Table of Contents Author Guidelines Submit a Manuscript
Shock and Vibration
Volume 2016, Article ID 2784380, 12 pages
http://dx.doi.org/10.1155/2016/2784380
Research Article

Reconstruction of Input Excitation Acting on Vibration Isolation System

1College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, China
2Advanced Engineering and Technologies, Canton, MI 48187, USA

Received 2 April 2016; Revised 31 July 2016; Accepted 10 August 2016

Academic Editor: Lei Zuo

Copyright © 2016 Pan Zhou et al. 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. P. M. Frank, “Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy: a survey and some new results,” Automatica, vol. 26, no. 3, pp. 459–474, 1990. View at Publisher · View at Google Scholar · View at Scopus
  2. J. Wang and H. Hu, “Vibration-based fault diagnosis of pump using fuzzy technique,” Measurement, vol. 39, no. 2, pp. 176–185, 2006. View at Publisher · View at Google Scholar · View at Scopus
  3. N. R. Sakthivel, V. Sugumaran, and S. Babudevasenapati, “Vibration based fault diagnosis of monoblock centrifugal pump using decision tree,” Expert Systems with Applications, vol. 37, no. 6, pp. 4040–4049, 2010. View at Publisher · View at Google Scholar · View at Scopus
  4. J. C. Snowdon, “Vibration isolation: use and characterization,” The Journal of the Acoustical Society of America, vol. 66, no. 5, pp. 1245–1274, 1979. View at Publisher · View at Google Scholar
  5. F. D. Bartlett Jr. and W. G. Flannelly, “Model verification of force determination for measuring vibratory loads,” Journal of the American Helicopter Society, vol. 24, no. 2, pp. 10–18, 1979. View at Publisher · View at Google Scholar · View at Scopus
  6. S. E. S. Karlsson, “Identification of external structural loads from measured harmonic responses,” Journal of Sound and Vibration, vol. 196, no. 1, pp. 59–74, 1996. View at Publisher · View at Google Scholar · View at Scopus
  7. S. Granger and L. Perotin, “An inverse method for the identification of a distributed random excitation acting on a vibrating structure part 1: theory,” Mechanical Systems & Signal Processing, vol. 13, no. 1, pp. 53–65, 1999. View at Publisher · View at Google Scholar · View at Scopus
  8. C. W. Groetsch, Inverse Problems in the Mathematical Sciences, Springer, 1993. View at Publisher · View at Google Scholar · View at MathSciNet
  9. P. A. Nelson and S.-H. Yoon, “Estimation of acoustic source strength by inverse methods: part I, conditioning of the inverse problem,” Journal of Sound and Vibration, vol. 233, no. 4, pp. 639–664, 2000. View at Publisher · View at Google Scholar · View at Scopus
  10. E. Jacquelin, A. Bennani, and P. Hamelin, “Force reconstruction: analysis and regularization of a deconvolution problem,” Journal of Sound and Vibration, vol. 265, no. 1, pp. 81–107, 2003. View at Publisher · View at Google Scholar · View at Scopus
  11. P. Schevenels, P. J. G. Van Der Linden, and G. Vermeir, “An inverse force measurement method to determine the injected structure-borne sound power from an installation into a building element,” Building Acoustics, vol. 17, no. 3, pp. 199–219, 2010. View at Publisher · View at Google Scholar · View at Scopus
  12. T. Uhl, “The inverse identification problem and its technical application,” Archive of Applied Mechanics, vol. 77, no. 5, pp. 325–337, 2007. View at Publisher · View at Google Scholar · View at Scopus
  13. M. H. A. Janssens, J. W. Verheij, and T. Loyau, “Experimental example of the pseudo-forces method used in characterisation of a structure-borne sound source,” Applied Acoustics, vol. 63, no. 1, pp. 9–34, 2002. View at Publisher · View at Google Scholar · View at Scopus
  14. H. Inoue, N. Ikeda, K. Kishimoto, T. Shibuya, and T. Koizumi, “Inverse analysis of the magnitude and direction of impact force,” JSME International Journal, Series A: Mechanics & Material Engineering, vol. 38, no. 1, pp. 84–91, 1995. View at Google Scholar · View at Scopus
  15. T. P. Nordberg and I. Gustafsson, “Using QR factorization and SVD to solve input estimation problems in structural dynamics,” Computer Methods in Applied Mechanics and Engineering, vol. 195, no. 44–47, pp. 5891–5908, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. A. N. Tikhonov, “Solution of incorrectly formulated problems and the regularization method,” Soviet Physics Doklady, vol. 4, pp. 1035–1038, 1963. View at Google Scholar
  17. T. S. Jang, H. Baek, S. L. Hana, and T. Kinoshita, “Indirect measurement of the impulsive load to a nonlinear system from dynamic responses: inverse problem formulation,” Mechanical Systems and Signal Processing, vol. 24, no. 6, pp. 1665–1681, 2010. View at Publisher · View at Google Scholar · View at Scopus
  18. P. C. Hansen, “Regularization tools: a Matlab package for analysis and solution of discrete ill-posed problems,” Numerical Algorithms, vol. 6, no. 1-2, pp. 1–35, 1994. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. C. Chang and C. T. Sun, “Determining transverse impact force on a composite laminate by signal deconvolution,” Experimental Mechanics, vol. 29, no. 4, pp. 414–419, 1989. View at Publisher · View at Google Scholar · View at Scopus
  20. C.-H. Huang, “A nonlinear inverse problem in estimating simultaneously the external forces for a vibration system with displacement-dependent parameters,” Journal of the Franklin Institute, vol. 342, no. 7, pp. 793–813, 2005. View at Publisher · View at Google Scholar · View at Scopus
  21. C.-H. Huang, “A generalized inverse force vibration problem for simultaneously estimating the time-dependent external forces,” Applied Mathematical Modelling, vol. 29, no. 11, pp. 1022–1039, 2005. View at Publisher · View at Google Scholar · View at Scopus
  22. C. C. Paige and M. A. Saunders, “LSQR: an algorithm for sparse linear equations and sparse least squares,” ACM Transactions on Mathematical Software, vol. 8, no. 1, pp. 43–71, 1982. View at Publisher · View at Google Scholar · View at MathSciNet
  23. W. L. Li and P. Lavrich, “Prediction of power flows through machine vibration isolators,” Journal of Sound and Vibration, vol. 224, no. 4, pp. 757–774, 1999. View at Publisher · View at Google Scholar · View at Scopus
  24. J. Pan, J. Pan, and C. H. Hansen, “Total power flow from a vibrating rigid body to a thin panel through multiple elastic mounts,” The Journal of the Acoustical Society of America, vol. 92, no. 2, pp. 895–907, 1992. View at Publisher · View at Google Scholar · View at Scopus