Nonlinear Dynamics of Hemispherical Shells.
POLYTECHNIC INST OF BROOKLYN N Y DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS
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The nonlinear dynamic response of a thin, clamped hemispherical shell subjected to a suddenly applied pressure is obtained. The governing fourth order, coupled, nonlinear equations are rewritten in finite difference form and the resulting matrix equation is partitioned into a form to which Lu factorization can be readily applied. A dynamic buckling criterion is used, and both the axisymmetric and asymmetric responses are investigated. Author