Slant Helix Curves and Acceleration Centers

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Gazi University Journal of Science
Volume:32 Issue:1
Slant Helix Curves and Acceleration Centers

Slant Helix Curves and Acceleration Centers

Authors : Murat BEKAR, Yusuf YAYLI

Pages : 256-271

View : 101 | Download : 10

Publication Date : 2019-03-01

Article Type : Research Paper

Abstract :In this study, an alternative one-parameter motion to Frenet motion of a rigid-body in 3-dimensional Euclidean space E 3 is given by moving the coordinate frame { N , C , W } instead of the Frenet frame { T , N , B } along a unit speed curve a insert ignore into journalissuearticles values( t ); , where , N , C and W correspond, respectively, to unit principal normal vector field, derivative vector field of the unit principal normal vector field and Darboux vector field of the unit speed curve a insert ignore into journalissuearticles values( t ); . Also the concepts fixed axode, striction curve, instantaneous pole points, acceleration pole points insert ignore into journalissuearticles values(or acceleration centers); and instant screw axis insert ignore into journalissuearticles values(ISA); of this alternative one-parameter motion are studied.
Keywords : Cylindrical helix, C Slant helix, Striction curve, Rigid body motion, Acceleration center

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.