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An indirect Trefftz method for the steady-state dynamic analysis of coupled vibro-acoustic systems

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Konferencja
International Workshop on the Trefftz Method (2 ; 1999 ; Lisbon, Portugal)
Języki publikacji
EN
Abstrakty
EN
A new prediction technique, based on the indirect Trefftz method, has been developed for the steady-state dynamic analysis of coupled vibro-acoustic systems. In contrast with the finite element method, in which the dynamic field variables within each element are expanded in terms of local, non-exact shape functions, the dynamic field variables are expressed as global wave function expansions, which exactly satisfy the governing dynamic equations. The contributions of the wave functions to the coupled vibro-acoustic response result from a weighted residual formulation of the boundary conditions. This paper discusses the basic principles and convergence properties of the new prediction technique and illustrates its performance for some two-dimensional validation examples. A comparison with the finite element method indicates that the new prediction method has a substantially higher convergence rate. This makes the method suitable for accurate coupled vibro-acoustic predictions up to much higher frequencies than the finite element method.
Słowa kluczowe
Rocznik
Strony
271--288
Opis fizyczny
Bibliogr. 11 poz., tab., wykr.
Twórcy
autor
  • Katholieke Universiteit Leuven, Department of Mechanical Engineering, Division PMA Celestijnenlaan 300 B, B-3001 Leven, Belgium
autor
  • Katholieke Universiteit Leuven, Department of Mechanical Engineering, Division PMA Celestijnenlaan 300 B, B-3001 Leven, Belgium
  • Katholieke Universiteit Leuven, Department of Mechanical Engineering, Division PMA Celestijnenlaan 300 B, B-3001 Leven, Belgium
Bibliografia
  • [1] A. Craggs. An acoustic finite element approach for studying boundary exibility and sound transmission between irregular enclosures. J. Sound Vib., 30:343-357, 1973.
  • [2] W. Desmet. A wave based prediction technique for coupled vibro-acoustic analysis. PhD thesis, K.U. Leuven, 1998. PhD dissertation.
  • [3] I. Herrera. Boundary methods. An algebraic theory. Advanced Publishing Program. Pitman, Boston, 1984.
  • [7] M.C. Junger, D. Feit. Sound, Structures and Their Interaction. The MIT Press, Cambridge, Massachusetts, London, 1972.
  • [4] E. Kita and N. Kamiya. Trefftz method: an overview. Advances in Engineering Software, 24:3{12, 1987.
  • [5] R.S. Langley. Some perspectives on wave-mode duality in sea. In F.J. Fahy and W.G. Price, editors, Solid Mechanics and its Applications - IUTAM Symposium on Statistical Energy Analysis, pages 1-12, Dordrecht, Boston, London, 1997. Kluwer Academic Publishers.
  • [6] P. Masson, E. Redon, J.-P. Priou, and Y. Gervais. The application of the trefftz method to acoustics. In M.J. Crocker, editor, Proceedings of the Third International Congress on Air-and Structure-borne Sound and Vibration, pages 1809-1816, Montreal, 1994.
  • [8] E. Trefftz. Ein Gegenstück zum Ritzschen Verfahren. In Proceedings 2nd International Congress of Applied Mechanics, pages 131-137, Zurich, 1926.
  • [9] J.M. Varah. A practical examination of some numerical methods for linear discrete ill-posed problems. SIAM Rev., 21:100-111, 1979.
  • [10] J.M. Varah. Pitfalls in the numerical solution of linear ill-posed problems. SIAM J. Sci. Stat. Comput, 4:164-176, 1983.
  • [11] A.P. Zielinski and I. Herrera. Trefftz method: fitting boundary conditions. Int. J. Num. Meth. Eng., 24:871-891, 1987.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0006-0044
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