漸開線少齒差行星傳動線面共軛嚙合理論研究
發(fā)布時間：2019-03-30 21:28
【摘要】：漸開線少齒差行星傳動具有單級減速比大、傳動平穩(wěn)、結(jié)構(gòu)緊湊、中心距可分、制造加工技術(shù)成熟、嚙合副為凸凹接觸、輪齒的接觸應(yīng)力小、承載能力高等優(yōu)點,因而得到了廣泛的應(yīng)用。開展?jié)u開線少齒差行星傳動基礎(chǔ)理論的研究,創(chuàng)新其嚙合的原理,對于降低嚙合副滑動率、提高傳動性能等具有重要的理論意義和工程實用價值。 本文的主要內(nèi)容包括: ①根據(jù)齒輪嚙合相關(guān)原理,提出了漸開線線面共軛的概念,推導(dǎo)了漸開線少齒差線面共軛嚙合副齒廓接觸線方程、嚙合方程等;論證了漸開線線面共軛嚙合副嚙合過程為點接觸,其端面投影仍為漸開線共軛嚙合副,具有漸開線齒輪傳動中心距可分等優(yōu)點。 ②提出了管狀嚙合齒面(嚙合管)的概念,建立了漸開線管狀嚙合齒面方程,討論了嚙合管與共軛曲面的嚙合傳動特性。 ③由嚙合副滑動率的定義,給出運用嚙合副齒廓共軛曲線方程推導(dǎo)嚙合副滑動率的通用方法;推導(dǎo)了漸開線少齒差行星傳動傳統(tǒng)嚙合副和線面共軛嚙合副的滑動率計算公式;與漸開線傳統(tǒng)嚙合副相比,線面嚙合副最大滑動系數(shù)降低了近100倍;討論了齒廓參數(shù)對漸開線面嚙合副滑動率的影響。 ④根據(jù)漸開線線面共軛嚙合理論,給出了基于線面共軛的漸開線少齒差行星傳動的設(shè)計方法及設(shè)計實例,討論了基于PROE的漸開線線面共軛嚙合副參數(shù)化設(shè)計方法。 ⑤建立了漸開線少齒差行星傳動傳統(tǒng)嚙合副及線面嚙合副接觸有限元分析模型,利用ANSYS求解器進行求解,并對結(jié)果進行了對比分析,進一步揭示漸開線線面嚙合副的接觸特性。
[Abstract]:The involute planetary transmission with few teeth difference has the advantages of large single-stage deceleration ratio, stable transmission, compact structure, separable center distance, mature manufacturing technology, convex and concave contact of meshing pairs, small contact stress of gear teeth and high bearing capacity, etc. Therefore, it has been widely used. The research on the basic theory of the involute planetary transmission with few teeth difference and the innovation of its meshing principle have important theoretical significance and engineering practical value for reducing the sliding rate of the meshing pair and improving the transmission performance. The main contents of this paper are as follows: (1) according to the principle of gear meshing, the concept of involute surface conjugation is put forward, and the contact line equation and meshing equation of involute few tooth difference surface conjugate meshing pair are derived. It is proved that the meshing process of involute conjugate meshing pair is point contact, and its end projection is still involute conjugate meshing pair, which has the advantages of separable center distance of involute gear transmission. 2 the concept of tubular meshing tooth surface (meshing tube) is put forward, and the equation of involute meshing tooth surface is established, and the meshing transmission characteristics of meshing tube and conjugate surface are discussed. 3Based on the definition of sliding rate of meshing pair, the general method of deducing the sliding rate of meshing pair by using conjugate curve equation of tooth profile of meshing pair is given, and the formula for calculating the slip rate of traditional meshing pair and conjugate meshing pair on line surface of involute few tooth difference planetary transmission is derived. Compared with the traditional involute meshing pair, the maximum sliding coefficient of the linear meshing pair is reduced by nearly 100 times, and the influence of tooth profile parameters on the sliding rate of the involute meshing pair is discussed. 4 according to the conjugate meshing theory of involute surface, the design method and the design example of the involute few tooth difference planetary transmission based on the conjugate involute surface are given, and the parametric design method of the involute conjugate meshing pair based on PROE is discussed. (5) the finite element analysis model of contact between traditional mesh pair and line-surface mesh pair of involute less tooth difference planetary transmission is established and solved by ANSYS solver. The results are compared and analyzed, and the contact characteristics of involute surface meshing pair are further revealed.
【學(xué)位授予單位】：重慶大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2011
【分類號】：TH132.413
本文編號：2450505
[Abstract]:The involute planetary transmission with few teeth difference has the advantages of large single-stage deceleration ratio, stable transmission, compact structure, separable center distance, mature manufacturing technology, convex and concave contact of meshing pairs, small contact stress of gear teeth and high bearing capacity, etc. Therefore, it has been widely used. The research on the basic theory of the involute planetary transmission with few teeth difference and the innovation of its meshing principle have important theoretical significance and engineering practical value for reducing the sliding rate of the meshing pair and improving the transmission performance. The main contents of this paper are as follows: (1) according to the principle of gear meshing, the concept of involute surface conjugation is put forward, and the contact line equation and meshing equation of involute few tooth difference surface conjugate meshing pair are derived. It is proved that the meshing process of involute conjugate meshing pair is point contact, and its end projection is still involute conjugate meshing pair, which has the advantages of separable center distance of involute gear transmission. 2 the concept of tubular meshing tooth surface (meshing tube) is put forward, and the equation of involute meshing tooth surface is established, and the meshing transmission characteristics of meshing tube and conjugate surface are discussed. 3Based on the definition of sliding rate of meshing pair, the general method of deducing the sliding rate of meshing pair by using conjugate curve equation of tooth profile of meshing pair is given, and the formula for calculating the slip rate of traditional meshing pair and conjugate meshing pair on line surface of involute few tooth difference planetary transmission is derived. Compared with the traditional involute meshing pair, the maximum sliding coefficient of the linear meshing pair is reduced by nearly 100 times, and the influence of tooth profile parameters on the sliding rate of the involute meshing pair is discussed. 4 according to the conjugate meshing theory of involute surface, the design method and the design example of the involute few tooth difference planetary transmission based on the conjugate involute surface are given, and the parametric design method of the involute conjugate meshing pair based on PROE is discussed. (5) the finite element analysis model of contact between traditional mesh pair and line-surface mesh pair of involute less tooth difference planetary transmission is established and solved by ANSYS solver. The results are compared and analyzed, and the contact characteristics of involute surface meshing pair are further revealed.
【學(xué)位授予單位】：重慶大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2011
【分類號】：TH132.413
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