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Propagation of deformation waves in wool felt

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Abstract

The natural wool felt is becoming increasingly popular and important as a resource material in various applications. In this study, a constitutive equation that describes the deformation wave propagation in the felt material is derived using a hysteretic piano hammer model. A nonlinear partial differential equation with third-order terms that takes into account the elastic and hereditary properties of a microstructured felt is used to study a pulse propagation in the one-dimensional case. The boundary value problem is considered, and the numerical solution describing the strain wave propagation is provided. It is shown that the speed of a deformation wave increases with the growth of its amplitude. Also, the nonlinearity makes the front slope of a pulse steeper, which causes the eventual breaking of a pulse. The solution of the linear problem is analyzed, and the rate of the wave attenuation in the felt material is estimated.

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References

  1. Ghosh M.: An experimental study of the duration of contact of an elastic hammer striking a damped pianoforte string. Indian J. Phys. 7, 365–382 (1932)

    Google Scholar 

  2. Hall D.E., Askenfelt A.: Piano string excitation. V. Spectra for real hammers and strings. J. Acoust. Soc. Am. 83, 1627–1638 (1988)

    Article  Google Scholar 

  3. Yanagisawa T., Nakamura K., Aiko H.: Experimental study on force–time curve during the contact between hammer and piano string. J. Acoust. Soc. Jpn. 37, 627–633 (1981)

    Google Scholar 

  4. Yanagisawa T., Nakamura K.: Dynamic compression characteristics of piano hammer. Trans. Music. Acoust. Tech. Group Meet. Acoust. Soc. Jpn. 1, 14–18 (1982)

    Google Scholar 

  5. Yanagisawa T., Nakamura K.: Dynamic compression characteristics of piano hammer felt. J. Acoust. Soc. Jpn. 40, 725–729 (1984)

    Google Scholar 

  6. Stulov A.: Hysteretic model of the grand piano hammer felt. J. Acoust. Soc. Am. 97, 2577–2585 (1995)

    Article  Google Scholar 

  7. Rabotnov Yu.N.: Elements of Hereditary Solid Mechanics, Chap. 17. MIR Publishers, Moscow (1980)

    Google Scholar 

  8. Stulov A., Magi A.: Piano hammer testing device. Proc. Estonian Acad. Sci. Eng. 6, 259–267 (2000)

    Google Scholar 

  9. Stulov A.: Experimental and computational studies of piano hammers. Acta Acoust. United Acoust. 91, 1086–1097 (2005)

    Google Scholar 

  10. Stulov A.: Dynamic behavior and mechanical features of wool felt. Acta Mech. 169, 13–21 (2004)

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Institute of Cybernetics, Tallinn University of Technology, Akadeemia 21, 12618, Tallinn, Estonia

    Dmitri Kartofelev & Anatoli Stulov

Authors
  1. Dmitri Kartofelev
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  2. Anatoli Stulov
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Correspondence to Dmitri Kartofelev.

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Kartofelev, D., Stulov, A. Propagation of deformation waves in wool felt. Acta Mech 225, 3103–3113 (2014). https://doi.org/10.1007/s00707-014-1109-1

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  • DOI: https://doi.org/10.1007/s00707-014-1109-1

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