Study On The Design Of Two Teeth Difference Cycloid Gears Gearing

Cycloid gears gearing have found its wide application because of its advantages. At the present time, most cycloid gearing speed reducers which produced by domestic factories utilize cycloid gears and gears (one tooth difference K-H-V) to mesh each other. This kind of speed reducers has been used in chemical industry, foodstuff industry, metallurgical industry, and national defense and so on widely from 0.75KW to 75KW. But the theoretic teeth for transferring force at the same time in mesh are smaller (about half of the teeth) in big power and small speed ratio range (i 17, especially i 11). Besides, the actual teeth in mesh at same time become smaller after the equidistance or moving distance figure modified in order to generate necessary gear clearance for compensation of the errors occurring in manufacture and assembly as well as satisfaction of lubrication. As a result, the load capacity will decrease and agglutination generates easily, In order to conquer the weakness of the one tooth difference in small speed ratio, Japan and China have developed the two teeth difference cycloid gears gearing.In theory, the two teeth difference cycloid gears gearing can avoid the agglutination occurred teeth surfaces in mesh thoroughly. But, because the existence of a cusp at a tooth crest, the strength is weaken in this part and noise is raised during gearing. For this reason, it is necessary to select a modified peak curve to connect the work part of a tooth for elimination of cusp. During the produce process of this kind of cycloid gear, the left side and right side of the gears are processed at two times, then be modified. Apparently, the tooth curve of the two teeth difference cycloid gear is not an intact curve, the grinding technology becomes relatively complicated, and furthermore, the discontinuity will generate influence on the process precision of a gear.According to the problems above-mentioned, this dissertation has done some researches as follows:1) Adopting the isometric curve of a intact short outer breadth curve to replace the original gear of the two difference teeth cycloid gears, to make it approach to the original profile ideally in the area of impact fully transferring force gear teeth in mesh (the error between this two is in the allowable range).2) Optimizing the tooth profile parameters of the mathematic model built for the equivalent profile in the two teeth difference cycloid gears gearing with geneticalgorithm at the first time.3) Analyzing the force of the equivalent substitution tooth profile required, validating whether the equivalent substitution tooth profile is satisfy the need of strength with another parameters (the span between two gear pins L, the diameter of the gear pin, elastic modulus, etc.) are unchanged.4) Developing an applied program for the profile parameters optimization and force analysis in two teeth difference cycloid gears gearing. The process of optimization for the profile parameters of equivalent substitution tooth and the analysis for forces acted on the teeth are concentrated.The research result can be applied to machining of cycloid in two teeth difference cycloid gears gearing, making the technology simple, and be favorable to mass production.