斜齿轮时变接触线改进算法及螺旋角对接触线影响

本资料包含pdf文件1个，下载需要1积分

The improved algorithm of time-varying contact line andinfluence on contact line with diferent helix anglesLI Wenliang ，WANG Liqin ，CHANG Shan ，ZHAO Xiaoli(1.School of Mechanical and Electrical Engineering，Harbin Institute of Technology，Harbin 150001，China；2.China ShipbuildingIndustry Corporation 703 Institute，Harbin 150078，China) ，Abstract：Based on an algorithm proposed by Chinmaya Kar and A.R.Mohantya，which had computational condi·tion for computation of time-varying contact line，this paper deduces a general formula based on the theory of en-gagement，which breaks the restrictions of the mating surface shape and the number of contact lines in engagementin the computation of the contact line.The given algorithm in this paper expands the application range of the nu-merical calculation of contact line.and controls the error within 5% comparing with the national standard value ofcomputation.The research result provides a theoretical basis for design of gear parameters and the subsequent gearface friction.Th e given algorithm is used to compute the time-varying contact line of a helical gear within a trans-verse pitch by changing with different helix angles，and analyzing the changes law.Th e research results show，atthe initial moment，there g no fluctuation of the whole contact line and the running is very stable when the length ofL1(the shortest distance from the top of contact line to the right end surface of the mating area at the initial momentof mating)is equal to a transverse pitch，and L2(the shortest distance from the top of contact line to the left endsurface of the mating area at the initial moment of mating)equals L4(the shortest distance from the botom of con-tact line to the right end surface of the mating area at the initial moment of mating)。

Keywords：helical gear；time-varying contact line；numerical algorithm；helix angle；transverse pitch斜齿轮在高速列车、航空发动机以及舰船等需收稿日期：2011-12-28 网络出版时间：2012.12-5 16：35基金项目：国家 973计划资助项目(2013CB632305)。

传递重载的设备中广泛应用 .接触线的时变性是斜齿轮传动的主要特点之- ，由于接触线数目的变化会引起刚度、齿面摩擦力的改变，是振动和噪声的激励源之- .Kubo和 Kiyono研究表明随着斜齿轮螺旋角增大，斜齿轮在啮合过程中接触线第12期 李文良，等：斜齿轮时变接触线改进算法及螺旋角对其影响 1531·n：fix(b(tan 6 /p )1。

啮合面的宽度 范围内的接触线的条数 m为m fix(f/p 1)，Pfix[(厂-(m-1)Pt)/p ]。

② im，L( )[vt(i-1)p ]/sin b，0≤vt

④ im，，b[(i-1)P vt-fl/tan O/6/cos 6，L(i) 0≤vt

② m，. [vt(i-1)P ]/sin O/6，L(i) 0≤vt

④ imp，c ： 。os - 0，pvt < f- 力-/( i： 。 ；-厂-(i-1)P

⑥ im，. b-[(i-1)P vt- /tan O/6/cos 6L(i) 0≤vt≤bfian 6-(i-1)p ；0，bfian O/6-(i-1)P

情况 3 当b/f1时：接触线的条数 n为nfix[(bran 6 ]1，mfix(f/p )1。

2)im， ， [vt(i-1)P ]/sin Ot6，L(i) 0≤vt≤厂-(i-1)P ；2f-[vt(i-1)P ]/sin 6，，-( -1)P

4)i：n，， -[Vt( -1)P )]/sin ；L(i) 0≤vt≤2f-( -1)P ；0， -( -1)P

式中： 为基圆螺旋角，(。)；p 为端面齿距 ，mm；/为啮合面的宽度 ，mm；b为斜齿轮的宽度，mm； 为节圆表面速度，m/s。

i12 计算结果和分析文献[11]提供的斜齿轮参数代人到本文算法中计算结果对比如图2所示，计算结果与文献结果基本-致，初步验证算法正确。

26.025.525.0口 24.524.023.523.022.522.0(a)本文程序计算结果8(b)