本文選題：弧齒錐齒輪 + 修形��； 參考：《河南科技大學(xué)》2015年碩士論文

【摘要】：弧齒錐齒輪的切齒過(guò)去一直在專用銑齒機(jī)或磨齒機(jī)上進(jìn)行,齒面接觸區(qū)修正通過(guò)調(diào)整機(jī)床加工參數(shù)實(shí)現(xiàn)。由于弧齒錐齒輪的幾何特性與嚙合過(guò)程復(fù)雜,各加工參數(shù)相互耦合、綜合對(duì)齒面接觸狀況產(chǎn)生影響,需反復(fù)試切并滾動(dòng)檢查齒面接觸狀況,因此獲得一套能保證良好接觸質(zhì)量的加工參數(shù)非常困難。隨著高速切削技術(shù)急速發(fā)展及其在加工中心上的應(yīng)用,在加工中心上對(duì)螺旋錐齒輪切齒已經(jīng)成為現(xiàn)實(shí),可以解決一些大型錐齒輪無(wú)法在專用機(jī)床上加工的難題。然而現(xiàn)有齒面修形技術(shù)局限于專用銑齒機(jī),因此建立一套基于加工中心加工弧齒錐齒輪的齒面修形理論很有必要。本文以成形法高效加工大輪為基礎(chǔ),提出一種在共軛基礎(chǔ)上量化修形小輪齒面的理論,通過(guò)曲面擬合理論對(duì)修形后的小輪目標(biāo)齒面進(jìn)行高精度擬合,進(jìn)而進(jìn)行輪齒接觸分析,探索改變修形參數(shù)設(shè)置對(duì)齒面嚙合性能的影響。本文研究?jī)?nèi)容主要是:1基于大輪成形法加工方式,建立大輪的齒面方程。根據(jù)齒輪嚙合原理,在分析齒輪副嚙合坐標(biāo)系的基礎(chǔ)上,推導(dǎo)出完全共軛的小輪理論齒面方程。2運(yùn)用旋轉(zhuǎn)投影原理,對(duì)小輪齒面進(jìn)行網(wǎng)格劃分,建立起三維齒面坐標(biāo)與二維網(wǎng)格坐標(biāo)之間的關(guān)系,求解出小輪齒面的離散點(diǎn)數(shù)據(jù);在網(wǎng)格數(shù)據(jù)的基礎(chǔ)上運(yùn)用差曲面方程構(gòu)建出小輪目標(biāo)齒面與共軛齒面之間的偏差,完成對(duì)完全共軛小輪齒面的修形計(jì)算,獲得修形后小輪齒面的網(wǎng)格離散點(diǎn)數(shù)據(jù)。3運(yùn)用雙三次NURBS曲面擬合方法對(duì)小輪修形齒面的離散點(diǎn)進(jìn)行高精度的擬合,得到小輪的數(shù)字化齒面方程,并且對(duì)擬合的齒面精度進(jìn)行分析;對(duì)大輪理論齒面與小輪數(shù)字化齒面進(jìn)行齒面接觸分析(TCA),得到齒輪副的傳動(dòng)誤差與接觸印痕,驗(yàn)證對(duì)完全共軛小輪修形設(shè)計(jì)的可行性。探究齒廓鼓形量修形與齒長(zhǎng)鼓形量修形對(duì)TCA結(jié)果的影響。4通過(guò)將計(jì)算得到的齒面點(diǎn)數(shù)據(jù)導(dǎo)入三維軟件中,觀察修形前與修形后接觸區(qū)的變化,探討修形理論的可行性。以小輪齒數(shù)8,大輪齒數(shù)37的一對(duì)齒輪副為例,用本文提出的修形理論對(duì)小輪進(jìn)行修形計(jì)算,得到修形后的小輪離散點(diǎn)后,將其導(dǎo)入三維軟件生成實(shí)體,在加工中心上編制程序?qū)π≥嗊M(jìn)行加工實(shí)驗(yàn),并與大輪進(jìn)行滾動(dòng)檢驗(yàn),觀察到的齒面接觸區(qū)與TCA結(jié)果基本一致,證明了本文提出的TCA方法的正確性。
[Abstract]:The tooth cutting of arc bevel gear has been carried out in special milling machine or grinding machine in the past, and the tooth surface contact area correction is realized by adjusting the machining parameters of the machine tool. Due to the complexity of geometric characteristics and meshing process of spiral bevel gear, the machining parameters are coupled with each other, which has a comprehensive effect on the tooth surface contact, so it is necessary to test the tooth surface contact condition repeatedly and to check the tooth surface contact condition by rolling. Therefore, it is very difficult to obtain a set of processing parameters which can guarantee good contact quality. With the rapid development of high speed cutting technology and its application in machining center, the cutting of spiral bevel gear in machining center has become a reality, which can solve the problem that some large bevel gears can not be machined on special machine tools. However, the existing tooth surface modification technology is limited to special milling machine, so it is necessary to establish a set of tooth surface modification theory based on machining center arc bevel gear. Based on the high efficiency machining of large wheel by forming method, this paper puts forward a theory of quantifying the tooth surface of small wheel on the basis of conjugate. The surface of the modified gear is fitted with high precision through the theory of surface fitting, and then the gear tooth contact analysis is carried out. To explore the effect of changing the profile modification parameters on the meshing performance of tooth surface. The main research content of this paper is to establish the tooth surface equation of big wheel based on the forming method of big wheel. According to the principle of gear meshing and on the basis of analyzing the meshing coordinate system of gear pair, a completely conjugate theoretical tooth surface equation of small wheel is derived. 2. By using the principle of rotating projection, the tooth surface of small wheel is meshed. The relationship between 3D tooth surface coordinates and two-dimensional grid coordinates is established to solve the discrete point data of the gear tooth surface, and the deviation between the small gear tooth surface and the conjugate tooth surface is constructed by using the difference surface equation based on the grid data. The modification calculation of the tooth surface of the complete conjugate small wheel is completed, and the mesh discrete point data of the modified gear tooth surface are obtained. 3. The discrete points of the modified gear tooth surface are fitted with high precision by using the double cubic NURBS surface fitting method. The digital tooth surface equation of the small wheel is obtained, and the accuracy of the fitting tooth surface is analyzed, and the tooth surface contact analysis of the large wheel theoretical tooth surface and the small wheel digital tooth surface is carried out, and the transmission error and the contact mark of the gear pair are obtained. Verify the feasibility of complete conjugate wheel modification design. The influence of tooth profile profile modification and tooth length drum shape modification on TCA results. 4. By importing the calculated tooth surface data into 3D software, the change of contact area before and after modification is observed, and the feasibility of modification theory is discussed. Taking a pair of gear pairs with small gear tooth number 8 and large gear tooth number 37 as an example, the modification theory proposed in this paper is used to calculate the shape modification of the small wheel. After the discrete point of the modified wheel is obtained, it is introduced into the 3D software to generate the entity. In the machining center, a program is compiled to carry out machining experiments on the small wheel, and a rolling inspection is carried out with the large wheel. The observed contact area of the tooth surface is basically consistent with the results of TCA, which proves the correctness of the TCA method proposed in this paper.
【學(xué)位授予單位】：河南科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類(lèi)號(hào)】：TG61

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本文編號(hào)：1792668