Bobillier Formula for One Parameter Motions in the Complex Plane

Ersoy, Soley

dc.contributor.authors	Ersoy, S; Bayrak, N;
dc.date.accessioned	2020-01-17T08:21:47Z
dc.date.available	2020-01-17T08:21:47Z
dc.date.issued	2012
dc.identifier.citation	Ersoy, S; Bayrak, N; (2012). Bobillier Formula for One Parameter Motions in the Complex Plane. JOURNAL OF MECHANISMS AND ROBOTICS-TRANSACTIONS OF THE ASME, 4, -
dc.identifier.issn	1942-4302
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6168
dc.identifier.uri	https://doi.org/10.1115/1.4006195
dc.description.abstract	This is a brief note expanding on the aspect of Fayet (2002, "Bobillier Formula as a Fundamental Law in Planar Motion," Z. Angew. Math. Mech., 82(3), pp. 207-210), which investigates the Bobillier formula by considering the properties up to the second order planar motion. In this note, the complex number forms of the Euler Savary formula for the radius of curvature of the trajectory of a point in the moving complex plane during one parameter planar motion are taken into consideration and using the geometrical interpretation of the Euler Savary formula, Bobillier formula is established for one parameter planar motions in the complex plane. Moreover, a direct way is chosen to obtain Bobillier formula without using the Euler Savary formula in the complex plane. As a consequence, the Euler Savary given in the complex plane will appear as a particular case of Bobillier formula. [DOI: 10.1115/1.4006195]
dc.language	English
dc.publisher	ASME-AMER SOC MECHANICAL ENG
dc.subject	Robotics
dc.title	Bobillier Formula for One Parameter Motions in the Complex Plane
dc.type	Article
dc.identifier.volume	4
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Ersoy, Soley
dc.relation.journal	JOURNAL OF MECHANISMS AND ROBOTICS-TRANSACTIONS OF THE ASME
dc.identifier.wos	WOS:000310596000017
dc.identifier.doi	10.1115/1.4006195
dc.contributor.author	Ersoy, Soley