Three-dimensional viscous finite element formulation for acoustic fluid-structure interaction

Computer Methods in Applied Mechanics and Engineering

Volumn 197, Issue 49-50, 2008, Pages 4160-4172

  Cheng, Lei ^a   White, Robert D ^b   Grosh, Karl ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

^b Tufts University   (United States)

Author keywords

Acoustic fluid structure interaction; Finite element formulation; Viscous

Indexed keywords

ACOUSTIC TRANSDUCERS; ACOUSTICS; FLOW INTERACTIONS; FLUID DYNAMICS; FLUID MECHANICS; FLUID STRUCTURE INTERACTION; FLUIDS; LINEAR EQUATIONS; MATERIALS SCIENCE; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; PLATES (STRUCTURAL COMPONENTS); STRUCTURAL DYNAMICS; THICK FILMS; THREE DIMENSIONAL; TWO DIMENSIONAL;

ACOUSTIC FLUID-STRUCTURE INTERACTION; BENCHMARK SOLUTION; COMPUTATIONALLY EXPENSIVE; ELASTIC PROBLEMS; EXPERIMENTAL VALIDATIONS; FEM MODELING; FINITE ELEMENT; FINITE ELEMENT FORMULATION; FINITE ELEMENT MODEL; FLUID ELEMENTS; FLUID FIELDS; FLUID MEDIUM; INDEPENDENT VARIABLES; IRREGULAR GEOMETRIES; LAGRANGIAN; MATE RIAL PROPERTIES; MINDLIN PLATES; NEARLY INCOMPRESSIBLE; NUMERICAL MODELLING; PLATE ELEMENTS; THREE-DIMENSIONAL NUMERICAL MODELING; VISCOUS; WITH OR WITHOUT;

FINITE ELEMENT METHOD;

EID: 52749094760     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2008.04.016     Document Type: Article

References (26)

1. Bathe K.J. Formulation of the Finite Element Method - Linear Analysis in Solid and Structural Mechanics (1996), Prentice-Hall
2. Beltman W.M., Van der Hoogt P.J.M., Spiering R.M.E.J., and Tijdeman H. Implementation and experimental validation of a new viscothermal acoustic finite element for acousto-elastic problems. J. Sound Vib. 216 1 (1998) 159-185
3. Beyer R.B. A computational model of the cochlea using the immersed boundary method. J. Comput. Phys. 98 (1992) 145-162
4. Böhnke F., and Arnold W. 3D-finite element model of the human cochlea including fluid-structure couplings. ORL 61 (1999) 305-310
5. Bossart R., Joly N., and Bruneau M. Hybrid numerical and analytical solutions for acoustic boundary problems in thermo-viscous fluids. J. Sound Vib. 263 1 (2003) 69-84
6. Dallos P., Popper A., and Fay R. The Cochlea (1996), Springer-Verlag, New York
7. Everstine G.C. A symmetric potential formulation for fluid-structure interaction. J. Sound Vib. 79 1 (1981) 157-160
8. Figueroa C.A., Vignon-Clementel I.E., Jansen K.E., Hughes T.J.R., and Taylor C.A. A coupled momentum method for modeling blood flow in three-dimensional deformable arteries. Comput. Methods Appl. Mech. Engrg. 195 41-43 (2006) 5685-5706
9. Gan R.Z., Reeves B.P., and Wang X. Modeling of sound transmission from ear canal to cochlea. Ann. Biomed. Engrg. 35 12 (2007) 2180-2195
10. Givelberg E., and Bunn J. A comprehensive three-dimensional model of the cochlea. J. Comput. Phys. 191 (2003) 377-391
11. Hamdi M.A., Ousset Y., and Verchery G. A displacement method for analysis of vibrations of coupled fluid-structure systems. Int. J. Numer. Methods Engrg. 13 1 (1978) 139-150
12. Hinton E., and Huang H.C. A family of quadrilateral Mindlin plate elements with substitute shear strain fields. Comput. Struct. 23 3 (1986) 409-431
13. Holmes M.H., and Cole J.D. Cochlear mechanics: analysis for a pure tone. J. Acoust. Soc. Am. 76 (1984) 767-778
14. Hughes T.J.R. In the Finite Element Method (1987), Dover Publications, Inc. (Chapter 4)
15. Kiefling L., and Feng G.C. Fluid-structure finite-element vibrational analysis. AIAA J. 14 2 (1976) 199-203
16. K.M. Lim, Physical and Mathematical Cochlear Models, Ph.D. Thesis, Stanford University, 2000.
17. Lim K.M., and Steele C.R. A three-dimensional nonlinear active cochlear model analyzed by the WKB-numeric method. Hear. Res. 170 1-2 (2002) 190-205
18. Morand H., and Ohayon R. Substructure variational analysis of the vibrations of coupled fluid structure systems - finite-element results. Int. J. Numer. Methods Engrg. 14 5 (1979) 741-755
19. Olson L.G., and Bathe K.J. A study of displacement-based finite elements for calculating frequencies of fluid and fluid-structure systems. Nucl. Engrg. Des. 76 (1983) 137-151
20. Onate E., Zienkiewicz O.C., Suarez B., and Taylor R.L. A general methodology for deriving shear constrained Reissner-Mindlin plate elements. Int. J. Numer. Methods Engrg. 33 2 (1992) 345-367
21. Parthasarathi A.A., Grosh K., and Nuttall A.L. Three-dimensional numerical modeling for global cochlear dynamics. J. Acoust. Soc. Am. 107 (2000) 474-485
22. Steele C.R., and Taber L.A. Comparison of WKB calculations and experimental results for three-dimensional cochlear models. J. Acoust. Soc. Am. 65 (1979) 1007-1018
23. Wang X.D., and Bathe K.J. Displacement pressure based mixed finite element formulations for acoustic fluid-structure interaction problems. Int. J. Numer. Methods Engrg. 40 11 (1997) 2001-2017
24. Watts L. The mode-coupling Liouville-Green approximation for a two-dimensional cochlear model. J. Acoust. Soc. Am. 108 5 (2000) 2266-2271
25. White R.D., and Grosh K. Microengineered hydromechanical cochlear model. Proc. Natl. Acad. Sci. USA 102 5 (2005) 1296-1301
26. White R.D., Littrell R., and Grosh K. Copying the cochlea, micromachined biomimetic acoustic sensors. In: Chang F.-K. (Ed). Structural Health Monitoring 2007, Quantification, Validation and Implementation (2007), DesTECH Publications, Inc. 1447-1454 volume 2 edition