A Triangular Plate Bending Element Based on Discrete Kirchhoff Theory with Simple Explicit Expression
نویسندگان
چکیده
A Simple three-node Discrete Kirchhoff Triangular (SDKT) plate bending element is proposed in this study to overcome some inherent difficulties and provide efficient dependable solutions engineering practice for thin structure analyses. Different from the popular DKT (Discrete Theory) triangular element, using compatible trial function transverse displacement along sides, construction of present SDKT based on a specially designed over which satisfies interpolation conditions displacements rotations at three corner nodes. Numerical investigations structures were conducted, element. The results compared with those by other prevalent elements, including analytical solutions. It was shown that has simplest explicit expression nine-DOF (Degree Freedom) elements currently available can pass patch test. numerical examples indicate good convergence rate possesses high precision.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9111181