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Record Details

Record 100 of 68064
A triangular element based on generalized potential energy concepts
Author and Affiliation:
Thomas, G. R.(McGill University, Montreal, Canada)
Gallagher, R. H.(Cornell University, Ithaca, N.Y., United States)
Abstract: Stiffness equations are formulated for a doubly-curved triangular thin shell finite element. The strain energy component of the potential energy is first expressed in terms of displacements and displacement gradients with the aid of consistent deep shell strain-displacement equations. The element in-plane and normal displacement fields are approximated by complete cubic polynomials. These functions do not satisfy the interelement displacement admissibility conditions. Satisfaction is forced by the imposition of constraint conditions on the interelement boundaries; the constraints represent the modification of the potential energy. Some numerical results for a pinched cylinder, a cylindrical sphere, and a pinched sphere are examined.
Publication Date: Jan 01, 1976
Document ID:
19770035247
(Acquired Dec 01, 1995)
Accession Number: 77A18099
Subject Category: STRUCTURAL MECHANICS
Document Type: Collected Works
Publication Information: (SEE A77-18093 06-39)
Publisher Information: United Kingdom
Contract/Grant/Task Num: NGR-33-010-070
Financial Sponsor: NASA; United States
Organization Source: McGill Univ.; Montreal Quebec, Canada
Description: 15p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright
NASA Terms: FINITE ELEMENT METHOD; POTENTIAL ENERGY; STIFFNESS MATRIX; STRUCTURAL ANALYSIS; THIN WALLED SHELLS; BODY KINEMATICS; CYLINDRICAL SHELLS; DISPLACEMENT; RIGID STRUCTURES; SPHERICAL SHELLS; STRAIN ENERGY METHODS
Imprint And Other Notes: In: Finite elements for thin shells and curved (A77-18093 06-39) London and New York, John Wiley and Sons, 1976, p. 155-169.
Availability Source: Other Sources
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