易拉罐形状和尺寸的最优设计

　　摘要：为了最大限度地减少单罐质量、提高材料利用率、降低生产成本。本文根据易拉罐实际测量的数据，按照数学建模问题的要求，分别给出正圆柱体易拉罐的最优设计和上部为圆台下部为圆柱时易拉罐的最优设计；然后，给出关于易拉罐形状和尺寸的最优设计, 这个设计用料最省、外观精美和手握舒适。关键词：目标函数　条件极值　易拉罐厚度　单罐重量

　　Optimal Design for the Shape and Size of Can

　　Abstract: For the decreasing in the weight of a can and the increasing in the avail of material and the reducing in the cost of production, the optimal design for the shape and size of can is presented in this paper. Firstly, the optimum design for the cylindrical can is presented by according to its measuring data and the demands of mathematical modeling. Secondly, the optimum design for the can of circular truncated top and columnar bottom is also presented. Finally, the optimal design for the shape and size of can is proposed, and the superior design ensures the minimum use of materials, an aesthetically pleasing appearance, and comfortable handling.

　　引言

　　随着经济的快速发展和人们生活水平的不断提高，饮料市场日益繁荣，易拉罐作为饮料包装的主要形式之一，其设计的合理性直接影响到产品的竞争力。......

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