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Spectral Confonning Model and Its Application

Department of Mechanical Engineering, Louisiana State University, Baton Rouge, LA 70803, USAJshiml{at}1su.edu

Ym. Ram

Department of Mechanical Engineering, Louisiana State University, Baton Rouge, LA 70803, USA

It has been observed that finite elem-ent or finite difference models of order n can approximate with fair accuracy less than one-third of the eigenvalues of the underlying continuous system corresponding to the low spectrum. We present a new spectral conforming discrete model that estimates n the lowest eigenvalues of the continuous system with uniform accuracy. The building block of the model is the fundamental inverse eigenvalue problem of reconstructing the chain of a mass-spring system with a prescribed spectrum. We present applications of the model in vibration control of continuous systems by using small-order spectral conformning models, and spectrum estimation of non-uniform systems.

Key Words: Vibrating rod • continuous model • discrete model • frequency response function

Journal of Vibration and Control, Vol. 10, No. 6, 837-860 (2004)
DOI: 10.1177/1077546304040427


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