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球面漸開(kāi)線斜齒錐齒輪切齒法研究

發(fā)布時(shí)間:2018-05-04 18:00

  本文選題:球面漸開(kāi)線 + 錐齒輪; 參考:《吉林大學(xué)》2011年碩士論文


【摘要】:本論文分析現(xiàn)有螺旋錐齒輪齒面形成原理,根據(jù)美國(guó)格里森公司錐齒輪機(jī)床設(shè)計(jì)原理來(lái)分析其兩代錐齒輪切齒機(jī)床的傳動(dòng)結(jié)構(gòu)。通過(guò)對(duì)延伸外擺線齒錐齒輪的分析,研究奧利康螺旋錐齒輪及其切齒方法。從錐齒輪齒面設(shè)計(jì)原理上分析得出現(xiàn)有的螺旋錐齒輪齒面嚙合存在理論誤差,格里森錐齒輪及奧利康錐齒輪的嚙合面都是近似共軛曲面,現(xiàn)有許多關(guān)于錐齒輪的著作中不乏一階、二階共軛曲面的函數(shù)推導(dǎo),其目的是得到偏差盡可能小的共軛曲面。由于原理上是根據(jù)近似齒形設(shè)計(jì)的,其傳動(dòng)誤差無(wú)法消除。并且齒面函數(shù)關(guān)系式表述復(fù)雜,實(shí)際切齒實(shí)現(xiàn)困難。 球面漸開(kāi)線齒形的錐齒輪齒面即為不同半徑球面漸開(kāi)線所組成的漸開(kāi)螺旋錐面,擁有球面漸開(kāi)線齒形的錐齒輪齒面在嚙合傳動(dòng)時(shí)瞬時(shí)傳動(dòng)比恒定,且共軛曲面接觸方式為線接觸。本論文以錐齒輪中的斜齒作為設(shè)計(jì)對(duì)象,即在與基圓錐作純滾動(dòng)的圓平面Q中的一條斜直線為齒輪齒線,故由斜直線展成的空間軌跡為一直紋螺旋曲面。根據(jù)節(jié)圓錐和壓力角可以確定一對(duì)交角為90度的錐齒輪副的基圓錐,空間中與兩個(gè)基圓錐都相切的圓平面Q分別繞兩基圓錐作純滾動(dòng),圓平面Q上的一條斜直線所掃過(guò)的軌跡即為兩共軛的漸開(kāi)螺旋錐面,該斜直線由齒輪螺旋角大小及齒寬長(zhǎng)度確定。用軟件Matlab驗(yàn)證球面漸開(kāi)線斜齒錐齒輪嚙合的正確性,并在Catia中進(jìn)行齒輪建模,通過(guò)正確的裝配關(guān)系驗(yàn)證兩共軛曲面在其嚙合面內(nèi)的接觸方式為線接觸。并對(duì)輪齒齒面所受作用力進(jìn)行推導(dǎo)。 本論文結(jié)合產(chǎn)形線切齒法的特點(diǎn),將其運(yùn)用于球面漸開(kāi)線斜齒錐齒輪的切削加工中,用盤銑刀作為切削刀具。根據(jù)漸開(kāi)螺旋錐面的展成特點(diǎn)提出不同的切齒運(yùn)動(dòng)方案,以錐齒輪工件和盤銑刀的四軸聯(lián)動(dòng)實(shí)現(xiàn)輪齒的切削。通過(guò)運(yùn)動(dòng)合成原理,推導(dǎo)產(chǎn)形線在刀刃改變旋轉(zhuǎn)中心后右旋和左旋斜直齒錐齒輪右側(cè)齒面和左側(cè)齒面的運(yùn)動(dòng)方程。 根據(jù)切削運(yùn)動(dòng)的需要,本論文詳細(xì)介紹切齒機(jī)床的各個(gè)結(jié)構(gòu)件及其傳動(dòng)關(guān)系,并定義機(jī)床的固定坐標(biāo)系及相對(duì)坐標(biāo)系,并在計(jì)算機(jī)上用Catia進(jìn)行機(jī)床的建模。給出單側(cè)齒輪加工過(guò)程,推導(dǎo)所需調(diào)整機(jī)床各軸參數(shù)。 在軟件Catia中對(duì)切齒過(guò)程所需各軸及盤銑刀進(jìn)行建模,并用軟件MSCSimdesigner R2 for CATIA V5R17將裝配好的模型導(dǎo)入仿真軟件Adams中,在Adams中根據(jù)推導(dǎo)出的運(yùn)動(dòng)公式定義各軸的驅(qū)動(dòng),通過(guò)盤銑刀及錐齒輪工件的仿真運(yùn)動(dòng)切削出漸開(kāi)螺旋錐面。 本論文中所論證的球面漸開(kāi)線斜齒錐齒輪的核心方法、機(jī)床及加工技術(shù)已申報(bào)國(guó)家發(fā)明專利:《螺旋錐齒輪切齒機(jī)床與切齒方法》,申請(qǐng)?zhí)枺?00910217972.5。國(guó)家知識(shí)產(chǎn)權(quán)局的第一次審查意見(jiàn)已通過(guò)包括主權(quán)利要求等六條權(quán)利要求。 由于機(jī)床制造時(shí)間所限,本論文中所設(shè)計(jì)的螺旋錐齒輪切齒機(jī)床正在裝配中,并準(zhǔn)備在機(jī)床裝配調(diào)試結(jié)束后進(jìn)行切齒實(shí)驗(yàn)。
[Abstract]:This paper analyzes the forming principle of the spiral bevel gear tooth surface, analyzes the transmission structure of the two generation bevel gear cutting machine based on the design principle of the Gleason Corp bevel gear machine. Through the analysis of the extended Cycloid Bevel gear, the olicam spiral bevel gear and its tooth cutting method are studied. The design principle of the bevel gear tooth surface is analyzed. There are theoretical errors in the tooth surface meshing of spiral bevel gears, and the meshing surfaces of Gleason bevel gear and olcone cone gear are almost conjugate surfaces. There are many existing books about bevel gears, and the function derivation of the two order conjugate surfaces is to obtain a conjugate surface with as little deviation as possible. The transmission error can not be eliminated in the design of approximate tooth profile, and the expression of tooth surface function relation is complex, and the actual tooth cutting is difficult to realize.
The surface of a spherical involute tooth shaped bevel gear is an involute involute conical surface composed of different radius spherical involutes. The surface of the bevel gear with a spherical involute tooth profile is constant while the contact mode of the conjugate surface is line contact. In this paper, the skew teeth in the bevel gear are used as the design object, that is, the conical cone. An oblique line in the pure rolling circular plane Q is a gear tooth line, so the space trajectory developed by the oblique line is a spiral curved surface. According to the conus and pressure angle, a pair of cones of a pair of conical gear pairs with 90 degrees of intersection can be determined. The circular plane Q that is tangent to the cones in the space is pure rolling, Yuan Ping, respectively. The trajectory swept by an oblique line on the surface Q is a two conjugate involute spiral cone. The oblique line is determined by the size of the helical angle of the gear and the length of the tooth width. The correctness of the meshing of the spherical involute bevel gear is verified by software Matlab, and the gear modeling is carried out in Catia, and the correct assembly relations verify that the two conjugate surface is meshed in its meshing. The contact mode in the joint is linear contact, and the force acting on the tooth surface of the gear tooth is deduced.
In this paper, combined with the characteristics of the shape cutting tooth method, the disc milling cutter is used as cutting tool in the machining of spherical involute helical bevel gear. According to the characteristics of the involute spiral cone surface, the different gear cutting motion scheme is proposed. The cutting of the gear teeth is realized by the four axis linkage of the bevel gear workpiece and the disc milling cutter. The equations of motion for the right side and the left side of the right and left skew straight bevel gears are derived.
According to the needs of cutting motion, this paper introduces the structure and transmission relationship of the gear cutting machine in detail, and defines the fixed coordinate system and the relative coordinate system of the machine tool. The machine tool is modeled with Catia on the computer. The processing process of the single side gear is given, and the parameters of each axis of the machine need to be adjusted.
In software Catia, each axle and disc cutter needed for the cutting process is modeled, and the software MSCSimdesigner R2 for CATIA V5R17 is used to import the assembled model into the simulation software Adams, and the drive of each axis is defined in Adams according to the derived motion formula, and the involute spiral cone is cut through the simulation motion of the disc milling cutter and the cone gear wheel. Noodles.
The core method of the spherical involute helical bevel gear in this paper, the machine tool and the processing technology have declared the national invention patent: < spiral bevel gear cutting machine and the tooth cutting method >, the application number: the first review of the 200910217972.5. State Intellectual Property Office has included six rights requirements including the main rights requirements.
Because of the limit of machine tool manufacturing time, the spiral bevel gear cutting machine designed in this paper is in the assembly, and is ready to carry out the tooth cutting experiment after the end of the machine tool assembly and debugging.

【學(xué)位授予單位】:吉林大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2011
【分類號(hào)】:TH132.41

【引證文獻(xiàn)】

相關(guān)博士學(xué)位論文 前1條

1 李櫟楠;產(chǎn)形線切齒法加工準(zhǔn)雙曲面齒輪研究[D];吉林大學(xué);2011年

相關(guān)碩士學(xué)位論文 前1條

1 宋靖安;螺旋錐齒輪新型切齒法與切齒機(jī)床研究[D];吉林大學(xué);2012年

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本文編號(hào):1844019

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