Research Article
Apr 1973
Noncircular Cylinder Vibration by Multilocal Method
Publication: Journal of the Engineering Mechanics Division
Volume 99, Issue 2
Abstract
A modified multilocal difference scheme is presented for the free vibration analysis of nonhomogeneous orthotropic noncircular cylindrical shells with simply supported curved edges. The problem is formulated in terms of 10 first-order ordinary differential equations and in the finite-difference discretization two interlacing grids are used for the different fundamental unknowns in such a way as to reduce both the local discretization error and the bandwidth of the resulting finite-difference field equations. Numerical studies are presented for the effects of reducing the interior and boundary discretization errors and of mesh refinement on the accuracy and convergence of solutions. It is shown that the proposed scheme, in addition to a number of other advantages, leads to more accurate results than those obtained by other multilocal and ordinary difference schemes reported here-to-fore in the literature.
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Published In
Journal of the Engineering Mechanics Division
Volume 99 • Issue 2 • April 1973
Pages: 389 - 407
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© 1973 American Society of Civil Engineers.
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Published in print: Apr 1973
Published online: Feb 3, 2021
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Ahmed K. Noor, M.ASCE
Assoc. Research Prof. in Engrg., George Washington Univ. Ctr., NASA Langley Res. Ctr., Hampton, Va.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.