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本文讨论在纯扭转荷载作用下,等截面和变截面筒中筒结构的计算。外框筒用分段等厚的各向异性连续体来等效,用余能原理求其柔度矩阵。内筒按带连梁的薄壁杆求其柔度矩阵。根据内外筒在楼层处扭转角协调的条件,求得在楼层处内、外筒间的相互作用扭矩,再分别对内、外筒进行静力计算。得出在三种典型扭转荷载作用下,筒中筒结构内力和位移的计算公式,可供初步设计用。
This paper discusses the calculation of the tube structure of a tube with constant section and variable section under pure torsional loading. The outer frame tube is equivalent to an isotropic continuum of uniform thickness, and its flexibility matrix is determined by the principle of residual energy. The inner tube presses the thin rods with coupling beams to find its flexibility matrix. According to the coordination conditions of the torsional angles of the inner and outer cylinders at the floor, the interaction torque between the inner and outer cylinders at the floor is obtained, and the inner and outer cylinders are subjected to static calculations. The calculation formulas for the internal forces and displacements of the tube-in-tube structure under the action of three typical torsional loads are obtained and can be used for preliminary design.