PSI - Issue 62

Andrea De Flaviis et al. / Procedia Structural Integrity 62 (2024) 871–878 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

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4. Conclusions Generalized Beam Theory has been applied to study the static and dynamic behavior of an existing box-girder bridge. GBT deformation modes have been evaluated and fundamental concepts, about kinematics, constitutive law and equilibrium have been resumed, in the framework of the GBT-D approach. Then the equations of member analysis have been reported. Solutions in statics and free dynamics, comparing results to those of loading tests and of Operational Modal Analysis respectively, show that the GBT model is able to correctly predict the behavior of the bridge in both cases. Convergence analyses have been performed to show that a small number of deformation modes is sufficient. Some reference has been made to mechanical non-linearity, highlighted during loading tests, which requires a more detailed study, together with the possible implementation of geometric non-linearity. Acknowledgements The first author acknowledges the enterprise Dimensione Solare S.r.l. which co-funds his PhD project. References Basaglia, C., Camotim, D., Silvestre, N., 2011. Non-linear GBT formulation for open-section thin-walled members with arbitrary support conditions. Computers and Structures, 89(21-22) 1906 – 1919. https://doi.org/10.1016/j.compstruc.2011.07.001. Bebiano, R., Silvestre, N., Camotim, D., 2008. Local and global vibration of thin-walled members subjected to compression and non-uniform bending. Journal of Sound and Vibration, 315(3) 509 – 535. https://doi.org/10.1016/j.jsv.2008.02.036. Bebiano, R., Gonçalves, R., Camotim, D., 2015. A cross-section analysis procedure to rationalise and automate the performance of GBT-based structural analyses. Thin-Walled Structures, 92 29 – 47. https://doi.org/10.1016/j.tws.2015.02.017. Brincker, R., Zhang, L., Andersen, P., 2001. Modal identification of output-only systems using frequency domain decomposition. Smart Materials and Structures, 10(3) 441 – 445. https://doi.org/10.1088/0964-1726/10/3/303. Camotim, D., Silvestre, N., Basaglia, C., Bebiano, R., 2008. GBT-based buckling analysis of thin-walled members with non-standard support conditions. Thin-Walled Structures, 46(7 – 9) 800 – 815. https://doi.org/10.1016/j.tws.2008.01.019. Davies, J., M., Leach, P., 1994. First-Order Generalised Beam Theory. Journal of Constructional Steel Research, 31(2-3) 187 – 220. https://doi.org/10.1016/0143-974X(94)90010-8. Gonçalves, R., Ritto-Corrêa, M., Camotim, D., 2010. A new approach to the calculation of cross-section deformation modes in the framework of generalized beam theory. Computational Mechanics, 46 759 – 781. https://doi.org/10.1007/s00466-010-0512-2. Henriques, D., Gonçalves, R., Camotim, D., 2015. A physically non-linear GBT-based finite element for steel and steel-concrete beams including shear lag effects. Thin-Walled Structures, 90 202 – 215. https://doi.org/10.1016/j.tws.2015.01.010. Piccardo, G., Ranzi, G., Luongo, A., 2013. A complete dynamic approach to the Generalized Beam Theory cross-section analysis including extension and shear modes. Mathematics and Mechanics of Solids, 19(8) 900 – 924. https://doi.org/10.1177/1081286513493107. Ranzi, G., Luongo, A., 2011. A new approach for thin-walled member analysis in the framework of GBT. Thin-Walled Structures, 49(11) 1404 – 1414. https://doi.org/10.1016/j.tws.2011.06.008. Silvestre, N., Camotim, D., 2002. First-order generalised beam theory for arbitrary orthotropic materials. Thin-Walled Structures, 40(9) 755 – 789. https://doi.org/10.1016/S0263-8231(02)00025-3. Silvestre, N., Camotim, D., 2003. Nonlinear Generalized Beam Theory for Cold-formed Steel Members. International Journal of Structural Stability and Dynamics, 3(4) 461 – 490. https://doi.org/10.1142/S0219455403001002. Timoshenko, S. P., Goodier, J. N., 1951. Theory of Elasticity. McGraw-Hill, New York. van Overschee, P., De Moor, B., 1996. Subspace Identification for Linear Systems, Theory – Implementation – Applications. Kluwer Academic Publishers. https://doi.org/10.1007/978-1-4613-0465-4. Vlasov, V. Z., 1961. Thin-Walled elastic beams. Israel Program for Scientific Translations.