A Nonparametric Identification Technique for a Variety of Discrete Nonlinear Vibrating Systems

[+] Author and Article Information
Yongxin Yang

Beijing Institute of Strength and Environment Engineering, Beijing, PRC; Dept. of Mechanical Engineering and Mechanics, Old Dominion University, Norfolk, VA

S. R. Ibrahim

Dept. of Mechanical Engineering and Mechanics, Old Dominion University, Norfolk, VA

J. Vib., Acoust., Stress, and Reliab 107(1), 60-66 (Jan 01, 1985) (7 pages) doi:10.1115/1.3274717 History: Received February 21, 1984; Online December 08, 2009


A relatively simple nonparametric identification technique based on the use of power series expansions for the identification of nonlinearities of a variety of discrete nonlinear vibrating systems has been developed. The input data required can be either forced or free response of the accelerations, velocities, and displacements. The individual masses of the system can also be estimated while knowing their sum and using free response data. Two examples are given to demonstrate the accuracy of the technique under noisy measurements. The method is shown to be more simple and yet versatile than other presently known techniques in this area.

Copyright © 1985 by ASME
Topics: Measurement
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