struct - EE236A (Fall 2007-08) Lecture 5 Structural...

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EE236A (Fall 2007-08) Lecture 5 Structural optimization minimum weight truss design truss topology design limit analysis design with minimum number of bars 5–1 Truss m bars with lengths l i and cross-sectional areas x i N nodes; nodes 1 , . . . , n are free, nodes n + 1 , . . . , N are anchored external load: forces f i R 2 at nodes i = 1 , . . . , n design problems: given the topology ( i.e. , location of bars and nodes), ±nd the lightest truss that can carry a given load (vars: bar sizes x k , cost: total weight) same problem, where cost #bars used ±nd best topology ±nd lightest truss that can carry several given loads analysis problem: for a given truss, what is the largest load it can carry? Structural optimization 5–2
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Material characteristics u i R is force in bar i ( u i > 0 : tension, u i < 0 : compression) s i R is deformation of bar i ( s i > 0 : lengthening, s i < 0 : shortening) we assume the material is rigid/perfectly plastic
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This note was uploaded on 09/26/2009 for the course CAAM 236 taught by Professor Dr.vandenber during the Spring '07 term at Monmouth IL.

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struct - EE236A (Fall 2007-08) Lecture 5 Structural...

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