PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Thin plate bending analysis using an indirect Trefftz collocation method

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this work, the application of an indirect Trefftz collocation method to the analysis of bending of thin plates (Kirchhoff's theory) is described. The deflection field approximation is obtained with the use of a set of functions satisfying a priori the homogeneous part of the differential equation of the problem. Each of the approximating functions is derived from a known thick plate solution. The boundary conditions are imposed by means of continuous (integral) and discrete (collocation) least squares methods. Numerical examples are presented and the accuracy of the proposed technique is assessed.
Słowa kluczowe
Rocznik
Strony
1--16
Opis fizyczny
Bibliogr. 15 poz., tab., wykr.
Twórcy
autor
  • Departament of Civil Engineering, Technical University of Budapest, H-1521 Budapest, Hungary
  • Departamento de Engenharia Civil Instituto Superior Tecnico, 1049-001 Lisboa, Portugal
  • Departament of Civil Engineering, Technical University of Budapest, H-1521 Budapest, Hungary
Bibliografia
  • [1] E. D. Eason. A review of least-squares methods for solving partial differential equations. International journal for numerical methods in engineering, 10:1021– 1046, 1976.
  • [2] Carlos M. T. T. Fernandes.Utilização e Desenvolvimento de uma Formulação Indirecta de Trefftz na Análise de Lajes Finas. Thesis, Instituto Superior Técnico, Universidade Técnica de Lisboa, 1999, MSc (in portuguese).
  • [3] Carlos Fernandes and Vitor Leitão. On a least squares Trefftz collocation method for plate bending. Editors: V. Kompiš, Milan Žmindák e Branislav Hučko, Numerical Methods in Continuum Mechanics, pages 7–12, High Tatras, Slovak Republic , 6-9 th October, 1998. University of Žilina.
  • [4] J. R. Hutchinson. Analysis of plates and shells by boundary collocation. Boundary Element Analysis of Plates and Shells, editor: D. F. Beskos, SpringerVerlag, pages 341–368, 1991.
  • [5] J. Jiroušek and N. Leon, A powerful finite element for plate bending, Comp. Meth. Appl. Mech. Eng., 1977, 12, 77-96.
  • [6] J. Jiroušek and A. Wróblewski, Archives of computational methods in engineering, 1996, vol. 3,4, pp. 323-434.
  • [7] Kita, E., Kamiya, N., Trefftz method: an overview, Advances in Engineering Software, 1995, 24, pp. 3-12.
  • [8] J. A. Kolodziej. Review of application of boundary collocation methods in mechanics of continuous media. Solid Mechanics Archives, 12:187–231, 1987.
  • [9] Piltner, R., Recent developments in the Trefftz method for finite element and boundary element applications, Advances in Engineering Software, 1995, 24, 107-115.
  • [10] Trefftz, E., Ein Gegenstuck zum Ritzschen Verfharen, Proc. 2nd Int. Cong. Appl. Mech., Zurich, pp. 131-137, (1926).
  • [11] Timoshenko and S. Woinowsky-Krieger, Theory of plates and shells. 2nd ed. McGraw-Hill, 1959.
  • [12] A. Venkatesh and J. Jiroušek. Accurate representation of local effects due to concentrated and discontinuous loads in hybrid-Trefftz plate bending elements. Computers & Structures, 57(5):863–870, 1995.
  • [13] B. C. Wu and N. J. Altiero. A boundary integral method applied to plates of arbitrary plan form and arbitrary boundary conditions. Computers & Structures, 10:703–707, 1979.
  • [14] B. C. Wu and N. J. Altiero. A new numerical method for the analysis of anisotropic thin-plate bending problems. Computer methods in applied mechanics and engineering, 25:343–353, 1981.
  • [15] Zielinski, A.P., On trial functions applied in the generalized Trefftz method, Advances in Engineering Software, 1995, 24, pp. 147-155.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0006-0029
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.