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本文讨论了三种典型侧向荷载作用下等截面和变截面筒中筒结构的简化计算。用分段等厚的各向异性连续体弹性等效原结构的外框筒,用余能原理求外筒的柔度矩阵。由内外筒位移协调方程求得在楼层处内、外筒间的相互作用力,再分别对内、外筒进行静力计算。文中已导得内力和位移的计算公式。与实验值和空间分析分别作了比较,精度可供初步设计用。
This paper discusses the simplified calculation of the tube structure with equal section and variable section under the action of three typical lateral loads. The outer frame tube of the equivalent elastic structure of the anisotropic continuum with the same thickness is used to find the flexibility matrix of the outer tube using the principle of residual energy. The interaction forces between the inner and outer cylinders at the floor are obtained from the internal and external cylinder displacement coordination equations, and the internal and external cylinders are then subjected to static calculations. The equations for calculating internal forces and displacements have been derived in the text. Compared with experimental values and spatial analysis, accuracy can be used for preliminary design.