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1、华北科技学院毕业设计附录 外文文献Design of Pinion Machine Tool-settings foSpiral Bevel Gearsby Controlling Contact Path and Transmission ErrorsCao Xuemeia,*,Fang Zongdea,Xu Haob,Su Jinzhanaa:School of Mechatronics,Northwestern Polytechnic University,Xian 710072,Chinab:Zhongnan Transmission Machinery Works of Changs
2、ha Aviation Industries, Changsha 410200,ChinaReceived 16 September 2007;accepted 20 February 2008Abstract：This paper proposes a new approach to design pinion machine tool-settings for spiral bevel gears by controlling contact path and transmission errors.It is based on the satisfaction of contact co
3、ndition of three given control points on the tooth surface.The three meshing points are controlled to be on a predesigned straight contact path that meets the pre-designed parabolic function of transmission errors.Designed separately,the magnitude of transmission errors and the orientation of the co
4、ntact path are subjected to precise control.In addition,in order to meet the manufacturing requirements,we suggest to modify the values of blank offset,one of the pinion machine tool-settings,and redesign pinion machine tool-settings to ensure that the magnitude and the geometry of transmission erro
5、rs should not be influenced apart from minor effects on the predesigned straight contact path.The proposed approach together with its ideas has been proven by a numerical example and the manufacturing practice of a pair of spiral bevel gears.Keywords:spiral bevel gear;contact path;transmission error
6、;blank offset;tooth contact analysis1 IntroductionSpiral bevel gears are among the key components of aerospace power plants in general,helicopter gear drives in particular,which regard the meshing performance,endurance and reliability as critical safety factors.Therefore,designing spiral bevel gears
7、 has all the time been drawing close attention of researchers in many companies and institutions.The requirements of reducing noise level and increasing endurance of spiral bevel gears have raise formidable challenge to designers too.The bases for designing low-noise spiral bevel gears with localize
8、d bearing contacts were presented in related Refs.In order to absorb larger errors in alignment and have better stability,the contact path should be designed to be a straight line.As transmission errors are mostly blamed for noise and vibration in gearing systems,the transmission errors of parabolic
9、 type are considered to be able to absorb linear discontinuous effects caused by misalignment referred to as the main source of noise.In some cases,the machine tool-settings designed by way of the existing local synthetic method are well beyond the appropriate applicable range of the machine.In this
10、 paper,a new integrated approach is proposed on the base of meeting the contact conditions inclusive of the predesigned parabolic function of transmission errors and the specifically oriented straight contact path through three given control points on the tooth surface.As a result,as early as in the
11、 designing stage,the operating performance could be controlled.In addition,the values of blank offset can be so modified as to be within the appropriate range of the machine without any influenceon the magnitude of transmission errors apart from there being minor effects on the predesigned linear co
12、ntact path. The proposed approach is based on the following assumptions:(1)The gear machine tool-settings are predetermined and can be adopted.(2)The main input parameters are 2 and m21 .Of them, 2 determines the orientation angle of the predesigned straight contact path,and m21 the sec-ond derivati
13、ve of the transmission function,which determines the predesigned magnitude of the parabolic function of transmission error.In this paper,the values of 2 and m21 are given in advance,but,in practices,they can be optimized depending on the applied loads to obtain the favorable meshing performance thro
14、ugh the loaded tooth contact analysis(LTCA).2 Active Tooth Surface Design by Three Given Meshing PointsAfter the three control meshing points have been determined on the gear surface by the predesigned straight contact path and the parabolic function of transmission errors,the pinion machine tool-se
15、ttings can be determined.2.1 Determination of three contact pointsFig.1 shows the three contact points on the gear tooth surface.2 is the pitch angle of the gear.The contact path is designed to be a straight line and 2 is the orientation of contact path.Fig.1 Three control meshing points and contact
16、 path.When the gear surface 2 rotates by 02, 12 and22,the pinion surface 1 contacts with it at meshing points M0,M1 and M2 with rotational angles 02, 12 and 22 respectively.Let the cycle of pinion meshing be 2/Z1,where Z1 is the tooth number of pinion,and then 11=/Z1+01 and 21=/Z1+01 can be determined.At the mean contact point M0,the instantaneous transmission ratio is equal to the gear ratio.Usually this p
