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针对薄壁圆柱壳结构在轴压作用下容易发生屈曲失稳的问题,采用有限元分析软件ANSYS提供的APDL进行二次开发,建立加筋圆柱壳结构的优化模型,采用序列线性规划法对蒙皮厚度和加筋尺寸进行优化。将优化后的力学性能与等体积无加筋圆柱壳承载力的数值解及解析解进行比较,得到加筋圆柱壳的合理布筋,以及7种纵向和环向加筋数量算例的优化结果。结果表明:在加筋比较稀疏或比较密集的情况下,优化后圆柱壳的承载力相对于等体积无加筋圆柱壳基本没有提高;而加筋数量比较适当时,优化后圆柱壳的屈曲承载力比等体积无加筋圆柱壳的屈曲承载力最大提高了约50%。加筋布置方案及优化的尺寸结论对加筋柱壳设计具有参考价值。
Aiming at the problem of buckling instability of thin-walled cylindrical shell under the axial compression, the secondary development of the APDL provided by the finite element analysis software ANSYS was carried out to establish the optimized model of the reinforced cylindrical shell structure. Skin thickness and reinforcement dimensions are optimized. The optimized mechanical properties are compared with the numerical solutions and analytical solutions of the uniaxial cylindrical shell with an equal volume. The reasonable reinforcement of the stiffened cylindrical shell is obtained, and the optimization results of seven longitudinal and circumferential reinforcement numbers are obtained . The results show that in the case of sparse or dense reinforcement, the bearing capacity of the optimized cylindrical shell is basically not increased with respect to the equivalent volume of the un-stiffened cylindrical shell. When the reinforcement quantity is appropriate, the buckling load of the optimized cylindrical shell Compared with the same volume of non-stiffened cylindrical shell, the buckling capacity can be increased by about 50%. Reinforcing arrangement scheme and optimized size conclusion have reference value to reinforced column shell design.