Vibration studies on skew plates : Treatment of internal line supports

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)941-951
Journal / PublicationComputers and Structures
Volume49
Issue number6
Publication statusPublished - 17 Dec 1993
Externally publishedYes

Abstract

A comprehensive literature survey on the vibration of thin skew plates is presented and a few virgin areas on this subject are identified. As an initial part of a research plan to fill these gaps, the paper focuses on vibrating skew plates with internal line supports. For analysis, the pb-2 Rayleigh-Ritz method is used. The Ritz function is defined by the product of (1) a two-dimensional polynomial function, (2) the equations of the boundaries with each equation raised to the power of 0, 1, or 2 corresponding to a free, simply supported or clamped edge and (3) the equations of the internal line supports. Since the pb-2 Ritz function satisfies the kinematic boundary conditions at the outset, the analyst need not be inconvenient by having to search for the appropriate function; especially when dealing with any arbitrary shaped plate of various combinations of supporting edge conditions. Based on this simple and accurate pb-2 Rayleigh-Ritz method, tabulated vibration solutions are presented for skew plates with different edge conditions, skew angles, aspect ratios and internal line support positions. © 1994.

Citation Format(s)

Vibration studies on skew plates: Treatment of internal line supports. / Liew, K. M.; Wang, C. M.
In: Computers and Structures, Vol. 49, No. 6, 17.12.1993, p. 941-951.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review