• 한국정밀공학회:학술대회논문집
• /
• 한국정밀공학회 2004년도 추계학술대회 논문집
• /
• pp.1398-1401
• /
• 2004

This paper proposes a new approach for the shape design of the rotating outer-ring type epicycloid plate gear by using instant velocity center. First, this method defines the instant velocity centers for rotating outer-ring type epicycloid plate gear and calculates the contact angles and the contact points by using the geometric relationships and the kinematic properties of the reducer. Second, it generates the full shape of the cycloidal plate gear. Finally, the paper develops CAD-program for construction of the design automation using the proposed method. This CAD-program is developed to have the functions of the friendly user interface and the simulation of the real operation for the cycloid reducer.

• 한국정밀공학회:학술대회논문집
• /
• 한국정밀공학회 2005년도 춘계학술대회 논문집
• /
• pp.1652-1655
• /
• 2005

All teeth on the cycloidal plate gear exist in the contact motion with rollers and the forces are interacted between roller gears with cycloidal plate gears. So, the contact forces and friction forces must be required to improve the accuracy in design procedures of cycloidal speed reducers. This paper presents a force analysis considered the friction effect approach derived by static force equilibrium condition, geometrical adaptation, instant velocity center method and relative velocity method. Finally, the paper develops CAD-program for the construction of the design automation using the proposed method.

• East Asian mathematical journal
• /
• 제26권4호
• /
• pp.447-461
• /
• 2010

Papert [17] introduced the LOGO environment in which we make a curve using LOGO commands (FORWARD, ROTATE). We call this geometry as turtle geometry. This environment has influenced many researchers and designers of computers and mathematics education. But the curve that we can make using LOGO command is elementary or too difficult. Polygon and circle is elementary and making other curves is difficult. In this paper, we introduce the method of drawing some other curves mediating new command. First, we study epicycloid and hypocycloid in the historical and the physical context. And we introduce the method of making epicycloid and hypocycloid using vector addition. Next we study the polygon patterns of this curve. Finally, we extend the method for making more general curve and we improve the computer environment using this metaphor.

• 대한기계학회논문집A
• /
• 제35권3호
• /
• pp.241-250
• /
• 2011

본 논문에서는 하이포 및 에피 사이클로이드 곡선 사이에 원호 곡선을 삽입하여 내부로터를 설계하고 로터 회전시뮬레이션 및 간섭회피를 위한 수정법을 통해 외부로터를 설계하는 방식의 제로터를 개발하였다. 또한 접촉점을 이용한 기존의 유량계산법을 사용할 수 없는 경우에 유량 및 유량맥동을 도출할 수 있는 챔버면적 계산법을 개발하였다. 이와 같은 방식의 제로터는 로터 설계시 첨점 및 루프가 발생하지 않으며, 내부로터의 하이포 사이클로이드 및 원호 곡선 연결점에서 새로운 설계변수인 경사각 $\gamma$가 추가되어 편심량 설정시 첨점 및 루프 발생 방지조건 또는 이끝폭의 설계 한계조건으로부터 제한을 받지 않는다. 따라서 설계자는 편심량 및 각도 $\gamma$를 조절함으로써 실제 산업현장에서 보다 효과적으로 로터 최적설계를 수행할 수 있다.