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Application of the finite element methods in long-term simulation of the multi physics systems with large transient response differences

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Application of the Finite Element Method (FEM) and the Multibody Dynamics Method (MBS) allows analyzing of complex physical systems. Complexity of the system could be related both to the geometry and the physical description of phenomenon. MBS is the excellent tool for analyzing statics or dynamics of the mechanical systems. MBS permits tracking of Multi Body System transient response for the long-term simulations and application of any arbitrary set of mechanical forcing functions. However, this method does not allow observing state of the continuum systems. Besides, applying forcing functions other than mechanical ones (i.e. general forces or displacements) is troublesome in MBS. In case of FEM most of algorithms encounter continuity conditions across the element boundaries , and thanks to this FEMis one of the most suitable calculation method for continua multi-physics systems (i.e. thermo-structural, electro-thermo-structural, magneto-thermo-structural, MEMS, etc.). Common problem with FEM is that there are major calculation difficulties when long-term simulation results are required and/or large relative motions are present in the system. Drawbacks of FEM and MBS could be overcome with use of algorithm based on the modifled Hybrid Finite Element Method presented further in this paper. Traditional Hybrid Finite Element Method model consists of rigid end deformable elements, system matrices derived for all compound elements are calculated concurrently. In this approach both advantages and disadvantages of FEM and MBS are transferred to the model. Proposed modified Hybrid Finite Element Method algorithm exploits two corresponding coupled discrete models, one containing FEM elements and the other MBS only. Both models are coupled by means of forcing functions. Such approach is applicable for the multi-physics systems with large transient response differences.
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  • Gdansk University of Technology, Department of Mechanical Engineering Narutowicza Street 11/12, 80-952 Gdansk, Poland tel: +48 58 3472929, fax: +48 58 3472151, kmiwm@jan.mech.pg.gda.pl
Bibliografia
  • [1] Kahsin, M., Analiza wpływu ustalonych warunków termodynamicznych na wybrane modele wirników kompozytowych, Politechnika Gdańska, Gdańsk 2003.
  • [2] Kahsin, M., The strains caused by transient thermal field in the shafts, XIV Internationale Tagung Forschung – Praxis - Didaktik im modernen Maschinenbau, Strlsund 2004.
  • [3] Kahsin, M., Wpływ odkształceń termicznych na drgania wałów wirników turbozespołów, Politechnika Gdańska, Gdańsk 2006.
  • [4] Kleiber, M., Wołniak, Cz., Nonlinear Mechanics of Structures, PWN, Warszawa 1991.
  • [5] Kleiber, M., (Ed.), Komputerowe metody mechaniki ciał stałych, PWN, Warszawa 1995.
  • [6] Kruszewski, J., Sawiak, S., Wittbrodt, E., Metoda sztywnych elementów skończonych w dynamice konstrukcji, WNT, Warszawa 1999.
  • [7] Release 10.0 Documentation for ANSYS, Theory manual, 2006.
  • [8] Wittbrodt, E., Dynamika układów o zmiennej konfiguracji z zastosowaniem metody elementów skończonych, Zeszyty Naukowe Politechniki Gdańskiej, Mechanika No. 343, Gdańsk 1983.
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bwmeta1.element.baztech-article-BUJ5-0033-0124
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