Terminos

The 1st International Conference on Information Science and Engineering (ICISE2009)

Calculate The Common Normal Line’s Distance of Single Arc Gear Based on Secant Method
Authors Name/ Luo Wencui
Department of Mechanical Engineering. Lanzhou Higher Polytechnical College Lanzhou Higher Polytechnical College , LHPC Lanzhoushi , China luowencui @126.com
Abstract—The measurement of single arcgear common normal line length, was a basic detection project,which aimed to control the tooth thickness. The method was to compute the common normal line length of two regular changes between the surface,the process is complex. With the single arc gear transmission development drive to high-speed, heavy-duty, highpower, the measurement face a higher demand, we not only needed to improve theexisting measurement methods, calculation and measurement technology, but also strengthed the research of new test method. Just as it was ,We provided a way used secant methord and put forward the calculating principle of the common normal line,the flow chart,the alternating equation .This method was based on the calculating principle and formula of the double arc gear΄s driving and measuring commonnormal Line΄s distance and made 67 arc gear as an example.It creased labor power firmly and the precision was also increased. Keywordssingle method;application arc gear;normal line;secant

Authors Name/ Yi Xiangbin
Department of Mechanical Engineering. Lanzhou Higher Polytechnical College Lanzhou Higher Polytechnical College , LHPC Lanzhoushi , China yibin2003 @126.com is promoting the use of itgradually in metallurgical, oil, mining , hoisting and conveying machinery and other areas. B. Single-arc Gear Drive Figure 1 is a meshing diagram of a couple of Single-arc gear.

I.

INTRODUCTION

Arc gear is a new type of developing gear drive in recent years, Some factories,schools and research institutes carry out a lot of study,test and promotion work,and make a great progress in it since1960s .the pinion is convex teeth, the gear is concave in single arc gear drive.There are a series of advantages compare with the involute gear transmission. A.. The Major Advantages of Single Arc Gear Transmission a)big equivalent radius of curvature, high contact strength; b) small friction loss, high transmission efficiency, small tooth wear; c)even wear, easy running-in, good runningperformance; d) no undercutting phenomena, minimum teeth number limited by the strength and stiffness of axis only, Zmin = 6 ~ 8; e) vibration noise small than involute gear drive, and manufacturing process is simple. Engineering practice has proved that the carrying capacity of single arc gear is higer 1 to 1.5 times than involute gear under the same geometric parameters conditions. In view of the aboveadvantages ,the single arc gear has an increasing universal important in industry sector in many countries, China

Fig. 1Arc

gear drive

The pinion is convex tooth, the gear is concave tooth.The center of convex tooth profile lies on the pitch circle, the center of concave tooth profile lies out the pitch circle,and the radius ρ2 of concave tooth higher than the radius ρ1 of convex tooth.In theory, the two tooth profile are point contact, so circular tooth gear is also called arc point meshing gear. Figure 1 Shows that the two-section tooth profile of arc gear meshing at K-point. The common normal line which lie in

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meshing point thread the node at the moment. When pinion turned angle ∆φ1 ,and gear must turn ∆φ2 at certaintransmission ratio(Dotted line shown in chart), the gap must occured between the two tooth profile , the result is tooth profile lose contact.It is obviously that the head face contact ratio is zero and can not realize continuous transmission if we relpace them with spur gears.So,we must make them with helical gear,which can ensure continuous transmission and the coincidence degree in vertical higher...