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A New Stiffness Matrix for a 2D-Beam Element with a Transverse Opening

机译:具有横向开口的2D梁单元的新刚度矩阵

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Transverse opening in a beam has a reducing effect of the beam stiffness which will cause a significant increase in beam deflection in the region on the opening. In this paper, a new stiffness matrix for a beam element with transverse opening including the effect of shear deformation has been derived. The strain energy principle is used in the derivation process of the stiffness matrix and the fixed-end force vector for the case of a concentrated or a uniformly distributed load is also derived. The accuracy of the obtained results based on the derived stiffness matrix is examined through comparison with that of the finite element method using Abaqus package and a previous study which show a good agreement with high accuracy.
机译:光束中的横向开口会降低光束刚度,这会导致开口区域中光束偏转的明显增加。在本文中,得出了具有横向开口的梁单元的新刚度矩阵,其中包括剪切变形的影响。在刚度矩阵的推导过程中使用了应变能原理,并且针对集中或均匀分布的载荷,还推导出了固定端力矢量。通过与使用Abaqus软件包的有限元方法和先前的研究进行比较,检验了基于导出的刚度矩阵获得的结果的准确性,这些研究显示了很高的准确性。

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