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Sun Qin - One of the best experts on this subject based on the ideXlab platform.

  • A Generalized Compatibility Quadrilateral Thin Plate Bending Element
    Computer Simulation, 2010
    Co-Authors: Sun Qin
    Abstract:

    In order to get over the difficulty in designing the displacement type quadrilateral thin Plate Bending element,based on the modified minimum potential energy principle,a new method to construct the generalized compatible displacement is proposed,and a displacement type quadrilateral thin Plate Bending element Q8P is presented in this paper.The new element passes the constant stress patch test.When the boundary Bending moment,twisting moment and transverse shear are constants,the additional energy caused by the nonconforming displacement vanishes.This element is convergent,efficient and promises high accuracy.Moreover,it is insensitive to mesh distortion.

Lamine Belounar - One of the best experts on this subject based on the ideXlab platform.

  • Strain based triangular finite element for Plate Bending analysis
    Mechanics of Advanced Materials and Structures, 2018
    Co-Authors: Abderahim Belounar, Sadok Benmebarek, Lamine Belounar
    Abstract:

    In this work, the formulation of a new triangular finite element is presented for static and free vibration of Plate Bending. The developed element which contains the three essential external degre...

  • A new strain based brick element for Plate Bending
    Alexandria Engineering Journal, 2014
    Co-Authors: Lamine Belounar, K. Guerraiche
    Abstract:

    Abstract This paper presents the development of a new three-dimensional brick finite element by the use of the strain based approach for the linear analysis of Plate Bending. The developed element has the three essential external degrees of freedom (U, V and W) at each of the eight corner nodes as well as at the centroidal node. The displacement field of the developed element is based on assumed functions for the various strains satisfying the compatibility equations and the static condensation technique is used for the internal node. The performance of this element is evaluated on several problems related to thick and thin Plate Bending in linear analysis. The obtained results show the good performances and accuracy of the present element.

Yijun Liu - One of the best experts on this subject based on the ideXlab platform.

  • A fast multipole boundary element method for solving the thin Plate Bending problem
    Engineering Analysis with Boundary Elements, 2013
    Co-Authors: S. Huang, Yijun Liu
    Abstract:

    A fast multipole boundary element method (BEM) for solving large-scale thin Plate Bending problems is presented in this paper. The method is based on the Kirchhoff thin Plate Bending theory and the biharmonic equation governing the deflection of the Plate. First, the direct boundary integral equations and the conventional BEM for thin Plate Bending problems are reviewed. Second, the complex notation of the kernel functions, expansions and translations in the fast multipole BEM are presented. Finally, a few numerical examples are presented to show the accuracy and efficiency of the fast multipole BEM in solving thin Plate Bending problems. The Bending rigidity of a perforated Plate is evaluated using the developed code. It is shown that the fast multipole BEM can be applied to solve Plate Bending problems with good accuracy. Possible improvements in the efficiency of the method are discussed.

Mohammad Rezaiee-pajand - One of the best experts on this subject based on the ideXlab platform.

  • A quadrilateral Plate Bending element based on deformation modes
    Applied Mathematical Modelling, 2017
    Co-Authors: Mohammad Karkon, Mohammad Rezaiee-pajand
    Abstract:

    Abstract In this paper, a quadrilateral element is proposed for the analysis of thin Plate Bending. This element is non-conforming and consists of four-nodes and twelve degrees of freedom. A third-order field for the element displacement is written in terms of the deformation modes. Moreover, the rotational fields are obtained by utilizing the first-order Jacobean matrix. All interpolation functions are explicitly found by the presented formulation. The stiffness matrix of the element is then computed by using these functions. Finally, the accuracy of the suggested element is evaluated by solving some thin Plate Bending structures. Numerical findings reveal the new quadrilateral element MKQ12 is robust and accurate for analysis of thin Plates.

Masami Hanai - One of the best experts on this subject based on the ideXlab platform.

  • Quadrilateral Mindlin Plate Bending Element Using Continuous Shear Constraint
    Computational Mechanics ’95, 1995
    Co-Authors: Kazuo Kondoh, Masami Hanai
    Abstract:

    Using the concept of continuous shear constraint, an improved assumed displacement finite element method for shear-deformable Plate Bending element, its basic adeas being given in the authors’ previous reports, is developed. A new series of quadrilateral Plate Bending elements is unified and systematically derived. It is shown that the Plate Bending elements of the present family have no spurious zero energy modes and are “locking-free” , with verification of the convergence criteria to be satisfied. Several numerical analyses show that the present elements have excellent accuracy and convergency for both thin and thick Plates.