Abstract
Much effort had been devoted to studying fuzzy structure models in which the master structure is a large rigid body. At a time when activity in fuzzy structures began to wane, a paper by Drexel and Ginsberg [J. Vib. Acoust. 123, 181–187 (2001)] provided a quantitative model for testing the validity of assumptions embedded in the notion of a fuzzy structure. Its model was a cantilever beam with an finite number of attached SDOF oscillators. A state space formulation in conjunction with a Ritz series led to responses in the frequency and time domains. The investigation used idealized properties in which the attached SDOFs are positioned uniformly along the span and their fixed base natural frequencies are equally spaced around a center frequency that equals an isolated natural frequency of the beam. In addition, the natural frequency of each SDOF was taken to increase linearly with distance from the fixed end of the beam. The presentation will provide the details of the model and analysis, then highlight the similarites and differences of responses obtained from the models of the master structure as a rigid body and a cantilver beam.
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