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首页> 外文会议>ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2007 >A PROCEDURE FOR THE INCLUSION OF TRANSVERSE SHEAR DEFORMATION IN A BEAM ELEMENT BASED ON THE ABSOLUTE NODAL COORDINATE FORMULATION
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A PROCEDURE FOR THE INCLUSION OF TRANSVERSE SHEAR DEFORMATION IN A BEAM ELEMENT BASED ON THE ABSOLUTE NODAL COORDINATE FORMULATION

机译：基于绝对节点坐标公式的梁单元中横向剪切变形的过程

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摘要

In this study, a procedure to account for transverse shear deformation in the absolute nodal coordinate formulation is presented. In the absolute nodal coordinate formulation, shear deformation is usually defined by employing the slope vectors in the element transverse direction. This leads to the description of deformation modes that are, in practical problems, associated with high frequencies. These high frequencies, in turn, complicate the time integration procedure burdening numerical performance. In this study, the description of transverse shear deformation is accounted for in a two-dimensional beam element based on the absolute nodal coordinate formulation without the use of transverse slope vectors. In the introduced shear deformable beam element, slope vectors are replaced by vectors that describe the rotation of the beam cross-section. This procedure represents a simple enhancement that does not decrease the accuracy or numerical performance of elements based on the absolute nodal coordinate formulation. Numerical results are presented in order to demonstrate the accuracy of the introduced element in static and dynamic cases. The numerical results obtained using the introduced element agree with the results obtained using previously proposed shear deformable beam elements.
机译：在这项研究中，提出了解决绝对节点坐标公式中横向剪切变形的程序。在绝对节点坐标公式中，通常通过在单元横向上采用斜率矢量来定义剪切变形。这导致了在实际问题中与高频相关的变形模式的描述。这些高频率反过来使时间积分过程变得复杂，使数值性能难以承受。在这项研究中，在不使用横向斜率矢量的情况下，基于绝对节点坐标公式，在二维梁单元中考虑了横向剪切变形的描述。在引入的剪切可变形梁单元中，坡度矢量被描述梁横截面旋转的矢量所代替。此过程表示简单的增强，不会基于绝对节点坐标公式而降低元素的精度或数值性能。给出了数值结果，以证明引入的元素在静态和动态情况下的准确性。使用引入的单元获得的数值结果与使用先前提出的剪切可变形梁单元获得的结果一致。

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