The image source method for calculating the vibrations of simply supported convex polygonal plates

Journal of Sound and Vibration

Volumn 322, Issue 4-5, 2009, Pages 1048-1069

  Cuenca, J ^a   Gautier, F ^a   Simon, L ^a  

^a UNIVERSITÉ DU MAINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; GEOMETRY; PLATES (STRUCTURAL COMPONENTS); WAVE PROPAGATION;

DIFFERENT GEOMETRY; EQUILATERAL TRIANGLES; IMAGE-SOURCE METHOD; MEDIUM AND HIGH FREQUENCIES; REFERENCE SOLUTION; SIMPLY SUPPORTED; STRUCTURAL DAMPING; VIBRATIONAL ENERGIES;

VIBRATION ANALYSIS;

EID: 63549111052     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2008.11.018     Document Type: Article

References (25)

1. Lyon R.H., and Dejong R.G. Theory and Application of Statistical Energy Analysis (1995), Butterworth-Heinemann, Boston
2. Mace B.R., Duhamel D., Brennan M.J., and Hinke L. Finite element prediction of wave motion in structural waveguides. Journal of the Acoustical Society of America 117 5 (2005) 2835-2843
3. Le Bot A. A vibroacoustic model for high frequency analysis. Journal of Sound and Vibration 211 4 (1998) 537-554
4. Cotoni V., Shorter P., and Langley R. Numerical and experimental validation of a hybrid finite element-statistical energy analysis method. Journal of the Acoustical Society of America 122 1 (2007) 259-270
5. Chae K.-S., and Ih J.-G. Prediction of vibrational energy distribution in the thin plate at high-frequency bands by using the ray tracing method. Journal of Sound and Vibration 240 2 (2001) 263-292
6. Ladevèze P. The variational theory of complex rays for the calculation of medium-frequency vibrations. Engineering with Computers 18 (1999) 193-214
7. Rouch P., and Ladevèze P. The variational theory of complex rays: a predictive tool for medium frequency vibrations. Computer Methods in Applied Mechanics and Engineering 192 (2003) 3301-3315
8. Allen J.B., and Berkley D.A. Image method for efficiently simulating small-room acoustics. Journal of the Acoustical Society of America 65 4 (1979) 943-950
9. Borish J. Extension of the image model to arbitrary polyhedra. Journal of the Acoustical Society of America 75 6 (1984) 1827-1836
10. Cremer L., and Müller H.A. Principles and Applications of Room Acoustics (1982), Applied Science, London
11. Kuttruff H. Room Acoustics (1973), Applied Science, London
12. Mechel F.P. Improved mirror source method in room acoustics. Journal of Sound and Vibration 256 6 (2002) 873-940
13. Graff K.F. Wave Motion in Elastic Solids (1975), Oxford University Press, Oxford
14. Gorman D.J. Vibration Analysis of Plates by the Superposition Method (1999), World Scientific, Singapore
15. Brunskog J. Image solution for clamped finite beams. Journal of Sound and Vibration 287 4-5 (2005) 1057-1064
16. Gunda R., Vijayakar S.M., and Singh R. Method of images for the harmonic response of beams and rectangular plates. Journal of Sound and Vibration 185 2 (1995) 791-808
17. Huang Z.Y., and Jiang W.K. An effective method calculating acoustic Green's function for closed rectangular cavity using the Ewald's summation technique. Acta Acustica united with Acustica 93 (2007) 853-856
18. Hayir A., and Bakirtas I. A note on a plate having a circular cavity excited by plane harmonic SH waves. Journal of Sound and Vibration 271 (2004) 241-255
19. Hu C., Fang X.-Q., and Huang W.-H. Multiple scattering of flexural waves in a semi-infinite thin plate with a cutout. International Journal of Solids and Structures 44 (2007) 436-446
20. Morse P.M., and Feshbach H. Methods of Theoretical Physics (1953), McGraw-Hill, New York
21. Szilard R. Theories and Applications of Plate Analysis: Classical, Numerical and Engineering Methods (2004), Wiley, New York
22. Rabbiolo G., Bernhard R.J., and Milner F.A. Definition of a high-frequency threshold for plates and acoustical spaces. Journal of Sound and Vibration 277 (2004) 647-667
23. Schroeder M.R. Statistical parameters of the frequency response curves of large rooms. Journal of the Audio Engineering Society 35 (1987) 299-306
24. Skudrzyk E. The mean-value method of predicting the dynamic response of complex vibrators. Journal of the Acoustical Society of America 67 4 (1980) 1105-1135
25. Arruda J.R.F., Gautier F., and Donadon L.V. Computing reflection and transmission coefficients for plate reinforcement beams. Journal of Sound and Vibration 307 (2007) 564-577