Effective flexural rigidity of perforated plates by means of Trefftz method with using special purpose Trefftz functions

  • Jan A. Kołodziej Poznań University of Technology
  • Magdalena Mierzwiczak Poznań University of Technology
  • Henryk Tylicki University of Technology and Life Science in Bydgoszcz

Abstract

The main purpose of this paper is the investigation of the boundary effect in bending problem of perforated plates and its influence on the effective flexural rigidity. The considered strip plate is loaded by constant uniformly distributed load and has square penetration pattern. The boundary value problem for determination of deflection repeated element of structure is solved by means of boundary collocation method with a use of the special purpose Trefftz functions. These functions fulfil exactly not only governing equation but also boundary conditions on holes and some symmetry conditions. The number of perforations is discussed on effective rigidity.

Keywords

Trefftz method, special purpose Trefftz functions, perforated plate, effective flexural rigidity,

References

[1] P. Ie Fort. Bending of perforated plates with square penetration patterns. Nuclear Engineering and Design, 12: 122- 134, 1970
[2] KA. Gardner. Heat-exchanger tubesheet design. ASME Journal of Applied Mechanics, 70: 377-385, 1948. [3] KA. Gardner. Heat-exchanger tubesheet design - 2. ASME Journal of Applied Mechanics. 74: 159- 166, 1952.
[4] K.A. Gardner. Tubesheet design: a basis for standardization. First International Conference on Pressure Vessel Technology, 621-647, Delft, 1969.
[5] J.G. Goldberg, KN. Jabbour. Stresses and displacement in perforated plate. Nuclear Structural Engineering, 2: 360- 381, 1965.
[6] G. Horvay. The plane stress problem of perforated plates. ASME Journal of Applied Mechanics, 74: 355-360, 1952.
[7] J. Jirousek, L. Guex. The hybrid-Trefftz finite element model and its application to plate bending. International Journal for Numerical Method in Engineering, 23: 651- 693, 1986.
[8] J.A. Kołodziej . Review of application of boundary collocation methods in mechanics of continuous media. Solid Mechanics Archives, 12: 187-231, 1987.
[9] KA.G. Miller. The design of tube plates in heat exchangers. Proceedings of Institution of Mechanical Engineers, 18: 215-231, 1952.
[10] W. Nowacki. Dźwigary powierzchniowe. PWN, Warszawa, 1979.
[11] V.G. Ukadgaonker, P.A. Kale, N.A. Agnihotri, R. Shanmuga Babu. Review of analysis of tube sheets. International Journal of Pressure Vessels and Piping, 67: 279-297, 1996.
[12] A.P. Zieliński. On trial functions applied in generalized Trefftz method, Advances in Engineering Software, 18: 147- 155, 1995.
Published
Jul 19, 2022
How to Cite
KOŁODZIEJ, Jan A.; MIERZWICZAK, Magdalena; TYLICKI, Henryk. Effective flexural rigidity of perforated plates by means of Trefftz method with using special purpose Trefftz functions. Computer Assisted Methods in Engineering and Science, [S.l.], v. 15, n. 3-4, p. 225-237, july 2022. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/731>. Date accessed: 21 nov. 2024.
Section
Articles