發(fā)布時(shí)間：2018-05-16 05:05

  本文選題：對(duì)數(shù)螺旋錐齒輪 + 齒面重構(gòu)�。� 參考：《內(nèi)蒙古科技大學(xué)》2012年碩士論文

【摘要】：螺旋錐齒輪的設(shè)計(jì)與制造在機(jī)械行業(yè)中已占有相當(dāng)重要的地位，螺旋錐齒輪在傳動(dòng)過(guò)程中，只是在齒輪中部嚙合處的螺旋角為設(shè)計(jì)的標(biāo)準(zhǔn)螺旋角，而在其它部位均為近似值，嚴(yán)格的說(shuō)，從原理上無(wú)法保證最合理的嚙合。因此，解決螺旋錐齒輪傳動(dòng)中存在的不同嚙合點(diǎn)處的螺旋角不相等問(wèn)題就顯得很重要。而對(duì)數(shù)螺旋錐齒輪作為一種新型的齒輪傳動(dòng)形式，比傳統(tǒng)螺旋錐齒輪有更多的優(yōu)勢(shì)。 但由于對(duì)數(shù)螺旋錐齒輪其本身復(fù)雜的曲面形狀，導(dǎo)致了其加工過(guò)程比一般的錐齒輪要更加困難。根據(jù)展成法加工出的對(duì)數(shù)螺旋錐齒輪在加工過(guò)程中，要先根據(jù)展成原理調(diào)整機(jī)床的加工參數(shù)，加工出大輪，再根據(jù)齒輪的共軛原理切制出小輪。這樣，，實(shí)際加工出的對(duì)數(shù)螺旋錐齒輪齒面與理論齒面有一定的加工誤差，即齒面偏差。為了減小齒面偏差,最經(jīng)濟(jì)適用的方法就是采用激光掃描設(shè)備采集齒面離散數(shù)據(jù)點(diǎn)，從而獲得齒面網(wǎng)格點(diǎn)的法向偏差，并通過(guò)數(shù)值分析對(duì)齒面誤差進(jìn)行修正。 本課題是針對(duì)已有的對(duì)數(shù)螺旋錐齒輪實(shí)物，采用逆向工程技術(shù)對(duì)對(duì)數(shù)螺旋錐齒輪做進(jìn)一步的研究，不斷完善了對(duì)數(shù)螺旋錐齒輪的嚙合理論。 1.對(duì)數(shù)螺旋錐齒輪的齒面重構(gòu)。通過(guò)3D掃描設(shè)備對(duì)已有的對(duì)數(shù)螺旋錐齒輪進(jìn)行掃描，將獲取到的齒面離散點(diǎn)的坐標(biāo)數(shù)據(jù)運(yùn)用NURBS插值算法進(jìn)行計(jì)算，先得到齒面上的三次B樣條插值曲線，由插值曲線最終會(huì)重構(gòu)出對(duì)數(shù)螺旋錐齒輪的齒面。 2.對(duì)數(shù)螺旋錐齒輪的構(gòu)造齒面與理論齒面的誤差分析。在建立起來(lái)的對(duì)數(shù)螺旋錐齒輪真實(shí)數(shù)學(xué)模型的基礎(chǔ)上，最終目的是要將構(gòu)造的對(duì)數(shù)螺旋錐齒輪齒面與理論齒面相比較，從而計(jì)算它們之間的誤差。因此，根據(jù)得出的對(duì)數(shù)螺旋錐齒輪的真實(shí)齒面方程計(jì)算出一系列的離散數(shù)據(jù)點(diǎn)，將離散數(shù)據(jù)點(diǎn)帶到對(duì)數(shù)螺旋齒輪的理論方程里，會(huì)得到一組相應(yīng)理論數(shù)據(jù)點(diǎn)的坐標(biāo)。根據(jù)理論齒面的數(shù)據(jù)點(diǎn)坐標(biāo)和真實(shí)齒面的數(shù)據(jù)點(diǎn)坐標(biāo)最終會(huì)計(jì)算出齒面的齒向偏差，利用差曲面分析工具，建立差曲面方程并修正齒面誤差。
[Abstract]:The design and manufacture of spiral bevel gears have played a very important role in the mechanical industry. In the course of transmission, the helical angle of spiral bevel gears is only the standard spiral angle in the middle of the gear meshing, but it is approximate in other parts. Strictly speaking, there is no guarantee of the most reasonable engagement in principle. Therefore, it is very important to solve the problem of helical angle inequality at different meshing points in spiral bevel gear transmission. As a new type of gear transmission, logarithmic spiral bevel gear has more advantages than traditional spiral bevel gear. However, the machining process of logarithmic spiral bevel gear is more difficult than that of conventional bevel gear due to its complex curved surface shape. According to the logarithmic spiral bevel gear machined by generating method, the machining parameters of machine tool should be adjusted according to the principle of generating first, the large wheel should be machined, and then the small wheel should be cut according to the conjugate principle of gear. In this way, the tooth surface of the logarithmic spiral bevel gear actually machined has certain machining error with the theoretical tooth surface, that is, the tooth surface deviation. In order to reduce the tooth surface deviation, the most economical and applicable method is to collect the discrete data points of the tooth surface by using laser scanning equipment, so as to obtain the normal deviation of the tooth surface grid point, and to correct the tooth surface error by numerical analysis. Aiming at the existing logarithmic spiral bevel gear, the reverse engineering technology is used to further study the logarithmic spiral bevel gear, and the meshing theory of logarithmic spiral bevel gear is improved. 1. Tooth surface reconstruction of logarithmic spiral bevel gear. The existing logarithmic spiral bevel gears were scanned by 3D scanning equipment. The coordinate data of the discrete points of tooth surface were calculated by NURBS interpolation algorithm, and the cubic B-spline interpolation curve on the tooth surface was obtained first. The tooth surface of logarithmic spiral bevel gear will be reconstructed from interpolation curve. 2. Error analysis of the structural and theoretical tooth surfaces of logarithmic spiral bevel gears. On the basis of the real mathematical model of logarithmic spiral bevel gear, the final aim is to compare the tooth surface of the constructed logarithmic spiral bevel gear with the theoretical tooth surface and to calculate the error between them. Therefore, a series of discrete data points are calculated according to the real tooth surface equation of logarithmic spiral bevel gear. The discrete data points are brought into the theoretical equation of logarithmic spiral gear, and the coordinates of corresponding theoretical data points are obtained. According to the data point coordinates of the theoretical tooth surface and the real tooth surface data point coordinate, the tooth deviation of the tooth surface is calculated finally, and the differential surface equation is established and the tooth surface error is corrected by using the difference surface analysis tool.
【學(xué)位授予單位】：內(nèi)蒙古科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2012
【分類(lèi)號(hào)】：TH132.41

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