Slant Helix Curves and Acceleration Centers

Authors : Murat BEKAR, Yusuf YAYLI

Pages : 256-271

View : 11 | Download : 4

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