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

top
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

top

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

top
  1. I. Babuška M. Práger, Reissnerian Algorithms in the Theory of Elasticity, Bulletin de l' Academie Polonaise des Sciences, Série des sciences techniques, Vol. VIII, No. 8, pp. 411 - 417, 1960, Рейснеровы алгоритмы в теории упругости, Механика, сб. переводов, № 6, стр. 123-128, 1961. (1960) 
  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) 
  3. Л. Я. Айнола, Об уточненных теориях типа Рейснера, Сборник ,,Теория оболочек и пластин", Изд. АНАрмССР, Ереван, стр. 171-177, 1964. (1964) Zbl1117.65300
  4. Л. С. Лейбепзон, Собрание трудов, T.И., Изд. АН СССР, Москва 1951. (1951) Zbl1165.94313
  5. I. Babuška, al., Algorithmi of the Reissnerian Type in the Mathematical Theory of Elasticity, (in Czech), Sborník 24 Fak. inž. stav. ČVUT v Praze, Státní ped. nakl., pp. 15-47, Praha 1961. (1961) 
  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) 
  7. А. Л. Гольденвейзер, Построение приближенной теории изгиба пластинки методом асимптотического интегрирования уравнений теории упругости, Прикладная математика и механика, T. XXVi, № 4, стр. 668-686, 1962. (1962) Zbl1005.68507
  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
  10. А. И. Лурье, Пространственные задачи теории упругости, Гос. изд. тех.-теор. лит., Москва, 1955. (1955) Zbl1160.26300
  11. E. Reissner, On the theory of bending of elastic plates, Journal of Mathematics and Physics, Vol. 23, pp. 184-191, 1944. (191,) MR0011647
  12. H. Hencky, Über die Berücksichtigung der Schubverzerrung in ebenen Platten, Ingenieur-Archiv, Bd. 16, S. 72-76, 1947. (1947) Zbl0030.04301MR0028766
  13. X. M. Муштари, Теория изгиба плит средней толщины, Изв. АН СССР, OTH, Механика и машиностроение, № 2, стр. 107-113, 1959. (1959) Zbl1047.90504
  14. С. А. Амбарцумян, Теория анизотропных оболочек, Гос. изд. физ.-мат. лит., Москва, 1961. (1961) Zbl1160.68305
  15. С. Raymondi, Contributo allo studio della lastra sottile inflessa, Atti dell'Istituto di Scienza delía Construzioni dell'Università di Pisa, No. 96, 1963. (1963) 
  16. T. T. Хачатурян, К теории изгиба и сжатия толстых плит, Изв. АН Арм. CCP, Серия физико-математических наук, XVI, № 6, стр. 41-61, 1963. (1963) Zbl1145.93303
  17. T. T. Хачатурян, Об одном варианте линейной теории плит и оболочек, Сборник ,,Проблемы устойчивости в строительной механике", стр. 329-338, Изд. лит. по строит., Москва, 1965. (1965) Zbl1099.01519
  18. J. Sulocki, Application of Differential Operators to Problems of the Theory of Elasticity, (in Polish), Rozprawy Inżynierske, T. XII, 22, pp. 339-395, 1964. (1964) Zbl0129.17301MR0185880
  19. V. Pane, 10.1007/BF00531894, Ingenieur-Archiv, Bd. 33, H. 6, S. 351-371, 1964. (1964) MR0170521DOI10.1007/BF00531894
  20. M. П. Шереметьев Б. Л. Пелех, К построению уточненной теории пластин, Инженерный журнал, Том IV, № 3, стр. 504-509, 1964. (1964) Zbl1230.62001
  21. Б. Ф. Власов, Об одном случае изгиба прямоугольной толстой плиты, Вестник Московского университета, Механика, № 2, стр. 25-34, 1957. (1957) Zbl0995.90594

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.