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首页> 外文会议>ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference >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：基于绝对节点坐标配方，在梁元件中包含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：在该研究中，提出了一种用于解释绝对节点坐标制剂中横向剪切变形的程序。在绝对节点坐标配方中，通常通过采用元件横向方向上的斜率矢量来限定剪切变形。这导致了与高频率相关的实际问题的变形模式的描述。这些高频反过来使时间集成过程重移数值性能。在这项研究中，横向剪切变形的说明中基于绝对的二维光束元件被占，而无需使用横向斜率向量的节点坐标制剂。在引入的剪切可变形梁元件中，斜率矢量被描述梁横截面旋转的载体代替。该过程代表了一种简单的增强，其不会基于绝对节点坐标配方降低元素的准确性或数值性能。提出了数值结果，以证明静态和动态壳体中引入元件的准确性。使用引入元素获得的数值结果与使用先前提出的剪切可变形梁元件获得的结果一致。

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