Frequency analysis of a flexible robot manipulator

Abstract

In this paper, the effect of longitudinal elongation of a flexible robot manipulator is investigated using frequency analysis. The dynamic model of a flexible manipulator without longitudinal elongation is considered and the basic frequency of the flexible manipulator is computed. With the increasing length and weight of the manipulator, the basic frequency decreases. The instability of the dynamic response will occur when the angular velocity exceeds the basic frequency. In order to avoid the unstable dynamics, the longitudinal elongation that is caused by the flexible deformation is considered in the dynamic model. From the frequency analysis, with the increase of angular speed of the manipulator, the basic frequency will rise.