A Minimal GBT Model for Distortional-Twist Elastic Analysis of Box-Girder Bridges
Source abstract
Abstract
A simple and efficient method is proposed for the analysis of twist of rectangular box-girder bridges, which undergo distortion of the cross section. The model is developed in the framework of the Generalized Beam Theory and oriented towards semi-analytical solutions. Accordingly, only two modes are accounted for: (i) the torsional mode, in which the box-girder behaves as a Vlasov beam under nonuniform torsion, and, (ii) a distortional mode, in which the cross section behaves as a planar frame experiencing skew-symmetric displacements. By following a variational approach, two coupled, fourth-order differential equations in the modulating amplitudes are obtained. The order of magnitude of the different terms is analyzed, and further reduced models are proposed. A sample system, taken from the literature, is considered, for which generalized displacement and stress fields are evaluated. Both a Fourier solution for the coupled problem and a closed-form solution for the uncoupled problem are carried out, and the results are compared. Finally, the model is validated against finite element analyses.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Structural Load-Bearing Analysis · Railway Engineering and Dynamics · Structural Health Monitoring Techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Civil, Construction-Architectural and Environmental Engineering, University of L’Aquila, 67100 L’Aquila, Italy
References (37)
Show source-provided references
1. Vlasov, V.Z. (1961). Thin-Walled Elastic Beams, Monson.
2. BEF Analogy for Analysis of Box-Girders
3. Il calcolo dei ponti a cassone unicellulare con pareti sottili
4. The effects of additional deformations in box-beam bridges on the longitudinal stresses and transverse moments10.1016/0045-7949(83)90110-4 ↗
5. Arici, M., Granata, M., and Recupero, A. (2010, January 22–24). BEF Analogy for Concrete Box Girder Analysis of Bridges. Proceedings of the 34th International Symposium on Bridge and Structural Engineering, Venice, Italy.10.2749/venice.2010.0118 ↗
6. Appraisal of simplified methods for the analysis of box-girder bridges
7. Distortional analysis of simply supported box girders with inner diaphragms considering shear deformation of diaphragms using initial parameter method10.1016/j.engstruct.2017.05.004 ↗
8. Distortion (and Torsion) of Rectangular Thin-Walled Beams10.1016/0263-8231(90)90062-4 ↗
9. Torsion of Box Girders with Deformable Cross Sections10.1061/(ASCE)0733-9399(1991)117:10(2179) ↗
10. Influence of in-plane deformation in higher order beam theories
11. A one-dimensional beam-like model for double-layered pipes10.1016/j.ijnonlinmec.2018.11.006 ↗
12. Zulli, D., Casalotti, A., and Luongo, A. (2021). Static Response of Double-Layered Pipes via a Perturbation Approach. Appl. Sci., 11.10.3390/app11020886 ↗
13. A non-linear one-dimensional model of cross-deformable tubular beam10.1016/j.ijnonlinmec.2014.03.008 ↗
14. A 1D nonlinear TWB model accounting for in plane cross-section deformation10.1016/j.ijsolstr.2016.04.017 ↗
15. Instances of mixed buckling and post-buckling of steel RHS beams10.1016/j.ijmecsci.2020.106013 ↗
16. Cheung, Y.K. (1976). Finite Strip Method in Structural Analysis, Pergamon Press.10.1016/B978-0-08-018308-4.50006-7 ↗
17. Finite strip method: 30 Years—A bibliography (1968–1998)10.1108/02644400010308099 ↗
18. A full modal decomposition of thin-walled, single-branched open cross-section members via the constrained finite strip method10.1016/j.jcsr.2007.04.004 ↗
19. Schardt, R. (1989). Verallgemeinerte Technicsche Biegetheorie, Springer.10.1007/978-3-642-52330-4 ↗
20. Flexural Torsional Behaviour of Thin Walled Mono Symmetric Box Girder Structures
21. Second-Order Generalised Beam Theory10.1016/0143-974X(94)90011-6 ↗
22. The Calculation of Modal Cross-Section Properties for use in the Generaliszd Beam Theory10.1016/0263-8231(94)90005-1 ↗
23. First-order generalised beam theory for arbitrary orthotropic materials10.1016/S0263-8231(02)00025-3 ↗
24. A new approach to the calculation of cross-section deformation modes in the framework of generalized beam theory10.1007/s00466-010-0512-2 ↗
25. A cross-section analysis procedure to razionalise and automate the performance of GBT-based structural analyses10.1016/j.tws.2015.02.017 ↗
26. A novel straightforward dynamic approach for the evaluation of extensional modes within GBT ’cross-section analysys’10.1016/j.tws.2017.01.001 ↗
27. A new approach for thin-walled member analysis in the framework of GBT10.1016/j.tws.2011.06.008 ↗
28. A complete dynamic approach to the Generalized Beam Theory cross-section analysis including extension and shear modes10.1177/1081286513493107 ↗
29. A direct approach for the evaluation of the conventional modes within the GBT formulation10.1016/j.tws.2013.09.008 ↗
30. An unconstrained dynamic approach for the Generalised Beam Theory10.1007/s00161-014-0358-5 ↗
31. A generalized beam theory with shear deformation
32. On the relationship of the shear deformable Generalized Beam Theory with classical and non-classical theories10.1016/j.ijsolstr.2014.07.001 ↗
33. Analysis of warping and distortion transmission in mixed shell–GBT (generalized beam theory) models10.1007/s40091-019-0221-9 ↗
34. Combining shell and GBT-based finite elements: Linear and bifurcation analysis10.1016/j.tws.2020.106665 ↗
35. Distortional Analysis of Beams of Arbitrary Cross Section Using BEM10.1061/(ASCE)EM.1943-7889.0001340 ↗
36. Silvker, V. (2007). Closed-profile thin-walled bars—A theory by Umanski. Mechanics of Structural Elements-Theory and Applications, Springer.10.1007/978-3-540-44721-4 ↗
37. Generalized Beam Theoy—An Adequate Method for Coupled Stability Problems10.1016/0263-8231(94)90027-2 ↗