多箱箱型结构的解析分析

Analytic Solution of Multi-box Structure

从弹性薄板理论出发,将多箱箱型结构分为多块相互约束的边界弹性支承薄板。每一块板在板内承受任意局部荷载,在四边承受待定的分布弯矩。通过板与板的边界位移与转角协调分析,得到任意荷载作用下多箱箱型结构的解析解。算例表明本文方法精度好。由于解析方法未知量少,因此便于在工程计算中应用。

Based on the elastic thin plate theory, multi-box structure is divided into many mutual constraint thin plates with four sides elastic supported. Each plate is subjected to any local forces on the plate and the unknown bending moment on boundaries. According to compatible relationships of the displacement and rotation angles on boundaries of rectangle thin plates, the analytic solution of the multi-box structure under any local loads could be obtained. Numerical examples prove that this method has good preciseness, because the analytic method has less unknown number, so it can be convenient used in engineering calculation.