Chapter 10 Design Optimization A Prototype Problem (I)
Chapter 10 Design Optimization A Prototype Problem (I)
Chapter 10 Design Optimization A Prototype Problem (I)
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The Cantilever Beam Example – Constrained <strong>Optimization</strong> (I)22min.f=Wπr2lE=207GPa、S=200MPa、D=1.0mm、L=<strong>10</strong>0mm、F=<strong>10</strong>kN4Fls.t. g 1= − S ≤ 0 π3r34Flg 2= − D ≤ 043πrg 3= l − L≥ 0Feasible DomainB Point A is the optimaldesign, where l=<strong>10</strong>0mm,r=18.5mm.A The optimal design occursat the boundary of thefeasible domain, and isdecided by the activeconstraints g 1and g 3.
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