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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 C0 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.

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