Mathematical Modeling Of Four Finger Robotic Grippers

TL;DR

This paper presents a comprehensive mathematical model for a four-finger tendon-driven robotic gripper, including kinematic, force, and dynamic analyses, to optimize its design and performance for industrial applications.

Contribution

It introduces a detailed mathematical framework for a four-finger robotic gripper with dynamic and force analysis, enhancing understanding of its operation and control.

Findings

Linear force-displacement behavior up to 250 N

Maximum grasping load of 1 kg with 0.86 mm wire diameter

Calculated torque requirements for finger movements

Abstract

Robotic grippers are the end effector in the robot system of handling any task which used for performing various operations for the purpose of industrial application and hazardous tasks.In this paper, we developed the mathematical model for multi fingers robotics grippers. we are concerned with Jamia'shand which is developed in Robotics Lab, Mechanical Engineering Deptt, Faculty of Engg & Technolgy, Jamia Millia Islamia, India. This is a tendon-driven gripper each finger having three DOF having a total of 11 DOF. The term tendon is widely used to imply belts, cables, or similar types of applications. It is made up of three fingers and a thumb. Every finger and thumb has one degree of freedom. The power transmission mechanism is a rope and pulley system. Both hands have similar structures. Aluminum from the 5083 families was used to make this product. The gripping force can be adjusted we have done the kinematics, force, and dynamic analysis by developing a Mathematical model for the four-finger robotics grippers and their thumb. we focused it control motions in X and Y Displacements with the angular positions movements and we make the force analysis of the four fingers and thumb calculate the maximum weight, force, and torque required to move it with mass. Draw the force -displacements graph which shows the linear behavior up to 250 N and shows nonlinear behavior beyond this. and required Dmin of wire is 0.86 mm for grasping the maximum 1 kg load also developed the dynamic model (using energy )approach lagrangian method to find it torque required to move the fingers.