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Research Papers

Frictional Damping of Flutter: Microslip Versus Macroslip

[+] Author and Article Information
Robert Hudson

Department of Mechanical and
Nuclear Engineering,
The Pennsylvania State University,
University Park, PA 16802
e-mail: rbh5070@psu.edu

Alok Sinha

Department of Mechanical and
Nuclear Engineering,
The Pennsylvania State University,
University Park, PA 16802
e-mail: axs22@psu.edu

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received May 24, 2016; final manuscript received June 17, 2016; published online August 16, 2016. Assoc. Editor: Michael Leamy.

J. Vib. Acoust 138(6), 061010 (Aug 16, 2016) (6 pages) Paper No: VIB-16-1264; doi: 10.1115/1.4034078 History: Received May 24, 2016; Revised June 17, 2016

Friction dampers are utilized in turbomachinery to reduce blade vibrations resulting from aeroelastic interactions. In this paper, the microslip friction model is applied to a blade with blade to ground damper and subjected to negative damping. Analysis using the describing function method, also known as the method of harmonic balance, is used to identify the behavior of the system and the maximum negative damping that can be stabilized by such a damper. These results are compared to those for the macroslip friction model.

FIGURES IN THIS ARTICLE
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Copyright © 2016 by ASME
Topics: Dampers , Damping , Friction
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References

Dowell, E. H. , 2015, A Modern Course in Aeroelasticity, Springer, Switzerland.
Bartels, R. E. , and Sayma, A. , 2007, “ Computational Aeroelastic Modeling of Airframes and Turbomachinery: Progress and Challenges,” Philos. Trans. R. Soc., A, 365(1859), pp. 2469–2499. [CrossRef]
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Sinha, A. , and Griffin, J. H. , 1985, “ Effects of Friction Dampers on Aerodynamically Unstable Rotor Stages,” AIAA J., 23(2), pp. 262–270. [CrossRef]
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Menq, C.-H. , Bielak, J. , and Griffin, J. , 1986, “ The Influence of Microslip on Vibratory Response, Part I: A New Microslip Model,” J. Sound Vib., 107(2), pp. 279–293. [CrossRef]
Menq, C.-H. , Griffin, J. , and Bielak, J. , 1986, “ The Influence of Microslip on Vibratory Response, Part II: A Comparison With Experimental Results,” J. Sound Vib., 107(2), pp. 295–307. [CrossRef]
Koh, K.-H. , Griffin, J. , Filippi, S. , and Akay, A. , 2005, “ Characterization of Turbine Blade Friction Dampers,” ASME J. Eng. Gas Turbines Power, 127(4), pp. 856–862. [CrossRef]
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Martel, C. , Corral, R. , and Ivaturi, R. , 2015, “ Flutter Amplitude Saturation by Nonlinear Friction Forces: Reduced Model Verification,” ASME J. Turbomach., 137(4), p. 041004. [CrossRef]
Olofsson, U. , 1995, “ Cyclic Microslip Under Unlubricated Conditions,” Tribol. Int., 28(4), pp. 207–217. [CrossRef]
Chiang, D.-Y. , 1999, “ The Generalized Masing Models for Deteriorating Hysteresis and Cyclic Plasticity,” Appl. Math. Modell., 23(11), pp. 847–863. [CrossRef]
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Figures

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Fig. 1

Blade to ground damper

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Fig. 2

Schematic of microslip damper

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Fig. 3

Hysteresis curves of microslip and macroslip damper systems

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Fig. 4

Dimensional single degree-of-freedom system

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Fig. 5

Nondimensional single degree-of-freedom system

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Fig. 6

Amplitudes of limit cycles

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Fig. 7

Simulated response for initial conditions corresponding to point A in Fig. 6

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Fig. 8

Simulated response for initial conditions corresponding to point B in Fig. 6

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Fig. 9

Phase portrait of response with microslip damper

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Fig. 10

Comparison of energy dissipated by macroslip and microslip dampers

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