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Hokkaido University Preprint Series in Mathematics >
An inverse dynamical problem for connected beams
| Title: | An inverse dynamical problem for connected beams |
| Authors: | Morassi, Antonino Browse this author | | Nakamura, Gen Browse this author | | Sini, Mourad Browse this author |
| Keywords: | inverse problems | | composite beams | | vibrations |
| Issue Date: | 20-May-2004 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 648 |
| Start Page: | 1 |
| End Page: | 27 |
| 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69455 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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