Dept. Math, Hokkaido Univ. EPrints Server

An inverse dynamical problem for connected beams

Preprint Series # 648
Morassi, Antonino and Nakamura, Gen and Sini, Mourad An inverse dynamical problem for connected beams. (2004);

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Abstract

This paper deals with a dynamical inverse problem for a composite beam formed by two connected beams. The vibrations of the composite beam are governed by a differential system where a coupling takes place between longitudinal and bending motions. In this paper, we neglect bending motions and we only deal with the longitudinal motions. These motions are governed by a two-by-two secand order system coupled in the two beams and which contains direct information on the integrity of the system. We prove that the shearing coefficient can be reconstructed from the {\it {frequency respomse function } of the system evaluated at one end of the beam.

Item Type:Preprint
Uncontrolled Keywords:inverse problems, composite beams, Vibrations.
Subjects:00-xx GENERAL
ID Code:195