Problem :
A storage tank comprising an open circular cylinder (radius R, height H) seated on ' a' conical hopper (with slope 3 parts vertical to 4 parts horizontal). The design optimisation problem requires a tank whose surface area (sides plus bottom) is minimised subject to the volume being no less than 4000 m^3.

Question:

(1) Mathematically formulate the constrained design optimisation problem. [ the volume of a cone is pi*D*R^2/3 and its area Is pi*R*L]

(2) Set up a penalty function formulation and use an analytical approach to locate the constrained minimum.

Question

Problem :
A storage tank comprising an open circular cylinder (radius R, height H) seated on ' a' conical hopper (with slope 3 parts vertical to 4 parts horizontal). The design optimisation problem requires a tank whose surface area (sides plus bottom) is minimised subject to the volume being no less than 4000 m^3.


Question:


(1)	Mathematically formulate the constrained design optimisation problem. [ the volume of a cone is pi*D*R^2/3 and its area Is pi*R*L]


(2)	Set up a penalty function formulation and use an analytical approach to locate the constrained minimum.

anonymous · Answer

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