DOI QR코드

DOI QR Code

Mode localization and frequency loci veering in an aircraft with external stores

  • Liu, J.K. (Department of Mechanics, Zhongshan University) ;
  • Chan, H.C. (Department of Civil Engineering, The University of Hong Kong)
  • Published : 1999.08.25

Abstract

This paper presents an investigation of the mode localization and frequency loci veering phenomena in an aircraft with disordered external stores. Two theoretical analyses are carried out to study the occurring mechanism of the two phenomena: condensation technique in the subspace spanned by modes of interest and geometric mapping theory in the complex plane. Two simple criteria for predicting the occurrence of the mode localization and frequency loci veering are put forward. The prediction of the phenomena by our theoretically proposed criteria is in good agreement with that obtained through numerical calculations of characteristic solutions of the disordered system.

Keywords

References

  1. Anderson, P.W. (1958), "Absence of diffusion in certain random lattices", Physical Review, 29, 1492- 1505.
  2. Bendiksen, O.O. (1987), "Mode localization phenomena in large space structures", AIAA Journal, 25(9), 1241-1248. https://doi.org/10.2514/3.9773
  3. Bouzit, D. and Pierre, C. (1992), "Vibration confinement phenomena in disordered, mono-coupled, multi-span beams", Journal of Sound and Vibration, 114(4), 521-530.
  4. Bouzit, D. and Pierre, C. (1995a), "Localization of vibration in disordered multi-span beams with damping", Journal of Sound and Vibration, 187(4), 625-648. https://doi.org/10.1006/jsvi.1995.0549
  5. Bouzit, D. and Pierre, C. (1995b), "An experimental investigation of vibration localization in disordered multi-span beams", Journal of Sound and Vibration, 187(4), 649-669. https://doi.org/10.1006/jsvi.1995.0550
  6. Cai, G.Q. and Lin, Y.K. (1991), "Localization of wave propagation in disordered periodic structures", AIAA Journal, 29(3), 450-456. https://doi.org/10.2514/3.10599
  7. Cai, C.W., Cheung, Y.K. and Chan, H.C. (1995), "Mode localization phenomena in nearly periodic systems", Journal of Applied Mechanics, Transactions of the ASME, 62(1), 141-149. https://doi.org/10.1115/1.2895895
  8. Chen, P.T. and Ginsberg, J.H. (1992), "On the relationship between veering of eigenvalue loci and parameter sensitivity of eigenfunctions", Journal of Vibration and Acoustics, Transactions of the ASME, 114, 141-148. https://doi.org/10.1115/1.2930242
  9. Chen, J.Y., Liu, J.K. and Zhao, L.C. (1995), "An improved perturbation method for free vibration analysis", Journal of Sound and Vibration, 180(3), 519-523. https://doi.org/10.1006/jsvi.1995.0094
  10. Ginsberg, J.H. and Pham, H. (1995), "Forced harmonic response of a continuous system displaying eigenvalue veering phenomena", Journal of Vibration and Acoustics, Transactions of the ASME, 117, 439-444. https://doi.org/10.1115/1.2874476
  11. Happawana, G.S., Bajaj, A.K. and Nwokah, O.D.I. (1993), "A singular perturbation analysis of eigenvalue veering and modal sensitivity in perturbed linear periodic systems", Journal of Sound and Vibration, 160(2), 225-242. https://doi.org/10.1006/jsvi.1993.1019
  12. Hodges, C.H. (1982), "Confinement of vibration by structural irregularity", Journal of Sound and Vibration, 82(3), 411-424. https://doi.org/10.1016/S0022-460X(82)80022-9
  13. Hodges, C.H. and Woodhouse, J. (1983), "Vibrations isolation from irregularity in a nearly periodic structure: theory and measurements", Journal of the Acoustical Society of America, 74(3), 894-905. https://doi.org/10.1121/1.389847
  14. Kissel, G.J. (1988), "Localization in disordered periodic structures", Ph.D. Dissertation, Massachusetts Institute of Technology.
  15. Kuttler, J.R. and Sigillito, V.G. (1981), "On curve veering", Journal of Sound and Vibration, 75, 585- 588 https://doi.org/10.1016/0022-460X(81)90448-X
  16. Leissa, A.W. (1974), "On a curve veering aberration", Journal of Applied Mathematics and Physics (ZAMP), 25, 99-112. https://doi.org/10.1007/BF01602113
  17. Levine-West, M.B. and Salama, M.A. (1992), "Mode localization experiments on a ribbed antenna", Proceedings of the 33rd AIAA/ASME/ASCE/AHS/ASE Structures, Structural Dynamics, and Materials Conference, Dallas, Texas, 2038-2047.
  18. Liu, J.K. (1993), "Theoretical study of asymmetric wing/store flutter", Ph.D. Thesis (in Chinese), Northwestern Polytechnical University, Xi'an, China.
  19. Liu, J.K. and Zhao, L.C. (1994), "Mode localization and eigenvalue loci veering phenomena in disordered aircraft structures", Proceedings of the 12ed International Modal Analysis Conference, Hawaii, USA.
  20. Lust, S.D., Friedmann, P.P. and Bendiksen, O.O. (1990), "Mode localization in multi-span beams", Proceedings of the 31st AIAA Dynamics Conference, Long Beach, California.
  21. Mott, N. and Davis, E. (1971), Electronic Processes in Non-crystalline Materials, Oxford, Clarendon Press.
  22. Natsiavas, S. (1993), "Mode localization and frequency veering in a non-conservative mechanical system with dissimilar components", Journal of Sound and Vibration, 165(1), 137-147. https://doi.org/10.1006/jsvi.1993.1247
  23. Perkins, N.C. and Mote, C.D., Jr. (1986), "Comments on curve veering in eigenvalue problems", Journal of Sound and Vibration, 106(3), 451-463. https://doi.org/10.1016/0022-460X(86)90191-4
  24. Pierre, C., Tang, D.M. and Dowell, E.H. (1987), "Localized vibrations of disordered multi-span beams: Theory and experiment", AIAA Journal, 25(9), 1249-1257. https://doi.org/10.2514/3.9774
  25. Pierre, C. and Dowell, E.H. (1987), "Localization of vibration by structural irregularity", Journal of Sound and Vibration, 114(3), 549-564. https://doi.org/10.1016/S0022-460X(87)80023-8
  26. Pierre, C. (1988), "Mode localization and eigenvalue loci veering phenomena in disordered structures", Journal of Sound and Vibration, 126(3), 485-502. https://doi.org/10.1016/0022-460X(88)90226-X
  27. Pierre, C. and Cha, P.D. (1989), "Strong mode localization in nearly periodic disordered structures", AIAA Journal, 27(2), 227-241. https://doi.org/10.2514/3.10085
  28. Rosenstock, H.B. and McGill, R.E. (1968), "Vibrations of disordered solids", Physical Reviews, 176, 1004-1014. https://doi.org/10.1103/PhysRev.176.1004
  29. Triantafyllou, M.S. and Triantafyllou G.S. (1991), "Frequency coalescence and mode localization phenomena: a geometric theory", Journal of Sound and Vibration, 150(3), 485-500. https://doi.org/10.1016/0022-460X(91)90899-U
  30. Valero, N.A. and Bendikson, O.O. (1986), "Vibration characteristics of mistuned shouded blade assemblies", ASME Journal of Engineering for Gas Turbines and Power, 108(2), 293-299. https://doi.org/10.1115/1.3239902

Cited by

  1. Mode localization and veering of natural frequency loci in two circular plates coupled with a fluid vol.22, pp.6, 2006, https://doi.org/10.12989/sem.2006.22.6.719