Cans’ Optimization Design Model
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.
Yongping Zhang, Linhua Zhou and Elwin Mao
J. E. Ma and M. Y. Li, "Cans’ Optimization Design Model", Applied Mechanics and Materials, Vol. 109, pp. 368-371, 2012