사이클로이드 감속기용 사이클로이드 판기어의 작용력 해석에 관한 연구
(A) Study on Force Analysis of Cycloidal Plate Gears for Cycloid Speed Reducer
사이클로이드 감속기 판기어 작용력 외륜 롤러기어;
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Most industrial machines, high rotational speed can be reduced to a proper degree by applying a rotational torque. For this reason, rotational speed reducer, as a mechanical components, plays a very important role in modern industrial machines. Normally speed reducer has such kinds planetary gear, bevel gear, warm gear and cycloid speed reducer, and etc. Among all of these, cycloid speed reducer owns the best performance, such as, high efficiency, wide utility range, simplified structure. A cycloidal speed reducer is a type of the speed reducers of machinery. The cycloidal speed reducer consists of two cycloidal plate gears, housing roller gear, input shaft, output pin and shaft, and eccentric bearings. Especially the cycloidal plate gear has the peculiar parts of the teeth, because of gearing with the housing roller gear that has the several rollers on the circular line. And then all teeth on the cycloidal plate gear can be designed to contact with the rollers on the housing roller gear at the same time. Therefore the cycloidal plate gear has always contact motion with rollers and the force is interacted between roller gear with cycloidal plate gear. Because the contact force must be required to improve the accuracy in design procedures of cycloidal speed reducers, this paper presents a force analysis approach derived by static force equilibrium condition, geometrical adaptation, instant velocity center method and relative velocity method. By recognizing the rotational force from the input shaft, the cycloidal plate gear will rotate in a contract direction to drive output pin gears connected with the output shaft. One cycle rotation of input shaft will bring one-tooth movement of cycloidal plate gear, so that the rotational speed could be reduced according to the teeth count. To avoid vibration and unbalance motion, pair os cycloidal plate gears are normally employed. This paper use a cycloidal plate gear which is designed and the force which a cycloid speed reducer acts a speed reduction task when it use statics characteristic and kinematics characteristic. This paper present a force analysis theory. After applying the presented force analysis theory, program "CFanalysis" is developed for analysing the force in cycloidal plate gear. With this program the force analysis theory is further identified and for example, force analysis is also performed by using "CFanalysis". The force variation changed with design factors is researched in this paper for cycloid speed reducer. It is hoped to have a benefit to utility the design for cycloid speed reducer.