Abstract
A general procedure for determining the dynamic response of a mass‐loaded free free beam subjected to a harmonic and transient force is given. Though free free beams are considered for analysis, the same procedure could be extended for other end conditions also. The beam is assumed to have structural damping for determining the steady‐state response due to harmonic force excitation. The mode shapes for free vibration, dynamic response, and dynamic strain due to forced excitation are presented in a graphical form. The analysis is used to study a space structure, modeled as a mass‐loaded free free beam, by making an exhaustive optimization search for minimum dynamic response due to harmonic and transient excitation forces. The computer program developed for the analysis is used to check some simple beam problems [G. B. Warburton, The Dynamical Behaviour of Structures (Pergamon, New York, 1976)]. [Work supported by SDIO/DNA, Contract No. DNA‐001‐85‐C‐0183.]
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