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三环传动弹性啮合效应的研究

A Study on Elastic Meshing Effect of Three-ring Gear Drives

【作者】 应广驰

【导师】 张策;

【作者基本信息】 天津大学 , 机械设计及理论, 2004, 硕士

【摘要】 三环传动是我国科技人员发明的新型少齿差内啮合行星齿轮传动,这种传动方式原理新颖,具有传动比大,承载能力强,体积小,结构简单等诸多优点,在很多领域已得到了应用。三环传动在足够大的载荷作用下,实际接触齿数会大于按重合度算出的理论啮合齿数。这是因为,在少齿差内啮合齿轮传动中,与处于啮合位置的齿对前后都相邻的几个齿对在进入啮合之前和脱离啮合之后,其内外齿轮的齿廓工作面间的间隙非常小;在施加载荷后,齿对的弹性变形有可能大于工作齿廓间隙,这些齿对就要发生接触并同时分担载荷,从而提高了齿轮传动的承载能力。我们将啮合齿轮因弹性变形多齿承载引起的齿轮承载能力提高的现象称为弹性啮合效应。因此,进行三环传动弹性啮合效应的研究,对提高三环减速器的承载能力,缩小齿轮和整机尺寸,降低制造成本具有重要意义。本文在考虑内外齿轮工作齿廓理论间隙、轮齿弹性变形的基础上,建立了三环传动弹性啮合的理论分析模型,得到了同时啮合的齿对数和各齿对上的载荷分配情况。提出了在齿轮的强度计算中计及弹性啮合效应的方法,分析了齿轮主要设计参数对弹性啮合效应的影响。同时首次提出了按弯曲静强度校核的方法考虑制造误差对弹性啮合效应的影响。引入弹性啮合效应新设计了一台三环减速器,对弹性啮合效应进行了实验验证。针对原重庆钢铁研究院型号系列表的不足之处,本课题组在齿轮强度计算中引入弹性啮合效应,并按标准等比级数分配传动比和中心距系列,设计了一套新产品型号系列表,经比较,其承载能力比相同规格的原有型号减速器有大幅度提高。本项研究的成果极大地发掘了三环传动的潜力,将使这一新型传动型式获得更为广泛的应用。

【Abstract】 The three-ring gear drive is a novel kind of internal planetary transmission withsmall tooth number difference. This kind of gear drive has some distinguishadvantages, such as large speed-reduction ratio, high load capability, compact volumeand simple structure, etc, which make the gear drive be used in many fields. When the three-ring gear drive is bearing rather heavy load, the actualcontact tooth number will exceed the theoretic contact tooth number calculatedby contact ratio. This phenomenon can be explained that in such a mechanism theclearances between working profiles of each non-contact tooth pair near theaction line are very small, and when the gears are applied of load, thedeformation of the contact tooth pair may be greater than the clearances, so thesenon-contact tooth pairs will come into contacting and share the total load. Thusthe bearing capacity of three-ring gear drive is increased by this phenomenon, whichmay be called Elastic Meshing Effect (EME). It is of great significance to carryout the study on EME of three-ring gear drive to increase the bearing capacity,minimize the volume and reduce the cost. On the basis of an analysis of theoretic clearances and teeth deformation, amathematic model was developed in this thesis to describe the state of multi-toothcontacting and load distribution, and a method was proposed to involve the EME ingear strength evaluation. For considering the influence of manufacturing errors, amethod of static strength evaluation was presented for the first time. The influence onEME of design parameters was investigated. Bearing capacity experiment was carriedout in order to verify the theoretic analysis. Considered the EME, a new set of three-ring gear drive model series, whosecentral distances and speed-reduction ratios were ranged by standard geometricalseries, was designed by the research team. The comparison between the new modeland the old revealed that the bearing capacity has been improved a lot.

  • 【网络出版投稿人】 天津大学
  • 【网络出版年期】2004年 04期
  • 【分类号】TH132
  • 【被引频次】38
  • 【下载频次】304
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