Optimum Design
159
(c) Functional constraint
PR
a = -- < 15,000 psi
(3.38)
t
(d) Regional constraint
all variables > 0
This has been solved in Example 3.12 by geometric programming
cost =$1807.12 R=23.978" t=0.25011" P= 312.9 psig
EXAMPLE 3.8 [3.1]. A spring optimization derivation [3.1] is
summarized as the author developed it and then one of the functional constraints is modified to make the derivation for a fatigue type loading. Figure
3.3 and notation is that of the author. The equations are
The spring weight which is the criterion function is
7z2~b~G (
d6 )
W-32Pma~ ~-~ +
The yielding constraint is
16Pmax D0"75
<1
~.cyd2.75 -7r2 ~)Q .Dd2.
~---t
)
(3.39)
(3.40)
zd
Figure 3.3 Spring cross section.
159
(c) Functional constraint
PR
a = -- < 15,000 psi
(3.38)
t
(d) Regional constraint
all variables > 0
This has been solved in Example 3.12 by geometric programming
cost =$1807.12 R=23.978" t=0.25011" P= 312.9 psig
EXAMPLE 3.8 [3.1]. A spring optimization derivation [3.1] is
summarized as the author developed it and then one of the functional constraints is modified to make the derivation for a fatigue type loading. Figure
3.3 and notation is that of the author. The equations are
The spring weight which is the criterion function is
7z2~b~G (
d6 )
W-32Pma~ ~-~ +
The yielding constraint is
16Pmax D0"75
<1
~.cyd2.75 -7r2 ~)Q .Dd2.
~---t
)
(3.39)
(3.40)
zd
Figure 3.3 Spring cross section.