Transcription of Optimization Methods
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Optimization Methods
1 Optimization Introduction:Inoptimizationofa design, satisfactorysolutionis ,optimizationhasbecomea partofcomputer-aideddesignactivities. Therearetwodistincttypesofoptimizational gorithmswidelyusedtoday.(a) (b) :Anaiveoptimaldesignisachievedbycomparin gafew(limiteduptotenorso) (cost,profit,etc., ) ofeachsolutionis comparedandbestsolutionis isimpossibletoapplysingleformulationproc edureforallengineeringdesignproblems,sin cetheobjectiveinadesignproblemandassocia tedtherefore,designparametersvaryproduct to ,whichthencanbesolvedusinganoptimization algorithm.
The next task is to set lower and upper bounds for the four cross sectional areas. We may choose to make all four areas lie between 10 and 500 mm. 2. Thus the variable bounds are as. In the following, we present the above truss structure problem in NLP format. Minimize Al A l A l A l. 1.132 2 1.789 1.2. 12 3 4 ++ +
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