Research Article
Feb 1973
High Order Rectangular Shallow Shell Finite Element
Publication: Journal of the Engineering Mechanics Division
Volume 99, Issue 1
Abstract
The stiffness matrix for a high order shallow shell finite element is presented explicitly. The element is of rectangular plan and possesses three constant radii of curvature: two principal ones and a twist one. Each of the three displacement functions is assumed as the product of one-dimensional, first-order Hermite interpolation formulas. An eigenvalue analysis performed on the element stiffness matrix shows that the six rigid-body displacements are included. Convergence studies are carried out for a cylindrical shell, a translational shell with two constant principal radii of curvature, and a hyperbolic paraboloidal shell with a constant twist radius of curvature. Excellent agreements are found when comparing the present results with the alternative series and finite difference solutions. A review of the previously developed shell finite elements shows that the present element is highly efficient in terms of convergence rate or computational effort.
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Published In
Journal of the Engineering Mechanics Division
Volume 99 • Issue 1 • February 1973
Pages: 157 - 181
Copyright
© 1973 American Society of Civil Engineers.
History
Published in print: Feb 1973
Published online: Feb 3, 2021
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T.Y. Yang, AM.ASCE
Assoc. Prof., School of Aeronautics, Astronautics, and Engrg. Sci., Purdue Univ., West Lafayette, Ind.
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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.