發(fā)布時間：2019-05-16 09:10

【摘要】：圓弧齒輪作為點嚙合制齒輪傳動,在轉(zhuǎn)動過程中不同時刻嚙合點的個數(shù)和齒對數(shù)是不同的,因此其嚙合點載荷分配也就不同,搞清楚相互嚙合的一對齒輪齒廓之間每個嚙合點的載荷大小對于提高齒輪之承載能力以及磨損等性能有重要意義,本文研究結(jié)果能為多圓弧齒輪的齒廓修形以及設(shè)計最優(yōu)齒形提供理論依據(jù),具有研究意義和價值。本文主要研究了圓弧齒輪的嚙合原理以及雙圓弧和四圓弧齒輪的嚙合特性,依據(jù)漸開線直齒輪計算嚙合剛度的方法——勢能法,分析出計算圓弧齒輪嚙合點處嚙合剛度的方法,論文重點在于建立了一個新的力學(xué)模型,假設(shè)圓弧齒輪本體不發(fā)生變形,變形只產(chǎn)生于輪齒上,在此假設(shè)下,研究了圓弧齒輪嚙合點載荷分配的問題。不考慮圓弧齒輪輪齒彎曲變形的條件下,經(jīng)過分析,得到了圓弧齒輪嚙合點處載荷分配均勻的結(jié)論;考慮圓弧齒輪輪齒彎曲變形的條件下,經(jīng)過分析并通過MATLAB編程計算,總結(jié)出了關(guān)于圓弧齒輪嚙合點處載荷分配的幾條重要結(jié)論。具體研究內(nèi)容如下:1)簡化力學(xué)模型,本文假設(shè)圓弧齒輪在傳遞轉(zhuǎn)矩的過程中齒輪本體不發(fā)生變形,則輪齒會產(chǎn)生兩種類型的幾何變形:一種是輪齒整體彎曲變形,受力狀態(tài)等價一個懸臂梁。另外一種是因齒面在嚙合點的接觸而產(chǎn)生的彈性變形,稱為接觸變形。2)在嚙合點數(shù)目不同時,圓弧齒輪力學(xué)與載荷分配研究,主要研究在不考慮彎曲變形以及考慮彎曲變形兩種情況時,圓弧齒輪的力學(xué)模型建立和不同嚙合點載荷分配的情況。3)運用MATLAB得出各嚙合點載荷分配的數(shù)值模擬結(jié)果,給定主要參數(shù)的取值,經(jīng)MATLAB運算,得出在不同情況下各嚙合點載荷的數(shù)值。4)分析圓弧齒輪嚙合點載荷分配與齒數(shù)、模數(shù)之間的關(guān)系,根據(jù)不同情況下各嚙合點載荷的數(shù)值,總結(jié)圓弧齒輪嚙合點載荷分配與齒數(shù)、模數(shù)之間的關(guān)系。
[Abstract]:Circular arc gear as a point meshing gear transmission, in the process of rotation, the number of meshing points and the number of teeth are different, so the load distribution of meshing point is also different. It is of great significance to find out the load size of each meshing point between the tooth profiles of a pair of gears engaged with each other in order to improve the bearing capacity and wear performance of gears. The results of this paper can provide a theoretical basis for the modification of tooth profile and the design of optimal tooth profile of multi-circular arc gears, and have research significance and value. In this paper, the meshing principle of circular arc gear and the meshing characteristics of double circular arc gear and four circular arc gear are studied. According to the potential energy method, which is the method of calculating meshing stiffness of involute spur gear, the method of calculating meshing stiffness at meshing point of circular arc gear is analyzed. The emphasis of this paper is to establish a new mechanical model, assuming that the circular arc gear body does not deform and the deformation only occurs on the gear teeth. Under this assumption, the problem of load distribution at the meshing point of circular arc gear is studied. Without considering the bending deformation of circular arc gear teeth, the conclusion that the load distribution at the meshing point of circular arc gear is uniform is obtained. Under the condition of considering the bending deformation of circular arc gear teeth, through analysis and MATLAB programming calculation, some important conclusions about load distribution at meshing point of circular arc gear are summarized. The specific research contents are as follows: 1) simplify the mechanical model. This paper assumes that the gear body does not deform in the process of transferring torque, then the gear teeth will produce two types of geometric deformation: one is the overall bending deformation of the gear teeth, The stress state is equivalent to a cantilever beam. The other is the elastic deformation caused by the contact of the tooth surface at the meshing point, which is called contact deformation. 2) the mechanics and load distribution of circular arc gears are studied when the number of meshing points is different. This paper mainly studies the establishment of mechanical model of circular arc gear and the load distribution of different meshing points without considering bending deformation and bending deformation. 3) the numerical simulation results of load distribution at each meshing point are obtained by using MATLAB. Given the value of the main parameters, the values of the load at each meshing point under different conditions are obtained by MATLAB operation. 4) the relationship between the load distribution at the meshing point and the number of teeth and modulus is analyzed, and according to the value of the load at each meshing point under different conditions, The relationship between load distribution and tooth number and modulus of circular arc gear meshing point is summarized.
【學(xué)位授予單位】：寧夏大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：TH132.416

【參考文獻】

相關(guān)期刊論文 前10條

1 張四弟;左鍵民;張兆祥;王金淦;;磨齒技術(shù)與裝備及其發(fā)展趨勢[J];制造技術(shù)與機床;2011年02期

2 任重義;段建中;;四圓弧齒輪的嚙合特性[J];機械傳動;2010年01期

3 任重義;段建中;;基于ANSYS的四圓弧齒輪齒形優(yōu)化[J];機床與液壓;2009年11期

4 李輝;段建中;孫黎;;多圓弧齒輪三維實體設(shè)計專用軟件DAM的開發(fā)[J];機械設(shè)計與制造;2009年09期

5 李金蓮;夏建芳;張志強;;雙圓弧齒輪不同加載方式彎曲應(yīng)力有限元分析[J];新技術(shù)新工藝;2009年03期

6 任重義;段建中;;四圓弧齒廓齒輪的設(shè)計及數(shù)字化加工[J];煤礦機械;2009年02期

7 屈文濤;沈允文;徐建寧;;基于ANSYS的雙圓弧齒輪接觸應(yīng)力有限元分析[J];農(nóng)業(yè)機械學(xué)報;2006年10期

8 屈文濤;沈允文;郭輝;徐建寧;趙寧;;雙圓弧齒輪的有限元綜合分析方法[J];機械強度;2006年03期

9 屈文濤;沈允文;趙寧;徐建寧;郭輝;;雙圓弧齒輪的靜態(tài)和動態(tài)接觸模型[J];機械設(shè)計;2006年06期

10 李海翔,李朝陽,陳兵奎;圓弧齒輪研究的進展[J];現(xiàn)代制造工程;2005年03期

相關(guān)博士學(xué)位論文 前1條

1 李海翔;漸開弧面齒輪傳動的基本理論及試驗研究[D];重慶大學(xué);2012年

相關(guān)碩士學(xué)位論文 前6條

1 楊松;雙圓弧齒輪嚙合點載荷分配的研究[D];寧夏大學(xué);2016年

2 閆文斗;基于成形磨齒的多圓弧齒廓齒輪建模及工藝研究[D];寧夏大學(xué);2014年

3 康星虎;內(nèi)嚙合多圓弧齒輪嚙合原理及其成形銑刀的設(shè)計研究[D];寧夏大學(xué);2013年

4 焦海波;雙圓弧齒輪傳動優(yōu)化設(shè)計及有限元分析[D];東北大學(xué);2008年

5 姚靜媛;雙圓弧齒輪的嚙合特性研究及仿真[D];太原理工大學(xué);2006年

6 張榮榮;微型齒輪齒廓設(shè)計方法研究[D];南京航空航天大學(xué);2006年

，

本文編號：2478175