CAJ | 학술논문

通过分析常用的摆动从动件圆锥凸轮轮廓线曲率半径的设计误差，引入圆锥凸轮从动件运动轨迹的空间坐标表达式，利用偏离角的概念，建立无误差且便于对圆锥凸轮进行分析、设计和作图的3D理论轮廓展开线极坐标参数方程；推导得出基于从动件运动规律及凸轮基准极径的展开线曲率半径解析表达式，并由此建立最小允许的圆锥凸轮基准极径值关于许用曲率半径值的函数关系式；通过实例分析，绘制展开线上曲率半径的最小值随圆锥凸轮基准极径变化的关系曲线，从而确定圆锥凸轮的基本参数；与现有摆动从动件圆锥凸轮设计方法的比较印证了该方法的有效性，具有极大的理论价值。
통과분석상용적파동종동건원추철륜륜곽선곡솔반경적설계오차，인입원추철륜종동건운동궤적적공간좌표표체식，이용편리각적개념，건립무오차차편우대원추철륜진행분석、설계화작도적3D이론륜곽전개선겁좌표삼수방정；추도득출기우종동건운동규률급철륜기준겁경적전개선곡솔반경해석표체식，병유차건립최소윤허적원추철륜기준겁경치관우허용곡솔반경치적함수관계식；통과실례분석，회제전개선상곡솔반경적최소치수원추철륜기준겁경변화적관계곡선，종이학정원추철륜적기본삼수；여현유파동종동건원추철륜설계방법적비교인증료해방법적유효성，구유겁대적이론개치。
The errors exist in the currently used method to calculate radius of curvature of an oscillating follower conical cam’s expansion pitch curve are analyzed. Space coordinates of the follower’s motion track are utilized, and with the consideration of deviation angle, polar equation of 3D expansion pitch curve is established, which is error free and can be easily plotted and used to analyze and design a conical cam. The deduced expression of radius of curvature is based on motion law of the mechanism and prime polar radius of the cam, and the function of minimum prime polar radius of conical cam with respect to allowable radius of curvature is established through this expression. Through example analysis, the relation curve between the minimum radius of curvature and the prime polar radius is described, and geometric parameters of a conical cam are designed. The feasibility of our methodology is validated by comparing with the currently used oscillating follower conical cam’s design method, with great theoretical value.