Search results for " Curved beam"

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Hamiltonian structural analysis of curved beams with or without generalized two-parameter foundation

2013

The solution of curved Timoshenko beams with or without generalized two-parameter elastic foundation is presented. Beam can be subjected to any kind of loads and imposed external actions, distributed or concentrated along the beam. It can have external and internal restraints and any kind of internal kinematical or mechanical discontinuity. Moreover, the beam may have any spatial curved geometry, by dividing the entire structure into segments of constant curvature and constant elastic properties, each segment resting or not on elastic foundation. The foundation has six parameters like a generalized Winkler soil with the addition of other two parameters involving the link between settlements…

Timoshenko beam theoryComputational complexity theoryDifferential equationMechanical EngineeringHamiltonian system HSA method Transfer matrices Two-parameter foundation Curved beam Timoshenko beam DiscontinuitiesClassification of discontinuitiesHamiltonian systemConstant curvatureSettore ICAR/09 - Tecnica Delle Costruzionisymbols.namesakeClassical mechanicssymbolsHamiltonian (quantum mechanics)Beam (structure)MathematicsArchive of Applied Mechanics
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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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