On reduced order modeling of flexible structures from frequency response data
Date
2014
Authors
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Source Title
Proceedings of the European Control Conference, IEEE 2014
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Publisher
IEEE
Volume
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Pages
1133 - 1138
Language
English
Type
Conference Paper
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Abstract
In order to identify the dominant flexible modes of a flexible structure with an input/output delay, a numerical method is proposed. The method uses a frequency domain approach (frequency response data) to estimate the resonating frequencies and damping coefficients of the flexible modes, as well as the amount of the time delay. A sequential NLLS (Non-Linear Least Squares) curve fitting procedure is adopted. It is illustrated that such a Newtonian optimization method has the capability of finding the parameters of a reduced order transfer function by minimizing a cost function involving nonlinearities such as exponential and fractional terms.
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Keywords
Curve fitting, Flexible structures, Frequency domain analysis, Frequency response, Numerical methods, Damping coefficients, Fitting procedure, Flexible mode, Frequency domain approaches, Non-linear least squares, Optimization method, Reduced order models, Resonating frequency, Data reduction