A modified beam stiffness matrix for interconnected shear walls

T. Harrison, J.M. Siddall, R.E. Yeadon
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引用次数: 6

Abstract

In the stiffness analysis of plane interconnected shear walls, it is convenient to specify the degrees of freedom at nodal positions defined by the intersection of the centroidal axis of each interconnecting beam and the centroidal axes of the shear walls. These intersection points are positioned a finite distance away from the ends of each interconnecting beam.

A modified stiffness matrix is presented for an interconnecting beam which includes a rigid arm at each end to allow for this finite distance, rotational springs to account for the localised deformations which take place in the zones where the beam adjoins the shear walls and transverse shear springs to allow for shear deformations in the beam. The matrix is presented in a form which permits existing computer programs to be modified with ease.

A stiffness program employing this matrix is used to analyse a series of plane interconnected shear walls, previously tested by MacLeod, in which the beam depth was varied from model to model. The model showing the greatest sensitivity to localised effects was reanalysed keeping the beam depth constant, but varying the number of storeys and in consequence the height of the structure.

The results are presented to show the importance of the rotational springs to the accuracy of the mathematical model and are compared with experimental evidence.

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一种改进的互联剪力墙梁刚度矩阵
在平面互联剪力墙的刚度分析中,方便地指定节点位置的自由度,该节点位置由每根互联梁的质心轴与剪力墙的质心轴的交点定义。这些交点位于距离每个互连梁的末端有限距离处。提出了一种改进的刚度矩阵,用于互连梁,其中包括两端的刚性臂,以允许这种有限距离,旋转弹簧,以考虑在梁与剪力墙相邻的区域发生的局部变形,以及横向剪切弹簧,以允许梁中的剪切变形。该矩阵以一种允许对现有计算机程序进行轻松修改的形式呈现。采用该矩阵的刚度程序用于分析一系列平面互联剪力墙,这些剪力墙先前由MacLeod进行了测试,其中梁的深度因模型而异。对局部效应最敏感的模型进行了重新分析,保持梁的深度不变,但改变了层数,从而改变了结构的高度。结果表明了旋转弹簧对数学模型精度的重要性,并与实验证据进行了比较。
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