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A Comparison of the Improved and Classic Half-Power Bandwidth Methods in Estimating Damping for Multi-DOF Systems

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Abstract

Purpose

It is significant to estimate the damping ratios for stability of some engineering structures and micro-structures. This note will evaluate Multi-DOF (MDOF) linear system damping ratios.

Methods

This note is concerned with presenting improved approximate formulas of half-power bandwidth method (HPBM) for evaluating MDOF linear system damping ratios based on their DFRF and AFRF curve.

Results

A two-DOF (TDOF) linear vibration system is specially given to establish numeric experiments. The classic, third-order corrections and improved formulas of HPBM are listed. More specifically, using its displacement frequency response function (DFRF) and acceleration frequency response function (AFRF), the damping ratios of a linear system with TDOF are evaluated for a large range of significant factors.

Conclusion

It is observed that the present improved formulas of evaluating damping ratios with HPBM are explicit and precise for a certain range.

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Acknowledgements

The work is supported by the Science and Technology Developing Plan Project of Jilin Province (Grant No. 20160520021JH), Key Lab of Drilling and Exploitation Technology in Complex Conditions, Ministry of Land Resources, China (Grant No. KLDET2017013), Program for JLU Science and Technology Innovative Research Team, and Innovative Project of Scientific Forefront and Interdisciplinary of Jilin University (Grant No. 2013ZY14).

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Authors and Affiliations

  1. School of Mathematics, Jilin University, Changchun, 130012, People’s Republic of China

    W. P. Sun & B. S. Wu

  2. Key Lab of Drilling and Exploitation Technology in Complex Conditions of Ministry of Land Resources, Jilin University, Changchun, 130021, People’s Republic of China

    Y. H. Sun

  3. College of Construction Engineering, Jilin University, Changchun, 130021, People’s Republic of China

    Y. H. Sun & Y. P. Yu

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  1. W. P. Sun
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  2. Y. H. Sun
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  3. Y. P. Yu
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  4. B. S. Wu
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Correspondence to Y. P. Yu.

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Sun, W.P., Sun, Y.H., Yu, Y.P. et al. A Comparison of the Improved and Classic Half-Power Bandwidth Methods in Estimating Damping for Multi-DOF Systems. J. Vib. Eng. Technol. 6, 219–225 (2018). https://doi.org/10.1007/s42417-018-0034-3

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  • DOI: https://doi.org/10.1007/s42417-018-0034-3

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