The equilibrium solutions of the restricted problem of three rigid bodies with variable mass

1989 ◽  
Vol 155 (2) ◽  
pp. 209-214 ◽  
Author(s):  
S. M. Elshaboury
Author(s):  
I Cheng ◽  
C. H. Liu ◽  
Yin-Tien Wang

Static grasping of a spherical object by two robot fingers is studied in this paper. The fingers may be rigid bodies or elastic beams, they may grasp the body with various orientation angles, and the tightening displacements may be linear or angular. Closed-form solutions for normal and tangential contact forces due to tightening displacements are obtained by solving compatibility equations, force-displacement relations based on Hertz contact theory, and equations of equilibrium. Solutions show that relations between contact forces and tightening displacements depend upon the orientation of the fingers, the elastic constants of the materials, and area moments of inertia of the beams.


Sign in / Sign up

Export Citation Format

Share Document