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Structural Engineering and Mechanics
  Volume 21, Number 3, October20 2005 , pages 237-254

Analysis of a force reconstruction problem
E. Jacquelin, A. Bennani and M. Massenzio

    This article deals with the reconstruction of an impact force. This requires to take measurements from the impacted structures and then to deconvolve those signals from the impulse response function. More precisely, the purpose of the work described here is to analyse the method of deconvolution and the problems that it implies. Thus, it is highlighted that the associated deconvolution problem depends on the location of the measurement points: it is possible or not to reconstruct the force of impact in function of the location of this point. Then, the role of the antiresonances is linked up with this problem. The singular value decomposition is used to understand these difficulties. Numerical predictions are compared and validated with experiments.
Key Words
    inverse problem; impact force history; deconvolution; antiresonances.
Laboratoire MŽcanique MatŽriaux Structures, Universite Claude Bernard Lyon 1, 82 Bd Niels Bohr, Domaine Scientifique de la Doua, 69622 Villeurbanne Cedex, France

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