Open AccessNumerical method for an inverse dynamical problem for composite beams
Author(s) -
Antonino Morassi,
Gen Nakamura,
Kenji Shirota,
Mourad Sini
Publication year - 2007
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/73/1/012015
Subject(s) - composite number , inverse , inverse problem , mathematics , computer science , materials science , mathematical optimization , physics , mathematical analysis , algorithm , geometry
In this paper we present a numerical method for an inverse problem ofnondestructive testing for a composite system formed by the connection of a steel beam and areinforced concrete beam. The small vibrations of the composite beam are governed in spaceby two second order and two fourth order dierential operators, which are coupled in the lowerorder terms by two coecients which express the shearing and axial stiness of the connection.Our inverse problem is to determine these stiness coecients by using Neumann type boundarydata measured at one end of the beam and transversal displacements given in an interior portionof the beam axis. We recast the inverse problem as a constrained variational issue and an iteratedprojected gradient method is proposed for the numerical solution of the minimizing problem.Suitable clip-o and mollifier operators are introduced in order to describe the constrainedconditions. The eectiveness of method and the sensitivity of the results to errors in themeasured data are tested on the basis of an extensive series of numerical experiments