Cans’ Optimization Design Model

Abstract:

We gradually improve the shape of cans by using geometry, derivative and programming knowledge. Firstly suppose the shape of cans is a circular cylinder and both of the thickness of the side and under bottom of it are b, the thickness of the upper bottom is . Then establish a Binary function’s extreme problem with a condition, through the programming we finally get the optimal design for which the ratio of Radius r and Height h is 1:(1+ ).Secondly, design the cans is a connection of circular cylinder and frustum of a cone, the thickness of the surface is like the same assumptions as before, establish a multi-function’s extreme problem with a condition, through the programming we can get the optimum design size.

• Periodical: Applied Mechanics and Materials (Volume 109)
• Pages: 368-371
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.109.368
• Online since: October 2011
• Authors: Jun Er Ma, Meng Yuan Li
• Keywords: CAN, Material, Optimal Solution, Shape, Volume

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