Abstract
In a recent article, Rastegar and Tu (1993), the authors presented a method for determining allowable link shapes for robot manipulators once their preferred operational environment is specified. The operational environment may include the preferred size and geometry of the end-effector task space(s), the obstacle and the installation spaces, and the enclosure within which the robot is to operate. In this method, by defining weighted (preferred) distributions for the task and/or obstacle spaces and for the enclosure geometry, weighted allowable manipulator link shapes are determined. In the present study, the developed method is extended to address the problem of optimal geometric design of robot manipulator link shapes. The developed methods are very simple, numeric in nature, readily implemented on computer, and can be classified as being based on the Monte Carlo method. The extension of the present method to the solution of optimal geometric shape synthesis for task and obstacle spaces is discussed. Numerical examples are presented.