Modellazione e analisi di travi in parete sottile nell’ambito della Generalized Beam Theory

Gutierrez Sanchez, Alejandro Rafael (2014) Modellazione e analisi di travi in parete sottile nell’ambito della Generalized Beam Theory, [Dissertation thesis], Alma Mater Studiorum Università di Bologna. Dottorato di ricerca in Ingegneria civile e ambientale, 26 Ciclo. DOI 10.6092/unibo/amsdottorato/6629.
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In this work, the Generalized Beam Theory (GBT) is used as the main tool to analyze the mechanics of thin-walled beams. After an introduction to the subject and a quick review of some of the most well-known approaches to describe the behaviour of thin-walled beams, a novel formulation of the GBT is presented. This formulation contains the classic shear-deformable GBT available in the literature and contributes an additional description of cross-section warping that is variable along the wall thickness besides along the wall midline. Shear deformation is introduced in such a way that the classical shear strain components of the Timoshenko beam theory are recovered exactly. According to the new kinematics proposed, a reviewed form of the cross-section analysis procedure is devised, based on a unique modal decomposition. Later, a procedure for a posteriori reconstruction of all the three-dimensional stress components in the finite element analysis of thin-walled beams using the GBT is presented. The reconstruction is simple and based on the use of three-dimensional equilibrium equations and of the RCP procedure. Finally, once the stress reconstruction procedure is presented, a study of several existing issues on the constitutive relations in the GBT is carried out. Specifically, a constitutive law based on mirroring the kinematic constraints of the GBT model into a specific stress field assumption is proposed. It is shown that this method is equally valid for isotropic and orthotropic beams and coincides with the conventional GBT approach available in the literature. Later on, an analogous procedure is presented for the case of laminated beams. Lastly, as a way to improve an inherently poor description of shear deformability in the GBT, the introduction of shear correction factors is proposed. Throughout this work, numerous examples are provided to determine the validity of all the proposed contributions to the field.

Tipologia del documento
Tesi di dottorato
Gutierrez Sanchez, Alejandro Rafael
Dottorato di ricerca
Scuola di dottorato
Ingegneria civile ed architettura
Settore disciplinare
Settore concorsuale
Parole chiave
Thin-walled beams, GBT, Composites, Laminated, Stress recovery, Orthotropic, Equilibrium, Cold-formed, Constitutive law, Internal constraints
Data di discussione
19 Maggio 2014

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