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 is never zero F k k/PL >1 k/PL <1 AAE 352 3 Solve for the deflection P P L F F AAE 352 4 Solve for the deflection Flexibility depends on the axial force P P F ( 29 PL k FL PL k FL k PL FL M k L P FL M pin pin- =- = =- + 2245- + = = sin PL k 1 ) FL (- = AAE 352 5 Flexibility & stiffness definitions The inverse of flexibility is stiffness = flexibility PL k 1 ) FL (- = PL k ) FL ( / 1- = = 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 (- = PL k ) FL ( / 1- = AAE 352...
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33Stability_2 - AAE 352 1 AAE352 Lecture 29 Structural...

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