易拉罐形状和尺寸的最优设计  

Optimal Design for Shape and Size of Can

作　　者：王博[1] 李若超[1] 樊爱军[2] 

机构地区：[1]第三军医大学学员旅七队,重庆400038 [2]第三军医大学生物工程与医学影像学院数学教研室,重庆400038

出　　处：《大学数学》2009年第6期138-142,共5页College Mathematics

摘　　要：研究易拉罐形状及尺寸的最优设计分析问题.首先,根据实际测量的数据,利用拉格朗日乘子法,验证了市售易拉罐设计尺寸的合理性与实用性.其次,给出了个性化的创新型美观设计方案,力求以节约材料和使用方面的优势征服厂家和消费者.最后,利用辛普生公式近似算法,得到了新造型设计的具体尺寸.The paper focuses on the optimal design for the shape and size of can. First, based on the real data for the can in market, using the method of Lagrange multiplicator, we verified its shape and size is reasonable. Secondly, in order to save more material than the normal can and easy to use, an innovative special design is provided. Thirdly, based on the Simpson＇s formula, the size of the new project is obtained.

关 键 词：优化模型 拉格朗日乘子法 辛普生公式 

分 类 号：O172.1[理学—数学]