双肢墙连续化位移法分析水平荷载作用

本文将连梁简化为连续肢片,并考虑变形由剪切效应和弯曲效应两部分组成。其中,弯曲效应又分为服从平截面假设的纯弯曲和由连梁剪切弯曲而引起的翘曲;而剪切效应仅考虑墙肢各层段的局部剪切弯曲,不包含连梁的剪切弯曲。同时,考虑连梁的反弯点出现在中点。按此,用最小势能原理导出了受侧向水平荷载作用下双肢墙的连续化位移法控制微分方程。本文假设翘曲位移函数按各墙肢的形心坐标在各自墙肢截面上均布,而保持墙肢轴力与其静面矩成比例的关系。该控制微分方程求解简便。算出过孔口中心横截面上的正应力后,就可按平衡关系算出各杆的剪力。本法对双肢墙有很好的精度。

CONTINUUM DISPLACEMENT METHOD FOR LATERAL LOAD ANALYSIS OF COUPLED SHEAR WALLS

The connecting beams is simplified to a piece of continuum beam, the deformation caused by the shear effect and the flexture effect, in which the flexture effect consists of the pure bending yielded to the plane assumption and the warping due to the shear-bending of the connecting beams, and the shear effect is merely the local shear bending of each story of walls without that of the connecting beams. There is a point of contra-flexture at the midpoint of connecting beam, the governing differential equations of continnum displacement method for lateral load analysis of coupled shear walls are derived by the principle of minimum potential energy. The paper assumes that the warping displacement function at each walls is constantly equal to its own coordinate value of centre of figure, the remained axial force of walls is proportional to its moment of area. The solution of the governing differential equations is very easy. Calculated the normal stresses at the cross section through the centre of openings, the shear force of members can be calculated by the balance relations. The method turn out very accurate results for the coupled shear walls.