蜂窝夹层结构的最优参数选择
Selection of the Optimum Parameters for Sandwich Construction with Honeycomb Core
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摘要: 本文把夹层结构的最轻重量作为目标函数,在给定的强度和刚度的约束条件下,求出蜂窝夹层结构的四个最优参数(面板厚度tf,蜂窝芯子厚度hc,蜂壁厚度ts,蜂格边长c).在强度约束条件时,最后求解一个高次方程.在刚度约束条件时,用待定参数求极值的方法把约束极值问题化为无约束极值问题.文中对结果也进行了讨论.Abstract: The minimum weight of sandwich construction which is regarded as objective function has been discussed. Under given constraint condition of the strength or the stiffness, the four optimum parameters of sandwich construction with honeycomb core thickness of the face tf. thickness of the honeycomb core hc, thickness of the honeycomb wall ts, side length of the honeycomb cell c, are evaluated. By using constraint condition of the strength, a equation of high degree is finally solved. In the constraint condition of the stiffness, the constraint optimization problem is treated as inconstraint optimization problem with the method of obtaining extreme value solution by undetermined parameter multiplication. Also, the results are discussed.
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