易拉罐形状和尺寸的最优设计

摘要

This paper discusses the optimal design for the shape and size of a beverage can. First, the authors of the paper measure the parameter of size of a common beverage can, set a static optimization model, and respec⁃tively figure out the best design of the beverage can when it is shaped to be the cylinder or the combination of frustum-of-a-cone and cylinder. Lastly, the authors take account of the factors such as outline, touch, artistic and so on, set a nonlinear programming model, and use the programs MATLAB to get the best design of a new can.%　　探讨了易拉罐形状和尺寸的最优设计问题。首先测量了常见易拉罐的尺寸，然后建立静态优化模型，分别求解出了将易拉罐形状简化为圆柱形和圆柱、圆台结合形的最优设计。最后，在综合考虑外形、手感、美观等因素的基础上，建立了非线性规划模型，并借助MATLAB编程得出新型易拉罐的最优设计。