New first order shear deformation beam theory with in-plane shear influence

Senjanović, Ivo; Vladimir, Nikola; Hadžić, Neven; Tomić, Marko

doi:10.1016/j.engstruct.2015.11.032

Cited by 10 publications

(2 citation statements)

References 16 publications

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“…First of all, in the mathematical model presented in [7], a balloon tyre is modelled as a ring with shear stiffness that does not comply with an essential membrane structure. Shear stiffness is normally attributable to thick structural elements like beams, plates and shells [34][35][36]. The balloon is exposed to very large membrane deformation and its circumferential generatrix behaves like a string on an elastic foundation.…”

Section: Discussionmentioning

confidence: 99%

Mathematical Model for the Simulation of Contact-Induced Standing Waves in Tyres by a Rotating Ring Based on Experiment

2022

IJEM

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A physics-based mathematical model for the simulation of contact-induced standing waves in rotating tyres is presented. A toroidal balloon mounted on a hub, in contact with a rigid flywheel, is considered. The distance between the hub and the flywheel shafts is kept constant during rotation. The balloon is modelled as a membrane structure, i.e. as a ring on elastic support without flexural stiffness. The differential equations of motion for the ring radial and circumferential displacements are formulated according to the cylindrical shell theory. It is found that the critical rotation speed is a transition parameter from a stable to unstable state, whereas the standing waves denote ring post-buckling behaviour. Boundary conditions at the ring and flywheel contact edges are specified so as to ensure the continuity of ring deformation. The internal load due to the penetration of the flywheel into the expanded ring, as well as the reaction forces in shaft bearings, are determined. The influence of the circumferential displacement on ring response is also analysed. The analytical procedure is verified by comparing the numerical and the available experimental results. In spite of a rather simple balloon model, a good qualitative agreement between the two sets of results is obtained.

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Section: Discussionmentioning

confidence: 99%

Mathematical Model for the Simulation of Contact-Induced Standing Waves in Tyres by a Rotating Ring Based on Experiment

2022

IJEM

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“…A comprehensive higher order beam formulation was presented by Argyris and Kačianauskas (1996). However, increased efforts have not lead to higher accuracy, therefore the first order shear deformation theory remains in practical use (Senjanović et al 2016). Generally, the limit states of steel structures can be studied using 3D models based on shell (Ádány 2014;Jönsson, Stand 2017) or solid (Králik 2009; Kala, Valeš 2017) finite elements.…”

Section: Introductionmentioning

confidence: 99%

Random Fields of Initial Out of Straightness Leading to Column Buckling

Kala

Valeš

Jönsson

2017

Journal of Civil Engineering and Management

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The elastic load-carrying capacity and buckling trajectory of steel columns under compression with open and hollow cross-sections, whose axis is curved by spatial random fields, are studied in the article. As a result of the spatial curvature of the axis the cross-sections are subjected to compression, bending and torsion from the onset of loading. Numerical simulations are performed using the geometrically non-linear model created using the ANSYS software package. Each simulation run has input random realizations of yield strength and the random field generated using the Latin Hypercube Sampling method. In the plane perpendicular to a perfectly straight column axis, the random observations of deformation trajectories of a node in the middle of the column height are studied. The increasing compression load moves the node along the curve path (open sections) or along the linear path (hollow sections). Large discrepancies in the deformation trajectories of open sections (curvilinear paths) and hollow sections (linear paths) were observed from the comparison of simulation runs. The average and design load-carrying capacities of compressed columns with open cross-sections are lower in comparison to columns with hollow cross-sections due to the lower efficiency of open cross-sections in torsion.

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