FORCED VIBRATION OF A MASS-LOADED BEAM WITH A HEAVY TIP BODY

The deterministic and random vibration response analysis of a model which simulates a robotic arm has been presented. The mode is considered as a uniform, mass-loaded, hysteretically damped beam, the left end of which is attached by both transnational and rotational springs and the right end of which is free and carrying a heavy tip mass. Modal analysis is adopted to obtain the deterministic and random vibration response of the structure. Based on the natural frequencies and mode shapes, the dynamic displacements, strain and bending moments of the structure have been obtained, and some statistical responses such as the mean square values of the dynamic displacements, strain and bending moments of the structure have been computed. These statistical quantities play an important role in structural reliability analysis. © 1993 Academic Press Limited.