Bending tests to estimate the axial force in slender beams with unknown boundary conditions |
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| Institution: | 1. State Key Laboratory for Advanced Metals and Materials, University of Science and Technology Beijing, Beijing 100083, P. R. China;2. College of Physics and Electronic Information, Yan’an University, Yan’an, 716000, P. R. China;1. ASTRON, The Netherlands Institute for Radio Astronomy, Postbus 2, 7990 AA, Dwingeloo, The Netherlands;2. Max Planck Institut für Radioastronomie, Auf dem Hügel 69, 53121 Bonn, Germany;3. Jodrell Bank Centre for Astrophysics, School of Physics and Astronomy, The University of Manchester, Manchester, M13 9PL, United Kingdom;4. KIAA, Peking University, Beijing 100871, PR China;5. Station de Radioastronomie de Nançay, Observatoire de Paris, 18330 Nançay, France;6. INAF - Osservatorio Astronomico di Cagliari, via della Scienza 5, 09047 Selargius (CA), Italy;7. Anton Pannekoek Institute for Astronomy, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands |
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| Abstract: | This paper presents a static method for the axial load identification of slender prismatic beams with uncertain length and unknown boundary conditions as is typical of struts and ties of truss structures or tie-rods of arches and vaults. The proposed method requires the knowledge of the beam flexural rigidity only. Flexural displacements or curvatures are measured at five cross sections of the beam subjected to an additional concentred lateral load. Unlike analogous dynamic methods, any set of experimental data may be used in the identification algorithm. The proposed algorithm is verified by means of many numerical and experimental tests on beams having different boundary conditions. Excellent estimates of the axial forces are obtained when the greatest possible distance between sensors is adopted, even if in the presence of high values of the axial forces very accurate displacement measurements are required. |
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| Keywords: | Inverse problem Static test Force identification Tie-rod In situ test |
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