Complex modal extraction for estimating wave parameters in one-dimensional media

Proceedings of the ASME Design Engineering Technical Conference

Volumn 5, Issue , 2010, Pages 997-1006

  Feeny, B F ^a  

^a Michigan State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEX MODAL; COMPLEX PLANES; COMPLEX WAVES; CONTINUOUS SPECTRUM; DISPERSIVE MEDIUM; DISPLACEMENT PROFILES; EULER BERNOULLI BEAMS; FREQUENCY DISTRIBUTIONS; GAUSSIANS; GROUP VELOCITIES; METHOD OF COMPLEX; MODAL COORDINATES; MODE SHAPES; MULTI-MODAL; ORTHOGONAL DECOMPOSITION; RANDOM NOISE; SAMPLING CONDITIONS; SIMULATION DATA; TRANSIENT WAVES; TRAVELING WAVE; WAVE COMPONENTS; WAVE FORMS; WAVE FREQUENCIES; WAVE NUMBERS; WAVE PARAMETERS; WAVE SPEED; WORKING RANGE;

DESIGN; LIGHT VELOCITY; VIBRATIONS (MECHANICAL);

ONE DIMENSIONAL;

EID: 80055010557     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC2010-28919     Document Type: Conference Paper

References (28)

1. Feeny, B. F., 2008. "A complex orthogonal decomposition for wave motion analysis". Journal of Sound and Vibration, 310(1-2), pp. 77-90.
2. Lumley, J. L., 1967. "The structure of inhomogeneous turbulent flow". In Atmospheric Turbulence and Radio Wave Propagation, A. M. Yaglom and V. I. Tatarski, eds. Nauka, Moscow, pp. 166-178.
3. Lumley, J. L., 1970. Stochastic Tools in Turbulence. Academic Press, New York.
4. Berkooz, G., Holmes, P., and Lumley, J. L., 1993. "The proper orthogonal decomposition in the analysis of turbulent flows". Annual Reviews of Fluid Mechanics, 25, pp. 539-575.
5. Liang, Y. C., Lee, H. P., Lim, S. P., Lin, W. Z., Lee, K. H., and Wu, C. G., 2002. "Proper orthogonal decomposition and its applications-part 1: Theory". Journal of Sound and Vibration, 252(3), pp. 527-544.
6. Chelidze, D., and Zhou, W., 2006. "Smooth orthogonal decomposition-based vibration mode identification". Journal of Sound and Vibration, 292, pp. 461-473.
7. Feeny, B. F., and Farooq, U., 2008. "A nonsymmetric statevariable decomposition for modal analysis". Journal of Sound and Vibration, 310(4-5), pp. 792-800.
8. Georgiou, I. T., and Papadopoulos, C. I., 2006. "Developing pod over the complex plane to form a data processing tool for finite element simulations of steady state structural dynamics". In International Mechanical Engineering Congress and Exposition, p. on DVD ROM.
9. Johnson, R. L., 1992. "An experimental investigation of three eigen df techniques". IEEE Transactions on Aerospace and Electronic Systems, 28(3), pp. 852-860.
10. Pierre, J. W., and Kaveh, M., 1995. "Experimental evaluation of high-resolution direction-finding algorithms using a calibrated sensor array testbed". Digintal Signal Processing, 5(4), pp. 243-254.
11. Kangas, A., Stoica, P., and Soderstrom, T., 1994. "Finitesample and modeling error effects on EsPRIT and MUSIC direction estimators". IEE Proceedings-Radar Sonar and Navigation, 141(5), pp. 249-255.
12. Rajan, and Bhatta, 1993. "Evaluation of MUSIC and ESPRIT algorithms". Journal of the Acoustical Society of America, 93(1), pp. 378-389.
13. Newland, D. E., 1993. An Introduction to Random Vibrations, Spectral and Wavelet Analysis, 3rd ed. Longman Scientific and Technical, Singapore.
14. Mallat, S. G., 1989. "A theory for multiresolution signal decomposition-the wavelet representation". IEEE Transactions on Pattern Analysis and Machine Intelligence, 11(7), pp. 674-693.
15. Lamarque, C. H., Pernot, S., and Cuer, A., 2000. "Damping identification in multi-degree-of-freedom systems via a wavelet-logarithmic decrement - part 1: Theory". Journal of Sound and Vibration, 235(3), pp. 361-374.
16. Argoul, P., and Le, T. P., 2003. "Instantaneous indicators of structural behaviour based on the continuous cauchy wavelet analysis". Mechanical Systems and Signal Processing, 17(1), pp. 243-250.
17. Coca, D., and Billings, S. A., 1997. "Continuous-time system identification for linear and nonlinear systems using wavelet decompositions". International Journal of Bifurcation and Chaos, 7(1), pp. 87-96.
18. Ip, K. H., Tse, P. W., and Tam, H. Y., 2004. "Extraction of patch-induced Lamb waves using a wavelet transform". Smart Materials and Structures, 13(4), pp. 861-872.
19. di Scalea, F. L., and McNamara, J., 2004. "Wavelet transform for characterizing longitudinal and lateral transient vibrations of railroad tracks". Research in Nondestructive Evaluation, 15(2), pp. 87-98.
20. Roueff, A., Chanussot, J., Mars, J. I., and Nguyen, M. Q., 2004. "Unsupervised separation of seismic waves using the watershed algorithm on time-scale images". Geophysical Prospecting, 52(4), pp. 287-300.
21. Lee, H. S., and Kwon, S. H., 2003. "Wave profile measurement by wavelet transform". Ocean Engineering, 30(18), pp. 2313-2328.
22. Huang, M. C., 2004. "Wave parameters and functions in wavelet analysis". Ocean Engineering, 31((1)), pp. 111-125.
23. Onsay, T., and Haddow, A. G., 1994. "Wavelet transform analysis of transient wave-propagation in a dispersive medium". Journal of the Acoustical Society of America, 95(3), pp. 1441-1449.
24. Oppenheim, A. V., and Schafer, R.W., 1989. Discrete-Time Signal Processing. Prentice Hall, Englewood Cliffs, NJ.
25. Mortensen, R. E., 1987. Random Signals and Systems. Wiley, New York.
26. Meirovitch, L., 1997. Principles and Techniques in Vibrations. Prentice Hall.
27. Feeny, B., and Kappagantu, R., 1998. "On the physical interpretation of proper orthogonal modes in vibrations". Journal of Sound and Vibration, 211(4), pp. 607-616.
28. Graff, K. F., 1975. Wave Motion in Elastic Solids. Ohio State University Press, printed at the Universities Press, Belfast.