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交錯(cuò)軸變齒厚齒輪副的設(shè)計(jì)方法與有限元分析

發(fā)布時(shí)間:2019-06-10 03:20
【摘要】:交錯(cuò)軸變齒厚齒輪副傳動(dòng)是一種特殊形式的漸開線齒輪傳動(dòng),這種齒輪副能夠?qū)崿F(xiàn)小軸交角傳動(dòng),即允許其主被動(dòng)齒輪軸線間存在一個(gè)較小夾角。這類齒輪在游艇、快艇的動(dòng)力傳動(dòng)機(jī)構(gòu)中大量使用。交錯(cuò)軸變齒厚齒輪副的幾何參數(shù)繁多,設(shè)計(jì)困難,并且無法用現(xiàn)有的齒輪強(qiáng)度計(jì)算理論來求解其強(qiáng)度問題。基于此,本文介紹了一種交錯(cuò)軸變齒厚齒輪副的設(shè)計(jì)方法,并且采用有限元法分析了一對(duì)交錯(cuò)軸變齒厚齒輪副接觸應(yīng)力與彎曲應(yīng)力分布情況。 首先介紹了交錯(cuò)軸變齒厚齒輪副的嚙合原理及其主要幾何參數(shù),并介紹了一種適合于各種傳動(dòng)布局形式的交錯(cuò)軸變齒厚齒輪副的幾何設(shè)計(jì)方法即保證安裝參數(shù)法,文中分析了這種方法相對(duì)于傳統(tǒng)設(shè)計(jì)方法的優(yōu)越性,并以保證安裝參數(shù)法為基礎(chǔ)設(shè)計(jì)兩對(duì)不同布局形式的交錯(cuò)軸變齒厚齒輪,并以其中的一對(duì)作為本文的研究對(duì)象。 其次根據(jù)交錯(cuò)軸變齒厚齒輪副在嚙合過程中與假想齒條的嚙合關(guān)系,利用坐標(biāo)變換理論,建立了一對(duì)配對(duì)的交錯(cuò)軸變齒厚齒輪副的齒面方程。采用Matlab軟件根據(jù)齒面方程編寫程序求解了齒輪副的齒面點(diǎn)集,在Pro/e中由這些齒面點(diǎn)集實(shí)現(xiàn)交錯(cuò)軸變齒厚齒輪副的齒面重構(gòu),進(jìn)而建立其三維實(shí)體模型,為后續(xù)的有限元強(qiáng)度分析做好準(zhǔn)備。 最后通過Pro/e與ANSYS軟件之間的無縫連接,將齒輪副幾何模型導(dǎo)入ANSYS軟件中,并在此基礎(chǔ)上完成了交錯(cuò)軸變齒厚齒輪副有限元分析模型的建立;根據(jù)有限元計(jì)算結(jié)果,分析了交錯(cuò)軸變齒厚齒輪副主從動(dòng)齒輪齒面接觸應(yīng)力以及齒根彎曲應(yīng)力的分布情況,得出了最大接觸應(yīng)力和最大彎曲應(yīng)力的發(fā)生位置以及輪齒應(yīng)變情況,為齒輪副的優(yōu)化設(shè)計(jì)提供了依據(jù)。
[Abstract]:Staggered shaft variable tooth thickness gear pair transmission is a special form of involute gear transmission, this kind of gear pair can realize small shaft cross angle transmission, that is to say, there is a small angle between the active and passive gears. This kind of gear is widely used in the power transmission mechanism of yachts and speedboats. The geometric parameters of staggered shaft variable tooth thickness gear pair are many, and the design is difficult, and the existing gear strength calculation theory can not be used to solve the strength problem. Based on this, this paper introduces a design method of staggered shaft variable tooth thickness gear pair, and analyzes the distribution of contact stress and bending stress of a pair of staggered shaft variable tooth thickness gear pair by finite element method. Firstly, the meshing principle and main geometric parameters of staggered shaft variable tooth thickness gear pair are introduced, and a geometric design method of staggered shaft variable tooth thickness gear pair suitable for all kinds of transmission layout is introduced, that is, the method of ensuring installation parameters. In this paper, the advantages of this method over the traditional design method are analyzed, and two pairs of staggered shaft variable tooth thickness gears with different layout forms are designed on the basis of guaranteed installation parameter method, and one of them is taken as the research object of this paper. Secondly, according to the meshing relationship between the staggered shaft variable tooth thickness gear pair and the hypothetical rack in the meshing process, the tooth surface equation of a pair of staggered shaft variable tooth thickness gear pair is established by using the coordinate transformation theory. The tooth surface point set of gear pair is solved by using Matlab software according to the tooth surface equation. The tooth surface reconstruction of staggered shaft variable tooth thickness gear pair is realized by these tooth surface point sets in Pro/e, and then its three-dimensional solid model is established. Prepare for the subsequent finite element strength analysis. Finally, through the seamless connection between Pro/e and ANSYS software, the geometric model of gear pair is imported into ANSYS software, and on this basis, the finite element analysis model of staggered shaft variable tooth thickness gear pair is established. According to the results of finite element calculation, the distribution of tooth surface contact stress and tooth root bending stress of master-follower gear pair with staggered shaft variable tooth thickness gear pair is analyzed, and the occurrence position of maximum contact stress and maximum bending stress and the strain of gear tooth are obtained. It provides the basis for the optimal design of gear pair.
【學(xué)位授予單位】:大連理工大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2012
【分類號(hào)】:TH132.41

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