Inertia property determination by spectrum analysis of damped oscillation detection signal

Autor: Lieshan Zhang, Meibao Wang, Pu Liu
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: IET Science, Measurement & Technology, Vol 15, Iss 2, Pp 109-119 (2021)
Druh dokumentu: article
ISSN: 1751-8830
1751-8822
DOI: 10.1049/smt2.12008
Popis: Abstract Oscillation method is the most effective approach to determine the inertia properties of rigid bodies. This paper proposes a new signal processing method to determine the moment of inertia (MoI) accurately in the presence of high frictional damping when using a torsion pendulum setup. A mathematical model of damped oscillation is established, and the analytic form of Fourier transformation of the damped torsional oscillation is derived. A formula for calculating the MoI in relation to the dominant frequency and damping ratio is also derived. An algorithm regarding periodic extension and normalization of torsional oscillation signal is proposed to calculate the dominant frequency and damping ratio of torsional oscillation in the frequency domain. The feasibility and accuracy of this algorithm are verified by both numerical simulations and measurement experiments. The experimental results show that the proposed method has good measurement repeatability, and the relative error of measurement is within 0.80%.
Databáze: Directory of Open Access Journals
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