Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received Feb. 1999; revised Aug. 2001. Associate Editor: A. F. Vakakis.
Proper orthogonal decomposition (POD) is a useful experimental tool in dynamics and vibration. A common application of POD to structures involves sensed displacements, at M locations on the structure. When the displacements are sampled N times at a fixed sampling rate, we can form displacement-history arrays, such that for The mean values are often subtracted from the displacement histories. These displacement histories are used to form an
Period-Infinity Periodic Motions, Chaos, and Spatial Coherence in a 10 Degree of Freedom Impact Oscillator,”
Chaos, Solitons Fractals,
Davies, M. A., and Moon, F. C., 1997, “Solitons, Chaos, and Modal Interactions in Periodic Structures,” Nonlinear Dynamics: The Richard Rand 50th Anniversary Volume, A. Guran, ed., World Scientific, Singapore, pp. 119–143.
Modal Analysis of Long Torsional Strings Through Proper Orthogonal Decomposition,”
Zeitschrift fu¨r angewandte Mathematik und Mechanik,
77, S1, pp.
On the Physical Interpretation of Proper Orthogonal Modes in Vibrations,”
J. Sound Vib.,
Forsythe, G. E., Malcolm, M. A., and Moler, C. B., 1977, Computer Methods for Mathematical Computations, Prentice Hall, Englewood Cliffs.
Feeny, B. F., and Liang, Y., 2001, “Interpreting Proper Orthogonal Modes of Randomly Excited Linear Vibration Systems,” submitted.
Ma, X., Azeez, M. A. F., and Vakakis, A. F., 1998, “Nonparametric Nonlinear System Identification of a Nonlinear Flexible System Using Proper Orthogonal Mode Decomposition,” Seventh Conference on Nonlinear Vibrations, Stability, and Dynamics of Structures, Blacksburg, VA.
Non-Linear Normal Modes, Invariance, and Modal Dynamics Approximations of Non-Linear Systems,”
Meirovitch, L., 1997, Principles and Techniques of Vibrations, Prentice Hall, Upper Saddle River.
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