Vibration of perforated doubly-curved shallow shells with rounded corners

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Original languageEnglish
Pages (from-to)1519-1536
Journal / PublicationInternational Journal of Solids and Structures
Issue number11
Publication statusPublished - Jun 1994
Externally publishedYes


This study examines the natural frequency and vibratory characteristics of doubly-curved shallow shells having an outer super-elliptical periphery and an inner super-elliptical cutout. A superelliptical boundary in this context is defined as (2x/a)2n + (2y/b)2n = 1, where n = 1, 2, 3, ..., ∞. This class of shells with rounded outer and inner corners has a great advantage over shells with a rectangular planform as stress concentration at the corners is greatly diffused. As a result, the high stress durability of such shells has a great potential for use in practical engineering applications, especially in aerospace, mechanical and marine structures. The doubly-curved shells investigated possess variable positive (spherical), zero (cylindrical) and negative (hyperbolic paraboloidal) Gaussian curvatures. A global energy approach is proposed to the study of such shell problems. The Ritz minimization procedure with a set of orthogonally generated two-dimensional polynomial functions is employed in the current formulation. This method is shown to yield better versatility, efficiency and less computational execution than the discretization methods. © 1994.