Abstract
Using the nonlinear elastic stability theory and its applications to shells, we have investigated the post-buckling behaviour and imperfection sensitivity of spherical shells with amplitude modulation. For this purpose, we assume that the buckling modes have the form of legendre polynomials with an exponential function as a modulating factor. Since the expressions of the second and the third variation of the energy functional of the spherical shell in the fundamental state are too complicated to obtain a closed form, we use a numerical analysis technique with high precision. The amplitudes of the post-buckling modes and the critical loading factors of the spherical shell with various imperfection modes are presented.
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