State space boundary element-finite element coupling for fluid-structure interaction analysis

Journal of the Acoustical Society of America

Volumn 98, Issue 1, 1995, Pages 363-372

  Giordano, Jeffery A ^a   Koopmann, Gary H ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; AIR; ARTICLE; LIQUID; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; SOUND;

EID: 0029001221     PISSN: 00014966     EISSN: NA     Source Type: Journal    
DOI: 10.1121/1.413691     Document Type: Article

References (28)

1. O.C. Zienkiewicz, D.W. Kelly, and P. Bettess, “The coupling of the finite element method and boundary solution procedures,” Int. J. Num. Methods Eng. 11, 355–375 (1977).
2. D.T. Wilton, “Acoustic radiation and scattering from elastic structures,” Int. J. Num. Methods Eng. 13, 123–138 (1978).
3. I.C. Mathews, “Numerical techniques for three-dimensional steady-state fluid-structure interaction,” J. Acoust. Soc. Am. 79, 1317–1235 (1986).
4. J.B. Mariem and M.A. Hamdi, “A new boundary finite element method for fluid-structure interaction problems,” Int. J. Num. Methods Eng. 24, 1251–1267 (1987).
5. R.A. Jeans and I.C. Mathews, “Solution of fluid-structure interaction problems using a coupled finite element and variational boundary element technique,” J. Acoust. Soc. Am. 88, 2459–2466 (1990).
6. H.A. Schenck and G.W. Benthien, “Numerical Solution of Acoustic-Structure Interaction Problems,” Naval Ocean Systems Center, NOSC TR, No. 1263 (April 1989).
7. H.A. Schenck and G.W. Benthien, “The application of a coupled finite-element boundary-element technique to large-scale structural acoustic problems,” Proceedings of Eleventh International Conference on Boundary Element Methods (Cambridge, MA, 1989), Vol. 2-Field and Fluid Flow Solutions, pp. 309–317.
8. G.W. Benthien, “Application of frequency interpolation to acoustic-structure interaction problems,” Naval Ocean Systems Center, NOSC TR, No. 1323 (November 1989)
9. M.M. Ettouney, R.P. Daddazio, and F.L. DiMaggio, “Wet modes of Submerged structures: Part 1-Theory,” Proceedings of Winter Annual Meeting of the American Society of Mechanical Engineers (Atlanta, GA, 1991), Vol. NCA-Vol. 12/AMD-Vol. 128, pp. 203–211.
10. R.A. Jeans and I.C. Mathews, “Use of Lanczos vectors in fluid/structure interaction problems,” J. Acoust. Soc. Am. 92, 3239–3248 (1992).
11. A.F. Seybert, T.W. Wu, and W.L. Li, “A coupled FEM/BEM for fluidstructure interaction using Ritz vectors and eigenvectors,” Proceedings of Winter Annual Meeting of the American Society of Mechanical Engineers (Atlanta, GA, 1991), Vol. NCA-Vol. 12/AMD-Vol. 128, pp. 171–178.
12. T.L. Geers, “Doubly asymptotic approximations for transient motion of submerged structures,” J. Acoust. Soc. Am. 64, 1500–1508 (1978).
13. T.L. Geers and C.A. Felippa, “Doubly asymptotic approximations for vibration analysis of submerged structures,” J. Acoust. Soc. Am. 73, 1152–1159 (1983).
14. A. Ergin, W.G. Price, R. Randall, and P. Temarel, “Dynamic Characteristics of a Submerged, Flexible Cylinder Vibrating in Finite Water Depths,” J. Ship Res., 36(2), 154–167 (1992).
15. S.M. Kirkup and S. Amini, “Modal analysis of acoustically-loaded structures via integral equation methods,” Comput. Struct. 40(5), 1279–1285 (1991).
16. L. Meirovitch, Analytical Methods in Vibrations, MacMillan Series in Applied Mechanics (MacMillan, New York, 1967).
17. L. Meirovitch, “Computational methods in structural dynamics,” Mechanics: Dynamical Systems (Sijthoff & Noordhoff, Rockville, MD, 1980).
18. M.C. Junger and D. Feit, Sound, Structures, and Their Interaction (MIT Cambridge, MA, 1986), 2nd ed.
19. X.F. Wu and A.D. Pierce, “Uniqueness of solutions to variationally formulated acoustic radiation problems,” Trans. ASME J. Vib. Acoust. 122(2), 263–267 (1990).
20. A.D. Pierce, “Variational Formulations in Acoustic Radiation and Scattering,” in Physical Acoustics: Underwater Scattering and Radiation, edited by Allan D. Pierce and R.N. Thurston (Academic, Boston, 1993), Vol. 22.
21. H.A. Schenck, “Improved integral formulation for acoustic radiation problems,” J. Acoust. Soc. Am. 44, 41–58 (1968).
22. A. J. Burton and G.F. Miller, “The application of integral equation methods to the numerical solution of some exterior boundary-value problems,” Proc. R. Soc. London Ser. A 323, 201–210 (1971).
23. L. Song, G.H. Koopmann, and J.B. Fahnline, “Active control of the acoustic radiation of a vibrating structure using a superposition formulation,” J. Acoust. Soc. Am. 89, 2786–2792 (1991).
24. C. Lanczos, The Variational Principles of Mechanics (Dover, New York, 1970), 4th ed.
25. J.H. Wilkinson, “The Algebraic Eigenvalue Problem,” Monographs on Numerical Analysis (Clarendon, Oxford, 1988).
26. J.A. Giordano, “State space coupling of acoustic (boundary element) and structural (finite element) models for fluid-structure interaction analysis,” Ph.D. thesis, The Pennsylvania State University (1993).
27. N.S. Lomas and S.I. Hayek, “Vibration and acoustic radiation of elastically supported rectangular plates,” J. Sound Vib. 52(1), 1–25 (1977).
28. R.J. Guyan, “Reduction of stiffness and mass matrices,” Am. Inst. Aeronaut. Astronaut. J. 3(2), 380 (1965).