Purpose – To investigate the large amplitude free flexural vibration of doubly curved shallow shells in the presence of cutouts. Design/methodology/approach – Finite element model using an eight‐noded C 0 continuity, isoparametric quadrilateral element is employed. Nonlinear strains of von Karman type are incorporated into the first‐order shear deformation theory. Findings – Cylindrical shell shows mostly hard spring behavior whereas spherical shell shows both hard spring and soft spring behavior with the increase of amplitude ratios for different cutout sizes, radii of curvature and thickness parameters. At a particular value of the amplitude ratio, the frequency ratio of shells is governed by the interactive effects of stiffness and mass. Practical implications – Aircraft, spacecraft and many other structures where shell panels are used, undergo large amplitude nonlinear vibrations. Originality/value – The paper will assist researchers of vibration behavior of elastic systems.
Aircraft Engineering and Aerospace Technology – Emerald Publishing
Published: Mar 21, 2008
Keywords: Finite element analysis; Vibration; Shell structures
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