Modal Parameter Identification In The Time Domain From A Random Excitation Force

A time domain algorithm for calculating frequencies, damping ratios and modal shape information of a discrete dynamic system is presented. Input and output samples of the system's dynamic excitation and response signals are used to determine the parameters. The algorithm is based on Prony's solution to the complex exponential interpolation of the system's unit impulse response function. The problem of determining resonant frequencies of a steel beam is presented to illustrate a practical application of the algorithm. © 1990.45393404Dunn, Modal analysis of transient response data using a complex exponential algorithm (1977) NEL Report No. 641Kurka, Cowley, Modal parameter identification from the time response of complex dynamic systems (1988) Mechanical Systems and Signal Processing, 2, pp. 49-58Prony, Essai expérimental et analytique sur les lois de la dilatabilité des fluides élastiques et sur celles de la force expansive de la vapeur de l'eau et der la vapeur de l'alkool, a différentes températures (1795) Journal de l'Ecole Polytechnique, Paris 1, (2), pp. 24-76Spitznogle, Quazi, Representation and analysis of time limited signals using a complex exponential algorithm (1970) The Journal of the Acoustical Society of America, 47, pp. 1150-1155Braun, (1986) Mechanical Signature Analysis, , Academic Press, LondonKay, Marple, Jr., Spectrum analysis—a modern perspective (1981) Proceedings of the IEEE, 69, pp. 1380-1419Lorenz, DFT theory and FFT techniques (1987) Union College Modal Analysis Short Course, , April 1–3 at the Imperial College of Science and TechnologyKurka, Investigation of dynamic identification techniques and their application (1989) PhD Thesis, , University of Manchester Institute of Science and TechnologyVan Brussel, Modal analysis (1981) Modal Analysis Seminar, , Department of Mechanical Engineering, University of Leuve