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

By Howard G. Allen

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Dr. Ilse Modelmog ist Hochschullehrerin für Soziologie an der Universität Oldenburg.

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Conditions at a "pinned" end, showing three hinges. Six boundary conditions are needed for the determination o f the constants C\— C%. For example, in a pin-ended strut in which the ends o f the faces are also free to rotate independently ( F i g . 3), (i) χ = 0, Wi = 0; (iv) χ = L, w'x' = 0; (ii) χ = 0, w[' = 0; (iii) χ = L, wL = 0, ( ν ) χ = 0, (vi) w>2 = 0; Λ: = 0, w'2 = 0. BUCKLING OF SANDWICH 55 STRUTS O f the resulting equations, (ii) and ( v ) indicate that Ce is zero. Comparison o f (ii) and ( v i ) leads to the conclusion that C2 and C4 are zero, as a consequence o f which (i) gives a zero value for C5.

Conditions at a "pinned" end, showing three hinges. Six boundary conditions are needed for the determination o f the constants C\— C%. For example, in a pin-ended strut in which the ends o f the faces are also free to rotate independently ( F i g . 3), (i) χ = 0, Wi = 0; (iv) χ = L, w'x' = 0; (ii) χ = 0, w[' = 0; (iii) χ = L, wL = 0, ( ν ) χ = 0, (vi) w>2 = 0; Λ: = 0, w'2 = 0. BUCKLING OF SANDWICH 55 STRUTS O f the resulting equations, (ii) and ( v ) indicate that Ce is zero. Comparison o f (ii) and ( v i ) leads to the conclusion that C2 and C4 are zero, as a consequence o f which (i) gives a zero value for C5.

BB' * - Μ % Λ + ! 10). _Q lEftd Ecc*\ τ + 6 0) ( ^ - - θ [ ~ 2 ~ ~Ϊ~)· · Suppose now that the real core is replaced by a true antiplane core with a shear modulus G', different from G9 but that the correct value o f D is retained. The foregoing analysis may be repeated except that G is replaced by G' and 2sc vanishes. ') is exactly equivalent to the real core (G) as far as the analyses o f Chapter 2 are concerned. For these analyses deal only with the core-edge displacements ΑΑ', ΒΒ' and do not depend on the shape o f the 2 45 SANDWICH BEAMS distorted section A'CB'.

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