33Stability_2

33Stability_2 - AAE 352 1 AAE352 Lecture 29 Structural...

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Unformatted text preview: AAE 352 1 AAE352 Lecture 29 Structural stability – Part 2 Stability of mechanisms and wings The ability of a flexible system to maintain a definite equilibrium form (or state) under a given loading condition AAE 352 2 Column buckling analysis with a side force and a compressive force is different because θ is never zero F k k/PL >1 k/PL <1 θ AAE 352 3 Solve for the deflection θ P P θ L F F AAE 352 4 Solve for the deflection θ Flexibility depends on the axial force P P θ F ( 29 PL k FL PL k FL k PL FL M k L P FL M pin pin- =- = =- + 2245- • + = = ∑ ∑ θ θ θ θ θ θ sin PL k 1 ) FL (- = ∂ ∂ θ AAE 352 5 Flexibility & stiffness definitions The inverse of flexibility is stiffness = flexibility PL k 1 ) FL (- = ∂ ∂ θ PL k ) FL ( / 1- = ∂ ∂ θ = stiffness AAE 352 6 Flexibility and stiffness • A rigid structure has zero flexibility – it will not deform • A rigid structure has infinite stiffness • Zero stiffness means that the structure will not resist an increased external load • Infinite flexibility means that a structure cannot resist an increased load PL k 1 ) FL (- = ∂ ∂ θ PL k ) FL ( / 1- = ∂ ∂ θ AAE 352...
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This note was uploaded on 01/18/2012 for the course AAE 352 taught by Professor Chen during the Fall '08 term at Purdue.

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33Stability_2 - AAE 352 1 AAE352 Lecture 29 Structural...

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