Inertia property determination by spectrum analysis of damped oscillation detection signal
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...
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| Published in | IET science, measurement & technology Vol. 15; no. 2; pp. 109 - 119 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Wiley
01.03.2021
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| Online Access | Get full text |
| ISSN | 1751-8822 1751-8830 1751-8830 |
| DOI | 10.1049/smt2.12008 |
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| 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%. |
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| AbstractList | 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%. 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%. |
| Author | Wang, Meibao Zhang, Lieshan Liu, Pu |
| Author_xml | – sequence: 1 givenname: Lieshan surname: Zhang fullname: Zhang, Lieshan email: zhanglieshan@163.com organization: Zhejiang Sci‐Tech University – sequence: 2 givenname: Meibao surname: Wang fullname: Wang, Meibao organization: Zhejiang Sci‐Tech University – sequence: 3 givenname: Pu surname: Liu fullname: Liu, Pu organization: Zhejiang Sci‐Tech University |
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| Cites_doi | 10.1016/j.mechatronics.2018.02.013 10.1088/1742-6596/154/1/012019 10.1016/j.mechmachtheory.2013.12.008 10.1063/1.3036984 10.1016/j.asr.2016.07.020 10.1016/j.cja.2018.03.004 10.1049/iet-gtd.2017.1520 10.1017/aer.2017.105 10.3390/app8010104 10.1109/TSP.2013.2288675 10.1049/iet-rpg.2016.0782 10.3390/app8010044 10.1049/iet-cta.2019.0245 10.1007/978-3-319-15233-2_10 10.1049/el.2016.1660 10.1002/rnc.2952 10.4028/www.scientific.net/AMM.110-116.4712 10.1119/1.5098929 10.1016/j.ymssp.2010.09.004 10.1007/s00202-016-0397-y 10.1016/j.ymssp.2009.06.008 10.1016/j.ymssp.2019.05.021 10.3901/JME.2012.20.022 10.1515/msr-2017-0002 10.1007/s00158-019-02322-7 10.1016/j.asoc.2018.11.021 10.1016/j.measurement.2015.10.017 10.1007/s12206-010-0521-2 10.1098/rspa.1998.0193 10.1049/iet-gtd.2018.6814 10.13031/aea.32.11041 10.1016/j.ymssp.2018.11.011 |
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| Snippet | Oscillation method is the most effective approach to determine the inertia properties of rigid bodies. This paper proposes a new signal processing method to... Abstract Oscillation method is the most effective approach to determine the inertia properties of rigid bodies. This paper proposes a new signal processing... |
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| Title | Inertia property determination by spectrum analysis of damped oscillation detection signal |
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