The Refinement of FRFs curve fitting and modal analysis

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (2) : 69-75.

DONG Lei1，SONG Han-wen2，ZHENG Tie-sheng1

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Abstract

Modal analysis and parameter identification are key technologies for structural dynamics. While the range of its applications is continuously expanding, the higher analysis challenges are increasing as well. A best model order is defined on the consideration of the existence of the noise modals in orthogonal polynomial algorithm, which is most widely used in modal analysis. Unfortunately, the minimum error could not be well satisfied simultaneously. Demand for dividing the frequency range into several sub-bands is due to numerical instabilities and calculation problem with the increase of the model order. The VF algorithm decomposed the rational function by using a common set of partial fractions as basis functions. The acquisition order of the modal is based on the modal energy, which ensures the fast convergence of VF algorithm. Stabilities both on parameters of the partial fractions and numerical are acquired with the increase of the model order. In this paper, a brief review of VF is presented and the feasibility of VF in modal analysis is demonstrated. The refinement of the FRFs curve fitting is achieved by a detailed description on deviation analysis stability of the parameters and order selection. An aerospace case study is discussed and compared with another algorithm.

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modal analysis / parameter identification / FRFs / curve fitting / refinement

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DONG Lei1，SONG Han-wen2，ZHENG Tie-sheng1. The Refinement of FRFs curve fitting and modal analysis[J]. Journal of Vibration and Shock, 2016, 35(2): 69-75

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