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In this paper Trefftz polynomials are used for the BEM (Boundary Element Method) based on the reciprocity relations. BEM provides a powerful tool for the calculation of dynamic structural response in the frequency and time domains. Field equations of motion and boundary conditions are cast into boundary integral equations (BIE), which are discretized only on the boundary [1]. Trefftz polynomials or other non-singular (e.g. harmonic), Trefftz functions [2] (i.e. functions satisfying all governing differential equations but not the boundary conditions) used in the Betti's reciprocity relations lead to corresponding BIE that do not contain any (weak, strong, hyper) singularities. Fundamental solutions are not needed and evaluation of the field variables inside the domain is simpler.
Rocznik
Tom
Strony
239--245
Opis fizyczny
Bibliogr. 11 poz., wykr., tab.
Twórcy
autor
- University of Žilina, Faculty of Mechanical Engineering, Velky Diel, Žilina, Slovak Republik
autor
- University of Žilina, Faculty of Mechanical Engineering, Velky Diel, Žilina, Slovak Republik
Bibliografia
- [1] .J. Dominguez. Boundary elements in dynamics. CMP Elselvier, Essex, first edition, 1993.
- [2] V. Kompis, L. .lakubovicova, F. Konkol. Non-singular reciprocity based BEM/FEM formulations. IUTAM/IACEM/IABEM Symposium on Advanced Math. and Comput. Mech. Aspects of the Bound. Elem. Meth., 264 (61): 264-269, 1994.
- [3] P.J. Hunter, A.J. Pullan. FEM/BEM NOTES. Web-based Document, http://www.esc.auckland.ac.nz/Academic/Texts/FEM-BEM-notes.html, 1997.
- [4] D. Nardini, C.A. Brebbia. Boundary integral formulation of mass matrices for dynamic analysis. In Topics in Boundary Element Resarch, Vol. 2, Springer-Verlag, Berlin and New York, 1985.
- [5] Q.-H. Quin. The trefftz finite and boundary element method. WIT Press Southampton, Boston, first edition, 2000.
- [6] M. Kitahara. Boundary integral equation methods in eigenvalue problems of elastodynamics and thin plates. Elsevier, Amsterdam, first edition, 1985.
- [7] L.M. Brekhovskikh, V. Goncharov. Mechanics of continua and wave dynamics. Springer-Verlag, Berlin, second edition, 1994.
- [8] W.T. Thomson. Theory of vibration with applications. Chapman & Hall, London, fourth edition, 1993.
- [9] P.J. Davis, P. Rabinowitz. Methods of numerical integration. Academic Press, New York, first edition, 1975.
- [10] P.W. Partrige, C.A. Brebbia. The dual reciprocity method. In: M.H. Aliabadi et al, eds., Advanced Formulations in Boundary Element Methods, pages 31-75, Southampton, CMP Elsevier, 1993.
- [11] D.J. Gorman. Free vibration analysis of rectangular plates. Elsevier, Amsterdam, first edition, (1982).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0011-0044