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An inverse dynamical problem for connected beams

Published online by Cambridge University Press:  23 March 2005

A. MORASSI ,
G. NAKAMURA  and
M. SINI
A. MORASSI
Affiliation:
Department of Georesources and Territory, University of Udine, 33100 Udine, Italy email: antonino.morassi@uniud.it
G. NAKAMURA
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan email: gnaka@math.sci.hokudai.ac.jp
M. SINI
Affiliation:
Corresponding author, Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan email: sini@math.sci.hokudai.ac.jp
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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 second order system coupled in the lower order terms by the shearing stiffness coefficient, which models the connection between the two beams and which contains direct information on the integrity of the system. We prove that the shearing stiffness coefficient can be reconstructed from the frequency response function of the system evaluated at one end of the beam.

Information

Type
Papers
Information
European Journal of Applied Mathematics , Volume 16 , Issue 1 , February 2005 , pp. 83 - 109
Copyright
2005 Cambridge University Press

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