New PDF release: Analysis and Design of Structural Sandwich Panels

By Howard G. Allen

ISBN-10: 008012870X

ISBN-13: 9780080128702

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Additional info for Analysis and Design of Structural Sandwich Panels

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4c. A t the critical value o f the axial thrust Ρ there occur two superimposed displacements, wi(the ordinary bending displacement) and H>2 (an additional displacement associated with the shear defor48 BUCKLING OF SANDWICH STRUTS 49 mation o f the core). The buckled strut is shown in Fig. 1. A t a typical section χ the bending moment is : M = P(wx + w 2 ) = - D ^ ' . 3a) FIG. 1. Deflection of an axially-loaded pin-ended sandwich strut. The horizontal thrust Ρ at the section χ P(w[+ has a component w2) acting perpendicular to the axis of the strut.

Another is C i = 0, C 3 ^ 0, α 2 £ = ηπ, where η is an integer. This last condition gives o|L2 = nW = ^ [ - ^ ± ^ + 4 ^ ] . 11) for the critical load o f a pin-ended strut, when η = 1. 16) define the displacements o f the buckled strut as follows: wi = C 3 sin

1. A t a typical section χ the bending moment is : M = P(wx + w 2 ) = - D ^ ' . 3a) FIG. 1. Deflection of an axially-loaded pin-ended sandwich strut. The horizontal thrust Ρ at the section χ P(w[+ has a component w2) acting perpendicular to the axis of the strut. 4b) Wi = C i sin a x + C 2 cos a x + C 3 . 5a) twice and inserting the result in 50 ANALYSIS OF STRUCTURAL SANDWICH PANELS the right-hand side. Thus: 1 2 2 Wi + u>2 = — — { — C i a sin ax — C 2 a cos a x } C i sin a x + C 2 cos ax = The + XHPIAG) ) · boundary condition w i - f w 2 = 0 at χ = 0 requires C 2 to vanish; the condition H > I + H > 2 = 0 at χ = L requires that either C i vanishes (in which case the strut remains straight) or, if C i is non-zero and the strut buckles, then sin

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Analysis and Design of Structural Sandwich Panels by Howard G. Allen


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