in the machining of helical gears, which will directly impact the time-varying meshing stiffness (TVMS) and transmission error (TE), thereby altering the vibration response of the gear. However, these errors are often ignored or replaced by simplified meshing errors in previous research, which cannot accurately reflect the specific effects of different errors. In this work, the distribution of various errors on the meshing surface of helical gears is fully considered, and a nonlinear contact model for helical gears with errors is established. The influence mechanisms of different errors on meshing excitation are elucidated through quasi-static meshing analysis. By incorporating the deformation coordination relationship of the meshing unit at each time sub-step, the corresponding TVMS and TE are coupled to the gear transmission in real-time, and a dynamic model influenced by tooth surface deviation is established. Finally, the time–frequency domain and dynamic load characteristics of the system under different errors are explored and the influence of mixed modification on the dynamic response of helical gears is analyzed. The findings reveal that the modification has a notable suppression effect on load fluctuation, underscoring the generality of the model for unconventional gears.
螺距误差和齿面误差在斜齿轮加工中不可避免,它们将直接影响时变啮合刚度(TVMS)和传动误差(TE),从而改变齿轮的振动响应。然而,在以往的研究中,这些误差往往被忽略或被简化的啮合误差所替代,无法准确反映不同误差的具体影响。本研究充分考虑了各种误差在斜齿轮啮合面上的分布,并建立了带误差斜齿轮的非线性接触模型。通过准静态啮合分析,阐明了不同误差对啮合激励的影响机制。结合啮合单元在每个时间子步骤的变形协调关系,将相应的 TVMS 和 TE 与齿轮传动实时耦合,建立了受齿面偏差影响的动态模型。最后,探讨了不同误差下系统的时频域和动载特性,分析了混合修正对斜齿轮动态响应的影响。研究结果表明,混合改性对载荷波动有显著的抑制作用,突出了该模型对非常规齿轮的通用性。
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.