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Identification of dynamical systems with fractional derivative damping models using inverse sensitivity analysis

Sivaprasad, R and Venkatesha, S and Manohar, CS (2009) Identification of dynamical systems with fractional derivative damping models using inverse sensitivity analysis. In: Computers, Materials & Continua (CMC), 9 (3). pp. 179-207.

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Official URL: http://www.techscience.com/paper.asp?jnl=cmc&issue...

Abstract

The problem of identifying parameters of time invariant linear dynamical systems with fractional derivative damping models, based on a spatially incomplete set of measured frequency response functions and experimentally determined eigensolutions, is considered. Methods based on inverse sensitivity analysis of damped eigensolutions and frequency response functions are developed. It is shown that the eigensensitivity method requires the development of derivatives of solutions of an asymmetric generalized eigenvalue problem. Both the first and second order inverse sensitivity analyses are considered. The study demonstrates the successful performance of the identification algorithms developed based on synthetic data on one, two and a 33 degrees of freedom vibrating systems with fractional dampers. Limited studies have also been conducted by combining finite element modeling with experimental data on accelerances measured in laboratory conditions on a system consisting of two steel beams rigidly joined together by a rubber hose. The method based on sensitivity of frequency response functions is shown to be more efficient than the eigensensitivity based method in identifying system parameters, especially for large scale systems.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Tech Science Press.
Keywords: Fractional derivative models;inverse sensitivity analysis; eigenderivatives of asymmetric matrices;system identification
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 12 Aug 2009 11:23
Last Modified: 19 Sep 2010 05:35
URI: http://eprints.iisc.ernet.in/id/eprint/21009

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