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Evaluation of On-Line Algebraic Modal Parameter Identification Methods

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TL;DRAbstract

This paper describes the application of a novel time domain and on-line algebraic modal parameter identification methodology based on differential algebra, module theory and Mikusiński operational calculus for mechanical structures with multiple degrees-of-freedom. The natural frequencies and damping ratios associated to a mechanical system are estimated in an on-line fashion from transient state real-time measurements (e.g., displacements or accelerations). The proposed identification methodology can be also extended for modal parameter identification using experimental frequency response functions. A comparison with usual modal identification techniques is performed in order to evaluate and establish the main contributions of the proposed approach. Some numerical and experimental results are included to show the efficient and robust performance and fast parametric estimation of the proposed algebraic identification approach.

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This paper describes the application of a novel time domain and on-line algebraic modal parameter identification methodology based on differential algebra, module theory and Mikusiński operational calculus for mechanical structures with multiple degrees-of-freedom. The natural frequencies and damping ratios associated to a mechanical system are estimated in an on-line fashion from transient state real-time measurements (e.g., displacements or accelerations). The proposed identification methodology can be also extended for modal parameter identification using experimental frequency response functions. A comparison with usual modal identification techniques is performed in order to evaluate and establish the main contributions of the proposed approach. Some numerical and experimental results are included to show the efficient and robust performance and fast parametric estimation of the proposed algebraic identification approach.

Keywords

ModalIdentification (biology)Parametric statisticsAlgebraic numberModal testingModal analysisSystem identificationTime domain

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