280 - L1 - intro, nonlinear bars_2010_markup

280 - L1 - intro, nonlinear bars_2010_markup - CEE 280 Sept...

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CEE 280 Sept. 20, 2010 L1 - Introduction & Strut Examples 6 Bar-Spring Examples To illustrate: • some basics some basics – equilibrium & compatibility – static determinacy/indeterminacy – meaning of “linear elastic” geometrically linear or nonlinear – 1 st -order versus “2 nd -order” elastic versus inelastic
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CEE 280 Sept. 20, 2010 L1 - Introduction & Strut Examples 7
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CEE 280 Sept. 20, 2010 L1 - Introduction & Strut Examples 8 Geometric Nonlinear: Equilibrium equations and resulting internal forces and reactions are nonlinearly related to the displacements. A “1 st -order” analysis refers to methods where equilibrium is satisfied on the undeformed geometry; in “2 nd -order” (or geometric NL) analysis, equilibirum is satisfied on deformed geometry. •Force distribution? •Static indeterminacy? •Kinematic Indeterminacy? •Force (flexibility) method? •Direct stiffness method? Direct stiffness method?
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