Title

Finite Element Stiffness Matrices for Analysis of Plate Bending

Date

1966

Index Abstract

Not Available

Photo Quality

Not Needed

Report Number

AFFDL-TR-66-80 p. 515-545

Creator

Clough, Ray W.

Tocher, James L.

Corporate Author

University of California, Berkeley; The Boeing Compnay

Laboratory

Air Force Flight Dynamics Laboratory

Extent

31

Access Rights

Distribution of this document is unlimited.

Distribution Classification

1

Contract

Laboratory Research - No Contract

DTIC Record Exists

No

Distribution Change Authority Correspondence

None

Distribution Conflict

No

Report Availability

Full text available

Is Referenced By

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Ainsworth, Mark & Charles Parker "Computing H2-conforming Finite Element Approximations Without Having to Implement C1-Elements (2023) https://doi.org/10.48550/arXiv.2311.04771

Ainsworth, Mark & Charles Parker, "Computing H2
-Conforming Finite Element Approximations Without Having to Implement
C1-Elements", Numerical Algorithms for Scientific Computing, 46(4), 2024, https://doi.org/10.1137/23M161548

Ainsworth, Mark & Charles Parker, "Two and three dimensional H2-conforming finite
element approximations without C1-elements", 2024-06-01,
https://doi.org/10.48550/arXiv.2406.00338

Borlinghaus, Moritz , Christian Neyers & Jan Martin Brockmann "Development of a continuous spatiotemporal finite element-based representation of the mean sea surface", Journal of Geodesy 97:Article 16, 2023 https://doi.org/10.1007/s00190-023-01709-1

Heuer, Norbert, "Generalized mixed and primal hybrid methods with
applications to plate bending", 2024-06-18, https://doi.org/10.48550/arXiv.2406.12541

Vlachkova, Krassimira, "An Improved Algorithm for Scattered Data Interpolation Using Quartic Triangular Bézier Surfaces" in Numerical Geometry, Grid Generation and Scientific Computing (2021), p. 327-329 DOI: 10.1007/978-3-030-76798-3_21

Vlachkova, Krassimira "Interpolation of scattered data in R3 using minimum Lp-norm networks, 1<p<∞", arXiv e-print, arXiv:1902.07264, 2/19/2019

Vlachkova, Krassimira "Interpolation of scattered data in R3 using minimum Lp-norm networks, 1 < p < ∞", Journal of Mathematical Analysis and Applications, Volume 485, Issue 2, 2020, 123824, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2019.123824. (https://www.sciencedirect.com/science/article/pii/S0022247X19310923)

Vlachova, Krassimira & Krum Radev "A Comparative Study of Methods for Scattered Data Interpolation Using Minimum Norm Networks and Quartic Triangular Bézier Surfaces", CEUR Workshop Proceedings v. 3191, Infomation Systems and Grid Technologies (ISGT) 2022, p. 159-169)

Date Issued

1966-11

Abstract

A study is made of the relative accuracy provided by seven different types of finite elements in the approximate analysis of plate bending. The Kirchoff plate bending theory is assumed, and stiffness matrices for three rectangular and four triangular elements are considered. Included among these is a newly developed triangular element which provides for full displacement comparability along the edges of adjacent elements. Analyses are made with each of these elements of the central deflection in eight different rectangular plate systems, using five different mesh sizes. Two of the rectangular elements and the compatible triangular element are found to give results which converge toward the correct answer as the mesh size is refined.

Identifier

AD0646300

Provenance

Bombardier/Aero

Type

article

Format

1 online resource

Is Part Of

Matrix Methods in Structural Mechanics