Simple Optimization

Simple Optimization
Box Design	PRISM v1.1.9
by: C.N. Tainer	May 06, 2018

This example is taken from the ParaSol program's Example #3

The purpose of this example is to maximize the volume of an open topped box starting with a rectangle of cardboard measuring (10 x 20).

There is a constraint on the optimization, however, that the final resulting open topped box cannto exceed an L/W of 2.4.

The image below shows the basic cardboard shape, after the (h x h) squares have been removed from all four corners of the original rectangle.

Box Dimensions

PRIOR TO OPTIMIZATION
PRISM System: Box Design mass = 1.320 lbm type = misc ====================================== name value minimum maximum hbox 1 0.2 3.8 Height of Box (in) Figure of Merit = 144 = Box Volume, cuin (Volume) ====================================== ======================================

PRIOR TO OPTIMIZATION

PRISM System: Box Design
                mass =        1.320 lbm
                type = misc
======================================
      name         value        minimum   maximum
      hbox            1          0.2          3.8 Height of Box  (in)
 Figure of Merit = 144 = Box Volume, cuin (Volume)
======================================
======================================

AFTER OPTIMIZATION
PRISM System: Box Design mass = 1.320 lbm type = misc ====================================== name value minimum maximum hbox 1.4285 0.2 3.8 Height of Box (in) Figure of Merit = 174.923 = Box Volume, cuin (Volume) ====================================== ======================================

AFTER OPTIMIZATION

PRISM System: Box Design
                mass =        1.320 lbm
                type = misc
======================================
      name         value        minimum   maximum
      hbox       1.4285          0.2          3.8 Height of Box  (in)
 Figure of Merit = 174.923 = Box Volume, cuin (Volume)
======================================
======================================

System Sensitivity

Design Variables (nominal values)
Name	Value	Units	Description
hbox	1.4285	in	Height of Box (in)
Lmatl	20	in	Length of Material (in)
Wmatl	10	in	Width of Material (in)

Result Variables
Name	Value	Units	Description	Constrain	Limit
boxMass	191.838	lbm	Box Mass (lbm)		---
LoverW	2.39997		Box L/W Ratio		<2.4
Volume	174.923	cuin	Box Volume (cuin)		---

Design Variables (nominal values)
Name	Value	Units	Description
Lmatl	20	in	Length of Material (in)
Wmatl	10	in	Width of Material (in)

Design Variable Summary

Design Variables (nominal values)
Name	Value	Units	Description
hbox	1.4285	in	Height of Box (in)
Lmatl	20	in	Length of Material (in)
Wmatl	10	in	Width of Material (in)

Result Variables
Name	Value	Units	Description	Constrain	Limit
boxMass	191.838	lbm	Box Mass (lbm)		---
LoverW	2.39997		Box L/W Ratio		<2.4
Volume	174.923	cuin	Box Volume (cuin)		---

Simple Equation Mass: Simple Mass
mass = 1.320 lbm type = inert
mass = simple eqn
Calc Wt from Eqn : 1.2*1.1

(PRISM) PaRametrIc System Model
PRISM v1.1.9
contact: C. Taylor, cet@appliedpython.com