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刚度非均匀分布的多层厂房地震反应分析,在以往的平扭耦联振动力学模型中均采取刚性楼盖假定。本文提出考虑楼盖双向水平变形的差异平移—扭转耦联振动力学模型,建立空间结构在地面运动纵、横向平动及旋转三个分量作用下的运动方程及其数学解。 为将现行抗震设计规范推广应用于结构的三维分析,本文还按照反应谱理论,给出厂房地震荷载以及考虑楼盖空间作用时构件地震内力的计算公式。 计算结果表明,对不同刚度的楼盖,考虑其水平变形时,中间框架的地震内力约为刚性楼盖假定计算结果的120～190％。
The seismic response analysis of multi-storey factory buildings with non-uniform stiffness distribution adopts the rigid floor assumption in the previous torsion-coupled vibration mechanics model. In this paper, the differential translation-torsion coupled mechanical model considering the two-way horizontal deformation of the floor is proposed to establish the motion equation and its mathematical solution of the spatial structure under the vertical and horizontal translational and rotational components of the ground motion. In order to apply the current seismic design code to the three-dimensional analysis of the structure, this paper also gives the calculation formula of the seismic force of the building and the internal force of the component earthquake when considering the space effect of the floor according to the response spectrum theory. The calculation results show that when considering the horizontal deformation of floors with different stiffness, the seismic internal force of the middle frame is about 120 to 190% of the calculation result of the rigid floor.