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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2005 Volume 324, Pages 20–42 (Mi znsl361)

This article is cited in 11 papers

Determination of the parameters of the system of connected beams from dynamical boundary measurements

M. I. Belisheva, S. A. Ivanovb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University

Abstract: We consider the dynamical inverse problem for a special kind of a two velocity system. The system describes the vibrations of a composite beam formed by two connected beams and we recover the shearing stiffness coefficient. The vibrations of the beam are generated by the control applied to the end of the beam. The inverse data are the response operator and the dynamical measurement at the other end of the beam.

UDC: 517.95

Received: 05.02.2005


 English version:
Journal of Mathematical Sciences (New York), 2006, 138:2, 5491–5502

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