Abstract

Gideon and I were both introduced to the ideas of “Fuzzy Structure Theory” during a visit with Christian Soize while involved in an exchange meeting between the U.S. Navy and the French Navy in 1986. In the years just prior to his passing, he together with Ron Hughes pursued this subject, and that work is also presented in this session. My presentation, a continuation of work that I had originally done with Murray Strasberg, discusses the transient response of a multiple set of fuzzy structures attached to a master structure, either a longitudinally or flexurally vibrating beam, that itself has multiple resonances. The transient response of the subordinate oscillators in certain parameter ranges gives rise to distinct packets of energy traveling with different wave speeds. This phenomenon has not been previously observed, and a tentative explanation is offered.

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