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Eigencharacteristics of fluid filled tanks: an extended symmetrical coupled approach

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the numerical analysis of the eigen behaviour of large liquid and gas storage tanks, an important role is played by initial pre-stressing of such thin-walled structures due to high fluid pressure and gravity. In a majority of numerical simulations, the finite state of deformation is first calculated, following which small, linear vibrations are superimposed on the finite state. This paper is devoted to refinement and assessment of the basic Eckart superimposed eigencharacteristics problem simultaneously stated in fluid and thin-walled structures. Eckart's coupled approach leads to variational structure-fluid coupling in the so-called acoustic approximation. In order to verify the feasibility and correctness of the symmetrical Eckart approach, finite element discretization and a calculation example of a rectangular tank are presented. The calculated results are compared with literature ones.
Rocznik
Strony
455--468
Opis fizyczny
Bibliogr. 20 poz., rys., tab.
Twórcy
autor
  • Institute of Fluid Flow Machinery, Polish Academy of Sciences, Fiszera 14, 80-952 Gdansk, Poland, robertk@imp.gda.pl
Bibliografia
  • [1] Zienkiewicz O C and Taylor R L 1991 The Finite Element Method, McGraw-Hill, NY
  • [2] Morland H J-P and Ohayon R 1995 Fluid Structure Interaction - Applied Numerical Methods, John WHey & Sons, NY
  • [3] Howe M S 1998 Acoustics of Fluid-Structure Interaction, Cambridge University Press, NY
  • [4] Chen S-S 1972 Free vibration of a coupled fluid/structural system, J. Sound and Vibration 21 387
  • [5] Oden J T, Kikuchi N and Song Y J 1982 Penalty finite element method for the analysis of Stokesian flows, Comput. Meth. Appl. Mech. Eng. 31 297
  • [6] Zienkiewicz O C and Betters P 1978 Fluid-structure dynamic interaction and wave forces An introduction to numerical treatment, Int. J. Num. Meth. Eng. 13 1
  • [7] Ding W P and Chen H L 2001 A symmetrical finite element model for structure-acoustic coupling analysis of an elastic, thin-walled cavity, J. Sound and Vibration 243 547
  • [8] Everstine G C 1981 A symmetric potential formulation for fluid-structure interaction, J. Sound and Vibration 79 157
  • [9] Cho J-R and Song J-M 2001 Assessment of classical numerical models for the separate fluid-structure modal analysis, J. Sound and Vibration 239 995
  • [10] Sandberg G and Goransson P 1988 A symmetric finite element formulation for acoustic fluid-structure interaction analysis, J. Sound and Vibration 123 507
  • [11] Cho J R and Lee H W 2004 Numerical study on liquid sloshing in baffled tank by nonlinear element method, Comput. Meth. Appl. Mech. Eng. 193 2581
  • [12] Eckart C 1963 Some transformations of the hydrodynamic equations, Phys. Fluids 6 1037
  • [13] Cho J R, Lee H W and Kim K W 2002 Free vibration analysis of baffled liquid-storage tanks by the structural-acoustic finite element formulation, J. Sound and Vibration 258 847
  • [14] Cho J R and Oden J T 1997 Locking and boundary layer in hierarchical models for thin elastic structures, Comput. Meth. Appl. Mech. Eng. 149 33
  • [15] Badur J 1984 Numerical shell analysis via a second order approximation to the internal energy, PhD Thesis, Institute of Fluid Flow Machinery, Polish Academy of Sciences, Gdansk
  • [16] Zienkiewicz O C, Too J and Taylor R L 1971 Reduced integration technique in general analysis of plates and shells, Int. J. Num. Meth. Eng. 3 275
  • [17] Kekana M and Badur J 2000 Modeling of beams using the reduced integration technique statics and free vibration, Res. Dev. J. 169
  • [18] Badur J and Chróścielewski J 1985 Reduced integration technique in nonlinear shell theory, Proc. V Conf. on "Computational Methods in Structure Mechanics", Gdynia, pp. 12-17
  • [19] Chróścielewski J, Lubieniecka I and Pietraszkiewicz W 2004 FEM and time stepping procedures in non-linear dynamics of flexible shell structures, Theories of Plates and Shells, (Kienzler R et al. Eds) Euromech. Colloquium, 444, pp. 21-28
  • [20] Oden J T and Demkowicz L F 1996 Applied Functional Analysis, CRC Press Inc., Boca Raton
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG5-0016-0054
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