Equilibrium solutions of the restricted problem of 2 + 2 axisymmetric rigid bodies

1991 ◽  
Vol 50 (3) ◽  
pp. 199-208 ◽  
Author(s):  
S. M. El-Shaboury
Keyword(s):  
Restricted Problem ◽  
Rigid Bodies ◽  
Equilibrium Solutions

Contact Force Analysis in Static Two-Fingered Robot Grasping

2013 ◽  
Author(s):  
I Cheng ◽  
C. H. Liu ◽  
Yin-Tien Wang
Keyword(s):  
Rigid Bodies ◽  
The Body ◽  
Contact Forces ◽  
Contact Theory ◽  
Force Analysis ◽  
Equilibrium Solutions ◽  
Spherical Object ◽  
Closed Form Solutions ◽  
Robot Grasping ◽  
Force Displacement

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.

scholarly journals The Stability of Solutions of Sitnikov Restricted Problem of three Bodies When the Primaries are Triaxial Rigid Bodies

2015 ◽  
Vol 19 (2) ◽  
pp. 76-78
Author(s):  
R.R. Thapa
Keyword(s):  
Restricted Problem ◽  
Principal Axis ◽  
Rigid Bodies ◽  
The Body ◽  
Stability Of Solutions ◽  
Centre Of Mass ◽  
Axis Of Symmetry ◽  
The Stability ◽  
Axes Of Symmetry ◽  
Infinitesimal Mass

The paper deals with the stability of the solutions of Sitnikov's restricted problem of three bodies if the primaries are triaxial rigid bodies. The infinitesimal mass is moving in space and is being influenced by motion of two primaries (m1>m2). They move in circular orbits without rotation around their centre of mass. Both primaries are considered as axis symmetric bodies with one of the axes as axis of symmetry whose equatorial plane coincides with motion of the plane. The synodic system of co-ordinates initially coincides with inertial system of co-ordinates. It is also supposed that initially the principal axis of the body m1 is parallel to synodic axis and are of the axes of symmetry is perpendicular to plane of motion.Journal of Institute of Science and Technology, 2014, 19(2): 76-78

Sign in / Sign up

Export Citation Format

Share Document