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Vibration and stability of an initially stressed thick plate according to a high-order deformation theory

โœ Scribed by Ji-Liang Doong

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
587 KB
Volume
113
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

In this paper, the average stress method is used to derive the governing equation for a thick rectangular plate according to a high-order deformation theory. The applied load is taken to be a combination of a pure bending stress plus an extensional stress in the plane of the plate. The buckling loads and natural frequencies of simply supported plates are also investigated. Present results based on high-order theory are compared with the results of Brunelle's theory and Reddy's theory. In addition, the effects of various parameters on the natural frequencies are studied. More accurate results can be obtained by using the present theory than those of the other theories.

๐Ÿ“œ SIMILAR VOLUMES

LARGE AMPLITUDE VIBRATION OF PLATES ACCO
LARGE AMPLITUDE VIBRATION OF PLATES ACCORDING TO A HIGHER ORDER DEFORMATION THEORY
โœ C.-S. Chen; J.-Y. Lai; J.-L. Doong ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 540 KB

Based on a higher order plate theory, non-linear partial differential equations for the vibrating motion of a plate are derived. By using these equations, the large amplitude vibration of a simply supported rectangular plate is investigated. By neglecting the higher order terms and introducing the s