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Tuning of centrifugal pendulum vibration absorbers operating in a fluid

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Abstract

The subject of linear and nonlinear tuning of centrifugal pendulum vibration absorbers operating in a fluid is addressed. These absorbers are used to reduced engine order torsional vibrations in rotating machinery, and they are often housed in a rotating enclosure filled with a fluid, an important example of which is the automotive torque converter. The pressure field in the rotating fluid generates an effective buoyancy on the pendulum mass, thereby affecting its oscillation frequency. This effect is well known for simple pendulums operating in a static fluid under gravity and is herein generalized to the case of a finite-sized centrifugal pendulum operating in a rotating fluid. A sample shape for the pendulum absorber is considered in detail, showing how the expected results from a simple, small-volume absorber are generalized to account for more realistic geometries. The main results are expressed in terms of kinematic parameters for the path of the pendulum that allow one to tune the small- and large-amplitude dynamics of the absorber. The tuning depends on the ratio of the fluid density to the absorber material density and a pair of dimensionless parameters that account for the absorber shape. It is also shown that tuning that ignores the fluid can lead to ineffective, even adverse, operation of the pendulum absorber.

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Data and computer code from this study will be made available upon reasonable request.

Notes

  1. For \(\nu =1\) the pendulum is neutral and its frequency is zero, as expected, and for \(\nu >1\) the stable position of the pendulum is vertically upright—as in the case of a helium balloon—and the frequency of oscillation is then \(\sqrt{\frac{g}{\ell }\left( \nu ^{-1}-1 \right) }\).

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Acknowledgements

SWS is grateful to Hervé Mahe and Nicholas Cardon of Valeo for stimulating discussions about this topic.

Funding

The authors are grateful to Stellantis for partial financial support of this effort.

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Authors and Affiliations

  1. Florida Institute of Technology, 150 W University Blvd, Melbourne, FL, USA

    Steven W. Shaw & Reza Bahadori

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  1. Steven W. Shaw
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  2. Reza Bahadori
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SWS conceived and managed the project. RB carried out the detailed calculations under the super-vision of SWS.

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Correspondence to Steven W. Shaw.

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Shaw, S.W., Bahadori, R. Tuning of centrifugal pendulum vibration absorbers operating in a fluid. Nonlinear Dyn 112, 741–755 (2024). https://doi.org/10.1007/s11071-023-09087-1

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