1,721,081 research outputs found

    Shortening Effect on Buckling Behavior of Reddy Plates and Prismatic Plate Structures

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    A closed-form solution based on the Reddy third-order shear deformation plate theory is proposed for the buckling of both flat and stiffened plates, with simply supported on two opposite edges. The effect of the non-linear straindisplacement terms, usually neglected under the von Kármán hypothesis, on the buckling of thick plates is investigated, and the equations governing the critical behaviour considering the full Green-Lagrange strain tensor and the second Piola-Kirchhoff stress tensor are derived using the principle of minimum potential energy. The general Levy-type approach is employed, and the accuracy and effectiveness of the proposed formulation is validated through direct comparison with analytical and numerical results available in the literature. The parametric analyses performed for different geometrical ratios show that the von Kármán hypothesis holds only for thin flat plates whereas it can significantly overestimate buckling loads for stiffened plates, for which the buckling mode entails comparable in-plane and out-of-plane displacemen

    A discrete differential geometry-based approach to buckling and vibration analyses of inhomogeneous Reddy plates

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    In this paper, a novel discrete differential geometry-based numerical procedure for buckling and vibration analyses of rectangular plates with non-uniform thickness is developed. In the proposed approach a plate is discretized using a finite number of rigid bars, lumped masses, and elastic rotational springs to simulate both bending and shear deformation responses, allowing the analysis of thick plates through the adoption of the Reddy’s third-order shear deformable plate theory. An interesting analogy between the proposed model and the central finite difference method for solving a set of partial differential equations is also highlighted, showing how the former can be seen as the physical model behind the mathematical representation of the latter. The numerical results presented show both the versatility and the accuracy of the proposed approach

    Wall structure finite-element by BEM coupling

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    The calculation of structures made of the assembly of several walls requires finite element modeling, henceforth, it gives rise to a large number of degrees of freedom. The actual work shows that the number of parameters is reduced by using boundary elements to derive the stiffness matrix of the element. The proposed technique gives origin to a positive definite and symmetrical matrix due to the use of constant boundary elements. Moreover, the resulting matrix can be assembled together with finite element ones in order to obtain the description of complex three-dimensional structures. Sub-structuring and multi-region modeling are possible and continuity relaxation between elements as well as interface and nonlinear constitutive laws can be comprised. Some examples are reported in order to verify the accuracy and feasibility of the procedure for the elastic case
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