3-D beam element of composite cross section including warping and shear deformation effects
3-D beam element of composite cross section including warping and shear deformation effects
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DOI：
10.1016/j.compstruc.2006.09.003
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发表时间：
2007
影响因子：
4.7
通讯作者：
E. Sapountzakis;V. G. Mokos
中科院分区：
文献类型：
--
作者：
E. Sapountzakis;V. G. Mokos
本文发展了一种边界元法，用于构造任意均质或复合截面构件的14×14刚度矩阵和节点荷载矢量，同时考虑翘曲和剪切变形的影响。复合构件由接触的材料组成，每个材料可以包围有限数量的夹杂物。为了考虑剪切变形，使用剪切变形系数的概念。在本研究中，使用应变能方法完成了这些因素的定义。七边值问题制定和解决采用纯边界元法，即只使用边界离散。剪切变形系数的计算是由应力函数通过边界积分完成的。数值结果表明了该方法的有效性和准确性。通过实例分析了翘曲效应的影响，特别是在开口截面的组合构件中，说明了在空间框架分析中包含翘曲自由度的重要性。此外，由于忽略了剪切变形的影响，空间结构中构件的挠度和内力都不一致，因此必须考虑剪切变形的影响，特别是在厚壁截面构件中。
In this paper a boundary element method is developed for the construction of the 14×14 stiffness matrix and the nodal load vector of a member of arbitrary homogeneous or composite cross section taking into account both warping and shear deformation effects. The composite member consists of materials in contact each of which can surround a finite number of inclusions. To account for shear deformations, the concept of shear deformation coefficients is used. In this investigation the definition of these factors is accomplished using a strain energy approach. Seven boundary value problems are formulated and solved employing a pure BEM approach, that is only boundary discretization is used. The evaluation of the shear deformation coefficients is accomplished from stress functions using only boundary integration. Numerical results are presented to illustrate the method and demonstrate its efficiency and accuracy. The influence of the warping effect especially in composite members of open form cross section is analyzed through examples demonstrating the importance of the inclusion of the warping degrees of freedom in the analysis of a space frame. Moreover, the discrepancy of both the deflections and the internal forces of a member of a spatial structure arising from the ignorance of the shear deformation effect necessitates the inclusion of this additional effect, especially in thick walled cross section members.