Feasibility Study of Shell Buckling Analysis Using the Modified Structure MethodThe modified structure method, which is based on Koiter's theory of imperfections, was used to calculate approximate buckling loads of several shells of revolution. The method does not appear to be practical for shells because, in many cases, the prebuckling nonlinearity may be too large to be treated accurately as a small imperfection. |
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additional loads Appendix approximate axisymmetric loading buckling is usually calculated Clamped cylinder CLAMPED SHALLOW SPHERICAL components CRITICAL PRESSURE dead loading displacement displacement vector effective applied loads effective applied pressure equation 16 equations A-4 evaluated FICTITIOUS LOADS REMOVED field equations first-order load imperfection first-order theory FRACTION OF FICTITIOUS free thermal strain given by equation imperfection given Koiter's method L₁ L₂(u limit load buckling linear buckling loads linear operator load factor load imperfection analysis load imperfection proportional load imperfection theory mechanical load imperfection meridional and circumferential method to shell modified structure method nonlinear buckling loads nonlinear prebuckling obtained PERCENT ERROR perfect structure bifurcates prebuckling behavior prebuckling path PRESSURE OF CLAMPED Prolate spheroid real loads revolution under axisymmetric set of loads shallow spherical cap SHALLOW SPHERICAL SHELLS shear stress shell structures shells of revolution solution stress resultant Substitution of equation Taylor series u₁ u₁,u₁ ŵ² zero λθο σο