一种新型剪力墙多垂直杆单元模型:原理和应用

A NEW TYPE OF MULTI-VERTICAL-LINE-ELEMENT MODEL OF SHEAR WALLS: PRINCIPLE AND APPLICATION

  • 摘要: 在经典梁理论的基础上提出了一种新的多垂直杆单元模型。新模型的横向位移函数为沿纵向三次式,单元刚度矩阵中考虑了轴向拉压变形与剪切变形的相互作用以及弯曲变形与剪切变形的相互作用。每个单元在纵向采用了四根竖向弹簧,用四段常数应变来拟合线性变化的纵向正应变,一定程度上反映了纵向正应变沿纵向坐标的变化。计算精度随单元高宽比的增加下降极少,减少了单元的划分数量,加快计算速度,并且对于各种荷载组合,均有着较高的计算精度,适应面较广。最后通过算例,并与试验结果比较,表明该模型具有较好的计算精度,可适用于高层建筑结构的弹塑性静力和动力分析。

     

    Abstract: Based on the classical beam theory, a new type of multi-vertical-line-element model of shear walls is proposed. The transverse displacement function of the new model is cubic along longitudinal direction. In stiffness matrix, the interaction of axial deformation, bending deformation and shear deformation is considered. Four vertical springs are used in longitudinal direction of the element, so the longitudinal normal strain is fitted by four constant normal strains. The calculation accuracy is not affected by the increase of aspect ratio nearly, thus the calculation speed is imporved due to the small number of elements. Good accuracy is achieved under various load combinations. Finally, an example shows that the model can yield good accuracy and can be used in the elastic-plastic static analysis and dynamic analysis of high rise building structures.

     

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