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Theoretical-Experimental Method for Determining the Parameters of Damping Based on the Study of Damped Flexural Vibrations of Test Specimens. 3. Identification of the Characteristics of Internal Damping

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Mechanics of Composite Materials Aims and scope

The logarithmic decrement of damped vibrations of materials is determined using a theoretical-experimental method. The method is based on measuring the deflection amplitudes of flat cantilever test specimens during their damped vibrations according to the first resonance mode, on the description of internal viscous friction of materials by known models both in linear and nonlinear approximations, on theoretical determination of the aerodynamic constituent of damping, and on a theoretical investigation of damping vibrations of test specimens by employing equations of motion constructed with a corresponding degree of accuracy and pithiness. To determine the vibration decrement of a soft material in tension-compression, sandwich test specimens with a steel core and external layers made of the soft material were used, but in transverse shear — with a core made of the soft material and steel external layers. A considerable effect of external aerodynamic forces on the vibration decrement of the specimens is revealed. Two methods for identification of the parameters of internal damping are proposed on the basis of data of the experimental investigations performed.

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Acknowledgments

This study was financially supported by the Russian Fund for Basic Research, Project No. 14-19-00667.

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Authors and Affiliations

  1. Kazan National Research Technological University, Institute of Aviation, Land Transport and Energy, Kazan, Russia

    V. N. Paimushin, V. A. Firsov & I. Gyunal

  2. Kazan (Volga region) Federal University, Lobachevskii Institute of Mathematics and Mechanics, Kazan, Russia

    A. G. Egorov

  3. Kazan State Architectural Building Academy, Tatarstan, Russia

    R. A. Kayumov

Authors
  1. V. N. Paimushin
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  2. V. A. Firsov
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  3. I. Gyunal
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  4. A. G. Egorov
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  5. R. A. Kayumov
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Corresponding author

Correspondence to V. N. Paimushin.

Additional information

Translated from Mekhanika Kompozitnykh Materialov, Vol. 50, No. 5, pp. 883-902, September-October, 2014.

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Paimushin, V.N., Firsov, V.A., Gyunal, I. et al. Theoretical-Experimental Method for Determining the Parameters of Damping Based on the Study of Damped Flexural Vibrations of Test Specimens. 3. Identification of the Characteristics of Internal Damping. Mech Compos Mater 50, 633–646 (2014). https://doi.org/10.1007/s11029-014-9451-x

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  • DOI: https://doi.org/10.1007/s11029-014-9451-x

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