Technical Drawing in Photonics Lesson 6 Drawing of

Technical Drawing in Photonics Lesson 6 Drawing of different cycloids. Dr. Zsolt István Benkő TAMOP-4. 1. 1. C-12/1/KONV-2012 -0005 project „Preparation of the concerned sectors for educational and R&D activities related to the Hungarian ELI project”

Lesson 6 A cycloid is a trajectory of a point which is fixed to the perimeter of a rolling circle. (The circle rolls on a line. ) If the point is not on the perimeter but outside the circle the curve traced out is a prolate cycloid. If the point is not on the perimeter but inside the circle the curve traced out is a curtate cycloid. All the previously described curves can be referred as trochoids. Technical drawing in Photonics

Lesson 6 If the point is fixed to the perimeter of a circle which rolls inside of an other circle then the trajectory is called hypocycloid. If the fixed point is not on the perimeter of a circle which rolls inside of an other circle then the trajectory is called hypotrochoid. If the point is fixed to the perimeter of a circle which rolls outside of an other circle then the trajectory is called epicycloid. If the fixed point is not on the perimeter of a circle which rolls outside of an other circle then the trajectory is called epitrochoid. Technical drawing in Photonics

Lesson 6 Drawing of a cycloid. Technical drawing in Photonics

Lesson 6 Drawing of a cycloid. Technical drawing in Photonics

Lesson 6 Drawing of a cycloid. Technical drawing in Photonics

Lesson 6 Drawing of a cycloid. Technical drawing in Photonics

Lesson 6 Drawing of a cycloid. Technical drawing in Photonics

Lesson 6 Drawing of a cycloid. Technical drawing in Photonics

Lesson 6 Cycloid Technical drawing in Photonics

Lesson 6 Prolate cycloid Technical drawing in Photonics

Lesson 6 Curtate cycloid Technical drawing in Photonics

Lesson 6 Epicycloid The ratio of the radii is integer. Technical drawing in Photonics

Lesson 6 Epicycloid The ratio of the radii is a rational number. The curve is closing. Technical drawing in Photonics

Lesson 6 Epicycloid The ratio of the radii is an irrational number. The curve is never closing. Technical drawing in Photonics

Lesson 6 Hypocycloid The ratio of the radii is integer. Technical drawing in Photonics

Lesson 6 References 1. 2. 3. Ocskó Gy. , Seres F. : Gépipari szakrajz, Skandi-Wald Könyvkiadó, Budapest, 2004 Lőrincz P. , Petrich G. : Ábrázoló geometria, Nemzeti Tankönyvkiadó Rt. , Budapest, 1998 Pintér M. : Auto. CAD tankönyv és példatár, Computer. Books, Budapest, 2006 Technical drawing in Photonics