Date of Award
Doctor of Engineering Science in Mechanical Engineering
Mechanical and Industrial Engineering
R. S. Sodhi
M. C. Leu
Ian Sanford Fischer
The rigid body motion is studied in a combination of finitely and infinitesimally separated positions in planar, spherical, and spatial kinematics. A general new method for determining the locations of points and/or lines in a rigid body moving through finitely and infinitesimally separated positions is developed. These points and/or lines would satisfy the constraints of various types of binary links for planar, spherical, and spatial mechanisms.
A unified form of circle-point curve equation is derived for finitely and multiply separated position problems in planar and spherical motions. A graphical method to construct the circle-point and center-point curves and Ball point is also investigated for the PP-PP multiply separated positions problem in planar motion. Instantaneous geometric motion of a rigid body is studied in terms of the instantaneous screw axis for the infinitesimally separated positions in spatial kinematics. Also the finite spatial motion problem is recast in terms of determining the screw parameters directly.
Kim, Hyoung Jun, "Kinematic synthesis of mechanisms for multiply separated positions" (1989). Dissertations. 1233.