Skip to main content
Erschienen in:

23.06.2022 | Original Article

Multiphysics mode synthesis of fluid–structure interaction with free surface

verfasst von: Kang-Heon Lee, Robel Weldebrhan Hagos, Seongmin Chang, Jin-Gyun Kim

Erschienen in: Engineering with Computers | Ausgabe 4/2023

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

A new component mode synthesis (CMS) is introduced for reduced-order modeling of fluid–structure interaction (FSI) with a free surface. The components imply parts of structures in the CMS method of conventional structural vibration, but they are mono-physics domains in multiphysics problems. Therefore, unlike the original CMS, the interface constraint modes for multiphysics need to be newly defined to reflect the interaction between different physics, which is realized by a sequential model reduction scheme, which is known as multiphysics mode synthesis (MMS). This study addresses a widely used asymmetric (u, p) formulation that comprises structural displacement (u) and fluid pressure (p) including free surface and interior fluid. In carrying out the proposed sequential MMS, the structural part is first reduced, and then, a newly refined coupling matrix including structural modal effects is added to the fluid matrices. The fluid part is then reduced with the updated matrices. Consequently, accuracy improvement of the reduced matrices is achieved while preserving the strongly coupled effect in the proposed MMS, and the numerical instabilities in the model reduction process are alleviated. Better computational efficiency of the reduction process is also achieved by ignoring the higher order coupling terms that have numerically less effect. The performance of the proposed MMS is illustrated through numerical examples.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Morand HJ, Ohayon R (1995) Fluid structure interaction. Wiley, New YorkMATH Morand HJ, Ohayon R (1995) Fluid structure interaction. Wiley, New YorkMATH
2.
Zurück zum Zitat Morand H, Ohayon R (1979) Substructure variational analysis of the vibrations of coupled fluid–structure systems. Finite element results. Int J Numer Meth Eng 14(5):741–755CrossRefMATH Morand H, Ohayon R (1979) Substructure variational analysis of the vibrations of coupled fluid–structure systems. Finite element results. Int J Numer Meth Eng 14(5):741–755CrossRefMATH
3.
Zurück zum Zitat Zienkiewicz OC, Bettess P (1978) Fluid-structure dynamic interaction and wave forces. An introduction to numerical treatment. Int J Numer Meth Eng 13(1):1–16CrossRefMATH Zienkiewicz OC, Bettess P (1978) Fluid-structure dynamic interaction and wave forces. An introduction to numerical treatment. Int J Numer Meth Eng 13(1):1–16CrossRefMATH
4.
Zurück zum Zitat Everstine GC (1981) A symmetric potential formulation for fluid–structure interaction. J Sound Vib 79(1):157–160CrossRef Everstine GC (1981) A symmetric potential formulation for fluid–structure interaction. J Sound Vib 79(1):157–160CrossRef
5.
Zurück zum Zitat Sandberg G, Goransson P (1988) A symmetric finite element formulation for acoustic fluid–structure interaction analysis. J Sound Vib 123(3):507–515CrossRef Sandberg G, Goransson P (1988) A symmetric finite element formulation for acoustic fluid–structure interaction analysis. J Sound Vib 123(3):507–515CrossRef
6.
Zurück zum Zitat Ohayon R, Soize C (1997) Structural acoustics and vibration: mechanical models, variational formulations and discretization. Elsevier, Amsterdam Ohayon R, Soize C (1997) Structural acoustics and vibration: mechanical models, variational formulations and discretization. Elsevier, Amsterdam
7.
Zurück zum Zitat Herrmann J, Maess M, Gaul L (2010) Substructuring including interface reduction for the efficient vibro-acoustic simulation of fluid-filled piping systems. Mech Syst Signal Process 24(1):153–163CrossRef Herrmann J, Maess M, Gaul L (2010) Substructuring including interface reduction for the efficient vibro-acoustic simulation of fluid-filled piping systems. Mech Syst Signal Process 24(1):153–163CrossRef
8.
Zurück zum Zitat Tran QH, Ouisse M, Bouhaddi N (2010) A robust component mode synthesis method for stochastic damped vibroacoustics. Mech Syst Signal Process 24(1):164–181CrossRef Tran QH, Ouisse M, Bouhaddi N (2010) A robust component mode synthesis method for stochastic damped vibroacoustics. Mech Syst Signal Process 24(1):164–181CrossRef
9.
Zurück zum Zitat Craig RR, Bampton MC (1968) Coupling of substructures for dynamic analyses. AIAA J 6(7):1313–1319CrossRefMATH Craig RR, Bampton MC (1968) Coupling of substructures for dynamic analyses. AIAA J 6(7):1313–1319CrossRefMATH
10.
Zurück zum Zitat Kim JG, Park YJ, Lee GH, Kim DN (2017) A general model reduction with primal assembly in structural dynamics. Comput Methods Appl Mech Eng 324:1–28MathSciNetCrossRefMATH Kim JG, Park YJ, Lee GH, Kim DN (2017) A general model reduction with primal assembly in structural dynamics. Comput Methods Appl Mech Eng 324:1–28MathSciNetCrossRefMATH
12.
13.
Zurück zum Zitat J. Cui, J. Xing, X. Wang, Y. Wang, S. Zhu, G. Zheng (2017)A simultaneous iterative scheme for the Craig-Bampton reduction based substructuring, In: Dynamics of coupled structures, vol 4, Springer, Cham, p 103–114 J. Cui, J. Xing, X. Wang, Y. Wang, S. Zhu, G. Zheng (2017)A simultaneous iterative scheme for the Craig-Bampton reduction based substructuring, In: Dynamics of coupled structures, vol 4, Springer, Cham, p 103–114
14.
Zurück zum Zitat Go MS, Lim JH, Kim JG, Hwang KR (2020) A family of Craig-Bampton methods considering residual mode compensation. Appl Math Comput 369:124822MathSciNetMATH Go MS, Lim JH, Kim JG, Hwang KR (2020) A family of Craig-Bampton methods considering residual mode compensation. Appl Math Comput 369:124822MathSciNetMATH
15.
Zurück zum Zitat Chung IS, Kim JG, Chae SW, Park KC (2021) An iterative scheme of flexibility-based component mode synthesis with higher order residual modal compensation. Int J Numer Meth Eng 122(13):3171–3190MathSciNetCrossRef Chung IS, Kim JG, Chae SW, Park KC (2021) An iterative scheme of flexibility-based component mode synthesis with higher order residual modal compensation. Int J Numer Meth Eng 122(13):3171–3190MathSciNetCrossRef
16.
Zurück zum Zitat Park KC, Felippa CA, Ohayon R (2001) Partitioned formulation of internal fluid–structure interaction problems by localized Lagrange multipliers. Comput Methods Appl Mech Eng 190(24–25):2989–3007CrossRefMATH Park KC, Felippa CA, Ohayon R (2001) Partitioned formulation of internal fluid–structure interaction problems by localized Lagrange multipliers. Comput Methods Appl Mech Eng 190(24–25):2989–3007CrossRefMATH
17.
Zurück zum Zitat González JA, Park KC, Lee I, Felippa CA, Ohayon R (2012) Partitioned vibration analysis of internal fluid–structure interaction problems. Int J Numer Meth Eng 92(3):268–300MathSciNetCrossRefMATH González JA, Park KC, Lee I, Felippa CA, Ohayon R (2012) Partitioned vibration analysis of internal fluid–structure interaction problems. Int J Numer Meth Eng 92(3):268–300MathSciNetCrossRefMATH
18.
Zurück zum Zitat Akkaoui Q, Capiez-Lernout E, Soize C, Ohayon R (2019) Revisiting the experiment of a free-surface resonance of a liquid in a vibration tank using a nonlinear fluid–structure computational model. J Fluids Struct 85:149–164CrossRef Akkaoui Q, Capiez-Lernout E, Soize C, Ohayon R (2019) Revisiting the experiment of a free-surface resonance of a liquid in a vibration tank using a nonlinear fluid–structure computational model. J Fluids Struct 85:149–164CrossRef
19.
Zurück zum Zitat Kim SM, Kim JG, Chae SW, Park KC (2019) A strongly coupled model reduction of vibro-acoustic interaction. Comput Methods Appl Mech Eng 347:495–516MathSciNetCrossRefMATH Kim SM, Kim JG, Chae SW, Park KC (2019) A strongly coupled model reduction of vibro-acoustic interaction. Comput Methods Appl Mech Eng 347:495–516MathSciNetCrossRefMATH
20.
Zurück zum Zitat Kim SM, Chae SW, Kim JG (2020) Multiphysics model reduction of symmetric vibro-acoustic formulation with a priori error estimation criteria. Int J Numer Meth Eng 121(23):5381–5404MathSciNetCrossRef Kim SM, Chae SW, Kim JG (2020) Multiphysics model reduction of symmetric vibro-acoustic formulation with a priori error estimation criteria. Int J Numer Meth Eng 121(23):5381–5404MathSciNetCrossRef
21.
Zurück zum Zitat Kim SM, Kim JG, Chae SW, Park KC (2016) Evaluating mode selection methods for component mode synthesis. AIAA J 54(9):2852–2863CrossRef Kim SM, Kim JG, Chae SW, Park KC (2016) Evaluating mode selection methods for component mode synthesis. AIAA J 54(9):2852–2863CrossRef
22.
Zurück zum Zitat Kim SM, Kim JG, Park KC, Chae SW (2018) A component mode selection method based on a consistent perturbation expansion of interface displacement. Comput Methods Appl Mech Eng 330:578–597MathSciNetCrossRefMATH Kim SM, Kim JG, Park KC, Chae SW (2018) A component mode selection method based on a consistent perturbation expansion of interface displacement. Comput Methods Appl Mech Eng 330:578–597MathSciNetCrossRefMATH
23.
Zurück zum Zitat Wang X, Wang D, Liu B (2020) Efficient acoustic topology optimization using vibro-acoustic coupled craig-bampton mode synthesis. Acoust Austr 48(3):407–418CrossRef Wang X, Wang D, Liu B (2020) Efficient acoustic topology optimization using vibro-acoustic coupled craig-bampton mode synthesis. Acoust Austr 48(3):407–418CrossRef
24.
Zurück zum Zitat Takebayashi K, Aya T, Andow K, Yamaguchi T (2021) Modal loss factor approximation for up formulation FEM using modal strain and kinetic energy method. J Sound Vib 505:116069CrossRef Takebayashi K, Aya T, Andow K, Yamaguchi T (2021) Modal loss factor approximation for up formulation FEM using modal strain and kinetic energy method. J Sound Vib 505:116069CrossRef
25.
Zurück zum Zitat Fu Z, Xi Q, Li Y, Huang H, Rabczuk T (2020) Hybrid FEM–SBM solver for structural vibration induced underwater acoustic radiation in shallow marine environment. Comput Methods Appl Mech Eng 369:113236MathSciNetCrossRefMATH Fu Z, Xi Q, Li Y, Huang H, Rabczuk T (2020) Hybrid FEM–SBM solver for structural vibration induced underwater acoustic radiation in shallow marine environment. Comput Methods Appl Mech Eng 369:113236MathSciNetCrossRefMATH
26.
Zurück zum Zitat Baydoun SK, Voigt M, Jelich C, Marburg S (2020) A greedy reduced basis scheme for multifrequency solution of structural acoustic systems. Int J Numer Meth Eng 121:187–200MathSciNetCrossRef Baydoun SK, Voigt M, Jelich C, Marburg S (2020) A greedy reduced basis scheme for multifrequency solution of structural acoustic systems. Int J Numer Meth Eng 121:187–200MathSciNetCrossRef
27.
Zurück zum Zitat Soares D Jr, Godinho L (2012) An optimized BEM–FEM iterative coupling algorithm for acoustic–elastodynamic interaction analyses in the frequency domain. Comput Struct 106:68–80CrossRef Soares D Jr, Godinho L (2012) An optimized BEM–FEM iterative coupling algorithm for acoustic–elastodynamic interaction analyses in the frequency domain. Comput Struct 106:68–80CrossRef
28.
Zurück zum Zitat Zheng CJ, Zhang C, Bi CX, Gao HF, Du L, Chen HB (2017) Coupled FE–BE method for eigenvalue analysis of elastic structures submerged in an infinite fluid domain. Int J Numer Meth Eng 110:163–185MathSciNetCrossRefMATH Zheng CJ, Zhang C, Bi CX, Gao HF, Du L, Chen HB (2017) Coupled FE–BE method for eigenvalue analysis of elastic structures submerged in an infinite fluid domain. Int J Numer Meth Eng 110:163–185MathSciNetCrossRefMATH
29.
Zurück zum Zitat Sigrist J-F (2015) Fluid-structure interaction: an introduction to finite element coupling. Wiley, West SussexCrossRefMATH Sigrist J-F (2015) Fluid-structure interaction: an introduction to finite element coupling. Wiley, West SussexCrossRefMATH
30.
Zurück zum Zitat Veldman AEP, Gerrits J, Luppes R, Helder JA, Vreeburg JPB (2007) The numerical simulation of liquid sloshing on board spacecraft. J Comput Phys 224:82–99MathSciNetCrossRefMATH Veldman AEP, Gerrits J, Luppes R, Helder JA, Vreeburg JPB (2007) The numerical simulation of liquid sloshing on board spacecraft. J Comput Phys 224:82–99MathSciNetCrossRefMATH
31.
Zurück zum Zitat Wang X (2008) Fundamentals of fluid-solid interactions. Elsevier, AmsterdamMATH Wang X (2008) Fundamentals of fluid-solid interactions. Elsevier, AmsterdamMATH
32.
Zurück zum Zitat Faltinsen OM, Timokha AN (2009) Sloshing. Cambridge University Press, CambridgeMATH Faltinsen OM, Timokha AN (2009) Sloshing. Cambridge University Press, CambridgeMATH
33.
Zurück zum Zitat Eswaran M, Saha UK (2011) Sloshing of liquids in partially filled tanks—a review of experimental investigations. Ocean Syst Eng 1(2):131–155CrossRef Eswaran M, Saha UK (2011) Sloshing of liquids in partially filled tanks—a review of experimental investigations. Ocean Syst Eng 1(2):131–155CrossRef
34.
Zurück zum Zitat Ryzhakov PB, Rossi R, Idelsohn SR, Onate E (2010) A monolithic Lagrangian approach for fluid–structure interaction problems. Comput Mech 46(6):883–899MathSciNetCrossRefMATH Ryzhakov PB, Rossi R, Idelsohn SR, Onate E (2010) A monolithic Lagrangian approach for fluid–structure interaction problems. Comput Mech 46(6):883–899MathSciNetCrossRefMATH
35.
Zurück zum Zitat Pal NC, Bhattacharyya SK, Sinha PK (2003) Non-linear coupled slosh dynamics of liquid-filled laminated composite containers: a two dimensional finite element approach. J Sound Vib 261(4):729–749CrossRef Pal NC, Bhattacharyya SK, Sinha PK (2003) Non-linear coupled slosh dynamics of liquid-filled laminated composite containers: a two dimensional finite element approach. J Sound Vib 261(4):729–749CrossRef
36.
Zurück zum Zitat Felippa CA, Park KC, Farhat C (2001) Partitioned analysis of coupled mechanical systems. Comput Methods Appl Mech Eng 190(24–25):3247–3270CrossRefMATH Felippa CA, Park KC, Farhat C (2001) Partitioned analysis of coupled mechanical systems. Comput Methods Appl Mech Eng 190(24–25):3247–3270CrossRefMATH
37.
Zurück zum Zitat Kloss C, Goniva C, Hager A, Amberger S, Pirker S (2012) Models, algorithms and validation for opensource DEM and CFD–DEM. Prog Comput Fluid Dyn Int J 12(2–3):140–152MathSciNetCrossRef Kloss C, Goniva C, Hager A, Amberger S, Pirker S (2012) Models, algorithms and validation for opensource DEM and CFD–DEM. Prog Comput Fluid Dyn Int J 12(2–3):140–152MathSciNetCrossRef
38.
Zurück zum Zitat Schotté JS, Ohayon R (2013) Linearized formulation for fluid–structure interaction: application to the linear dynamic response of a pressurized elastic structure containing a fluid with a free surface. J Sound Vib 332(10):2396–2414CrossRef Schotté JS, Ohayon R (2013) Linearized formulation for fluid–structure interaction: application to the linear dynamic response of a pressurized elastic structure containing a fluid with a free surface. J Sound Vib 332(10):2396–2414CrossRef
Metadaten
Titel
Multiphysics mode synthesis of fluid–structure interaction with free surface
verfasst von
Kang-Heon Lee
Robel Weldebrhan Hagos
Seongmin Chang
Jin-Gyun Kim
Publikationsdatum
23.06.2022
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 4/2023
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-022-01676-9