Contribution to the Reissnerian algorithm in the theory of bending of elastic plates

Alexander Hanuška

Aplikace matematiky (1967)

  • Volume: 12, Issue: 6, page 449-467
  • ISSN: 0862-7940

Abstract

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The differential equations and the boundary conditions corresponding to various variants of approximation of the displacements are derived. Using the example of a square plate the results of the colution according to these variants are compared with some known refined theoris.

How to cite

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Hanuška, Alexander. "Contribution to the Reissnerian algorithm in the theory of bending of elastic plates." Aplikace matematiky 12.6 (1967): 449-467. <http://eudml.org/doc/14504>.

@article{Hanuška1967,
abstract = {The differential equations and the boundary conditions corresponding to various variants of approximation of the displacements are derived. Using the example of a square plate the results of the colution according to these variants are compared with some known refined theoris.},
author = {Hanuška, Alexander},
journal = {Aplikace matematiky},
keywords = {mechanics of solids},
language = {eng},
number = {6},
pages = {449-467},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Contribution to the Reissnerian algorithm in the theory of bending of elastic plates},
url = {http://eudml.org/doc/14504},
volume = {12},
year = {1967},
}

TY - JOUR
AU - Hanuška, Alexander
TI - Contribution to the Reissnerian algorithm in the theory of bending of elastic plates
JO - Aplikace matematiky
PY - 1967
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 12
IS - 6
SP - 449
EP - 467
AB - The differential equations and the boundary conditions corresponding to various variants of approximation of the displacements are derived. Using the example of a square plate the results of the colution according to these variants are compared with some known refined theoris.
LA - eng
KW - mechanics of solids
UR - http://eudml.org/doc/14504
ER -

References

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  2. I. Babuška, Problems of Optimal Reduction of Three-Dimensional Problems of Theory of Elasticity, Theory of Plates and Shelles, pp. 15-28, Vydavatelstvo SAV, Bratislava 1966. (1966) 
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  6. I. Hlaváček, Solution of Bending of a Circular Plate Using the Method of Reissnerian Algorithmus of First Kind, (In Czech), Aplikace Matematiky, 9, pp. 173-185, 1964. (1964) 
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  8. K. О. Friedrichs R. F. Dressler, A Boundary - Layer Theory for Elastic Plates, Communications on Pure and Applied Mathematics, Vol. XIV., pp. 1 - 33, 1961. (1961) MR0122117
  9. А. И. Лурье, К задаче о равновесии пластины переменной толщины, Труды Ленинградско- го индустиального института, № 6, стр. 57-80, 1936. (1936) Zbl0173.16902
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