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Shock and Vibration
Volume 2014, Article ID 284367, 15 pages
http://dx.doi.org/10.1155/2014/284367
Research Article

Mobility Matrix of a Thin Circular Plate Carrying Concentrated Masses Based on Transverse Vibration Solution

State Key Laboratory of Engines, Tianjin University, Weijin Road 92, Tianjin 300072, China

Received 30 November 2013; Accepted 6 July 2014; Published 7 August 2014

Academic Editor: Kumar V. Singh

Copyright © 2014 Desheng Li and Junhong Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. F. Fahy, Foundations of Engineering Acoustics, Academic Press, Oxford, UK, 2000.
  2. F. Fahy and P. Gradonio, Sound and Structural Vibration: Radiation, Transmission and Response, Academic Press, Oxford, UK, 2nd edition, 2007.
  3. L. Cremer, M. Heckl, and E. E. Ungar, Structure-Borne Sound, Springer, Berlin, Germany, 2nd edition, 1988.
  4. E. Sarradj, “Calculation of point mobilities at generic multi-plate/beam junctions,” Journal of Sound and Vibration, vol. 229, no. 2, pp. 411–430, 2000. View at Publisher · View at Google Scholar · View at Scopus
  5. A. T. Moorhouse and B. M. Gibbs, “Calculation of the mean and maximum mobility for concrete floors,” Applied Acoustics, vol. 45, no. 3, pp. 221–245, 1995. View at Publisher · View at Google Scholar · View at Scopus
  6. H. A. Bonhoff and B. A. T. Petersson, “The influence of cross-order terms in interface mobilities for structure-borne sound source characterization: plate-like structures,” Journal of Sound and Vibration, vol. 311, no. 1-2, pp. 473–484, 2008. View at Publisher · View at Google Scholar · View at Scopus
  7. A. R. Mayr and B. M. Gibbs, “Point and transfer mobility of point-connected ribbed plates,” Journal of Sound and Vibration, vol. 330, no. 20, pp. 4798–4812, 2011. View at Publisher · View at Google Scholar · View at Scopus
  8. B. A. T. Petersson and M. Heckl, “Concentrated excitation of structures,” Journal of Sound and Vibration, vol. 196, no. 3, pp. 295–321, 1996. View at Publisher · View at Google Scholar · View at Scopus
  9. D. Sciulli, Dynamics and control for vibration isolation design [Ph.D. dissertation], Virginia Polytechnic Institute and State University, 1997.
  10. R. M. Grice and R. J. Pinnington, “Analysis of the flexural vibration of a thin-plate box using a combination of finite element analysis and analytical impedances,” Journal of Sound and Vibration, vol. 249, no. 3, pp. 499–527, 2002. View at Publisher · View at Google Scholar · View at Scopus
  11. A. Putra, Sound radiation from perforated plates [Ph.D. thesis], University of Southampton, Southampton, UK, 2008.
  12. B.-T. Wang, “Vibration analysis of a continuous system subject to generic forms of actuation forces and sensing devices,” Journal of Sound and Vibration, vol. 319, no. 3-5, pp. 1222–1251, 2009. View at Publisher · View at Google Scholar · View at Scopus
  13. Y. Yun and C. M. Mak, “Power transmission from two coherent machines to a dual-layer coupling floor structure,” Journal of Vibration and Control, vol. 17, no. 5, pp. 711–720, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. F. Zu and C. M. Mak, “Estimation of best mounting positions for vibratory equipment in buildings,” Journal of Vibration and Control, vol. 17, no. 2, pp. 301–310, 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. X. Huang, S. Xu, A. Jiang, and H. Hua, “Modeling and optimization of floating raft systems in submarines under different objectives by using hybrid genetic algorithm,” Journal of Vibration and Control, vol. 18, no. 2, pp. 268–297, 2012. View at Publisher · View at Google Scholar · View at Scopus
  16. R. Chen and T. Wu, “Vibration control of base system using distributed dynamic vibration absorbers,” Journal of Vibration and Control, 2013. View at Publisher · View at Google Scholar
  17. M. Shariyat and M. M. Alipour, “A power series solution for vibration and complex modal stress analyses of variable thickness viscoelastic two-directional FGM circular plates on elastic foundations,” Applied Mathematical Modelling, vol. 37, no. 5, pp. 3063–3076, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. E. P. Bowyer, D. J. O'Boy, V. V. Krylov, and F. Gautier, “Experimental investigation of damping flexural vibrations in plates containing tapered indentations of power-law profile,” Applied Acoustics, vol. 74, no. 4, pp. 553–560, 2013. View at Publisher · View at Google Scholar · View at Scopus
  19. H. G. D. Goyder and R. G. White, “Vibrational power flow from machines into built-up structures. Part I: introduction and approximate analyses of beam and plate-like foundations,” Journal of Sound and Vibration, vol. 68, no. 1, pp. 59–75, 1980. View at Publisher · View at Google Scholar · View at Scopus
  20. A. W. Leissa, Vibration of Plates, vol. 160 of NASA SP, National Aeronautics and Space Administration, 1969.
  21. D. V. Bambill, S. La Malfa, C. A. Rossit, and P. A. A. Laura, “Analytical and experimental investigation on transverse vibrations of solid, circular and annular plates carrying a concentrated mass at an arbitrary position with marine applications,” Ocean Engineering, vol. 31, no. 2, pp. 127–138, 2004. View at Publisher · View at Google Scholar · View at Scopus
  22. V. Ranjan and M. K. Ghosh, “Transverse vibration of thin solid and annular circular plate with attached discrete masses,” Journal of Sound and Vibration, vol. 292, no. 3–5, pp. 999–1003, 2006. View at Publisher · View at Google Scholar · View at Scopus
  23. S. Maiz, C. A. Rossit, D. V. Bambill, and A. Susca, “Transverse vibrations of a clamped elliptical plate carrying a concentrated mass at an arbitrary position,” Journal of Sound and Vibration, vol. 320, no. 4-5, pp. 1146–1163, 2009. View at Publisher · View at Google Scholar · View at Scopus