椭球体易拉罐形状和尺寸的优化设计模型  

The Optimized Design Model of the Shape and Size of Ellipsoid Pop Cans

作　　者：王积建[1] 

机构地区：[1]浙江工贸职业技术学院,浙江温州325003

出　　处：《大学数学》2009年第3期133-139,共7页College Mathematics

摘　　要：从材料最省、外观最美、放置稳定的角度设计了"椭球体"易拉罐的形状,然后通过建立非线性规划模型Ⅰ,求出了"椭球体"易拉罐的中腰半径、底面半径和高度.然后从手感舒适的角度建立了优化模型Ⅱ,从而确定了两种型号的"椭球体"易拉罐的最优尺寸.In terms of economical materials, the most beautiful shape and putting itself steadily, the shape of ellipsoid pop cans is designed. The radius of middlewaist, the radius of undersurface and height of ellipsoid pop cans can be got by building nonlinear program model Ⅰ. Then in terms of comfortable feeling, the optimized model Ⅱ is built. Thus the best size of ellipsoid pop cans of both models is established.

关 键 词：数学建模 非线性规划 易拉罐 优化设计 椭球体 

分 类 号：O29[理学—应用数学]