.... These results are also verified through elegant geometric reasoning based on curvature theory in-plane kinematics. In the end, stability analyses of some physical systems containing generic contacting curves are illustrated, and the results are presented with physical interpretations. Email: alinjar.dan...

...Cody Leeheng Chan; Kwun-Lon Ting In differential geometry, a curve is characterized by the curvature properties and so is a point trajectory in curvature theory. However, due to the rolling and sliding between contact curves, the characterization of enveloping curves embedded on rigid bodies...

... for Spherical and Spatial Motions ,” ASME J. Mech. Des. , 127 ( 2 ), pp. 227 – 231 . 10.1115/1.1828462 [11] Soni , A. H. , Siddhanty , M. N. , and Ting , K. L. , 1979 , “ Higher Order Planar Tangent-Line Envelop Curvature Theory ,” ASME J. Mech. Des. , 101 ( 4 ), pp. 563 – 568 . 10.1115...

... , 21 ( 6 ), pp. 489 – 498 . 10.1016/0094-114X(86)90132-1 Stanišić , M. M. , Lodi , K. , and Pennock , G. R. , 1992 , “ The Application of Curvature Theory to the Trajectory Generation Problem of Robot Manipulators ,” ASME J. Mech. Des. 0161-8458 , 114 , pp. 677 – 680...