Data Dependent Systems Approach to Modal Analysis Via State Space

[+] Author and Article Information
S. M. Pandit, N. P. Mehta

Mechanical Engineering—Engineering Mechanics Department, Michigan Technological University, Houghton, Mich. 49931

J. Dyn. Sys., Meas., Control 107(2), 132-138 (Jun 01, 1985) (7 pages) doi:10.1115/1.3149684 History: Received March 01, 1984; Online July 21, 2009


The application of the Data Dependent Systems (DDS) methodology is proposed for the modal identification and characterization. Difference equation models derived from sampled free and forced response information are shown to quantitatively define the dynamic properties of the system. A modal decomposition of the DDS models, based on modern linear system theory in the state space format and analysed from the standpoint of theoretical modal analysis, yields the system eigenvalues and eigenvectors, and the parameters of a lumped structural model. The theoretical background is presented in detail; its validity is established by means of a simulation study. Advantages of the DDS approach are discussed. Although the simulation study, and to some extent the terminology, are based on mechanical systems, the method has applications in wider fields, e.g., electromagnetic radiation and scattering.

Copyright © 1985 by ASME
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