Search results for "Hamiltonian Structural Analysis"

showing 4 items of 4 documents

Analysis of non-uniform torsion in curved incrementally launched bridges

2014

Abstract Incremental launching is a common and convenient methodology to build continuous girder bridges on several piers. Although it has mainly been applied to straight bridges with box sections, today it is also used for construction of horizontally curved bridges with concrete and composite steel–concrete closed or open sections like I-girders. In these cases the contribution of torsion to the stress state becomes of primary importance when the construction stages of these bridges are analysed. Moreover, the presence of thin-walled cross-sections, makes the analysis of non-uniform torsion fundamental when the angle of twist per unit length is not constant or warping is prevented in thos…

WarpingTimoshenko beam theoryIncremental launchingEngineeringbusiness.industryHamiltonian Structural Analysis methodTorsion (mechanics)Box sectionStructural engineeringFinite element methodI-girderSettore ICAR/09 - Tecnica Delle Costruzionisymbols.namesakeNon-uniform torsionGirdersymbolsImage warpingTwistBridgebusinessHamiltonian (quantum mechanics)Boundary element methodCivil and Structural EngineeringEngineering Structures
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Symplectic analysis of thin-walled curved box girders with torsion, distortion and shear lag warping effects

2022

Shear lag effect and torsional and distortional warping can significantly affect the performance of thin-walled curved box girders used in modern bridge engineering. The structural behaviour of these bridges exhibits complexity due to coupled bending and torsion together with warping effects of non-uniform torsion, distortion and shear lag. A practical method of analysis, based on the symplectic approach, with the same perspective as the Higher Order Beam Theories, is presented for overcoming the difficulties of numerical approaches via the Finite Element Method. In this paper, the Hamiltonian Structural Analysis method implements the analysis of the shear lag effect together with non-unifo…

WarpingSymplectic ElasticityHamiltonian Structural AnalysisMechanical EngineeringShear-lagTimoshenko curved beamsDistortionBuilding and ConstructionCurved bridgesNon-uniform torsionGBTThin-walled beamsBox girdersHigher Order Beam TheoriesCivil and Structural Engineering
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Unified theory for analysis of curved thin-walled girders with open and closed cross section through HSA method

2016

Abstract The behaviour of thin-walled structures is deeply influenced by non-uniform torsion and cross section distortion. In this paper the extension of the Hamiltonian Structural Analysis (HSA) Method to thin-walled straight and curved beams is presented. The proposed method solves the structural elastic problem of thin-walled beams through the definition of a Hamiltonian system composed of 1st order differential equations. The method allows engineers to solve the elastic problem by introducing the degrees of freedom and the corresponding compatibility equations, founding equilibrium equations in the variational form. The methodology is explained in the framework of the so-called Generali…

Timoshenko beam theoryCurved beamDifferential equationThin-walled structuresTorsion (mechanics)020101 civil engineeringDistortion02 engineering and technologyElastic foundation0201 civil engineeringHamiltonian systemTransfer matricesSettore ICAR/09 - Tecnica Delle Costruzioni020303 mechanical engineering & transportsClassical mechanicsExact solutions in general relativity0203 mechanical engineeringHamiltonian structural analysisGirderBeam on elastic foundation analogyUnified field theoryBeam (structure)Civil and Structural EngineeringMathematicsGeneral beam theory
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Influence of secondary torsion on curved steel girder bridges with box and I-girder cross-sections

2015

Steel curved girder bridges are largely used today in motorways and railways. They are often composed of thin-walled crosssections, entirely made of steel or with an upper concrete slab. The deck may have I-girders or box cross-sections: in any case curved girders are subjected to twisting moment, associated with bending, even for dead loads. Moreover, in thin-walled sections the influence of non-uniform torsion becomes sizable with respect to Saint Venant torsion, modifying the state of tangential stresses in the section and introducing axial stresses due to warping being prevented. Open sections of I-girder bridges are especially subject to these phenomena and warping can be significant n…

EngineeringHamiltonian Structural Analysisbusiness.industrybox sectionnon-uniform torsionBox girderTorsion (mechanics)warpingStructural engineeringCurvatureFinite element methodDeckcurved bridgeI-girderSettore ICAR/09 - Tecnica Delle CostruzioniStructural loadcurved bridge steel non-uniform torsion I-girder box section Hamiltonian Structural Analysis transfer matricesGirdertransfer matricesPhysics::Accelerator PhysicssteelImage warpingbusinessCivil and Structural Engineering
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