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Official Journal of the Japan Wood Research Society

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Internal friction measurement of tropical species by various acoustic methods

Abstract

A batch of 54 tropical species was analyzed using free-vibration and forced-released vibration tests. The free-vibration tests were conducted by bending and compression using nylon thread or elastic thread as supports. The wood species used cover a broad spectrum of density values and were obtained from the CIRAD wood collection. Samples were stabilized at a mean moisture content of 11.1%. The goals of the study were (a) to observe the effects of nylon or elastic supports on the measurement of vibration damping, (b) to compare the damping measurements obtained through free vibration in bending and in compression, (c) to understand the relationship between temporal damping and internal friction based on free-vibration and forced-vibration bending tests, and (d) to observe the effect of frequency on bending free-vibration damping on a rosewood specimen (Dalbergia sp., Madagascar). In this study we were able to demonstrate that (a) the type of support has a significant influence on the measurement of the temporal damping, (b) the temporal damping measurements obtained during bending free vibration are linearly linked to those obtained during compression vibration, (c) the expression of internal friction η V according to temporal damping α was identical during compression and bending free vibration: η V = α/(πf), and (d) changes in temporal damping α according to frequency f can be modeled in the form α = β 1 f 2 - β 2 f 4. This form is theoretically justified as the first-order form obtained from the generalized differential equation of linear viscoelasticity.

References

  1. Martinez-Vega JJ, Rivière A (2000) Mesure de frottement interne. Sciences et Techniques de l’Ingénieur, Paris, P1310, p 8

    Google Scholar 

  2. Ono T, Norimoto M (1983) Study on Young’s modulus and internal friction of wood in relation to the evaluation of wood for musical instruments. Jpn J Appl Phys 22:611–614

    Article  Google Scholar 

  3. Fukada E (1950) The vibrational properties of wood I. J Phys Soc Jpn 5:321–327

    Article  Google Scholar 

  4. Hearmon RFS (1958) The infl uence of shear and rotatory inertia on the free fl exural vibration of wooden beams. Br J Appl Phys 9:381–388

    Article  Google Scholar 

  5. Ono T, Norimoto M (1984) On physical criteria for the selection of wood for soundboards of musical instruments. Rheol Acta 23:652–656

    Article  Google Scholar 

  6. Ono T, Norimoto M (1985) Anisotropy of dynamic Young’s modulus and internal friction in wood. Jpn J Appl Phys 24:960–964

    Article  Google Scholar 

  7. Ono T, Kataoka A (1979) The frequency dependence of the dynamic Young’s modulus and internal friction of wood used for the soundboard of musical Instruments II. The dependence of the Young’s modulus and internal friction on frequency, and the mechanical frequency dispersion (in Japanese). Mokuzai Gakkaishi 25:535–542

    Google Scholar 

  8. Nakao T, Okano T, Asano I (1985) Theoretical and experimental analysis of fl exural vibration of the viscoelastic Timoshenko beam. J Appl Mech 52:728–731

    Article  Google Scholar 

  9. Obataya E, Ono T, Norimoto M (2000) Vibrational properties of wood along the grain. J Mater Sci 35:2993–3001

    Article  CAS  Google Scholar 

  10. Norimoto M, Tanaka F, Ohogama T, Ikimune R (1986) Specifi c dynamic Young’s modulus and internal friction of wood in the longitudinal direction (in Japanese). Wood Res Tech Notes 22:53–65

    Google Scholar 

  11. Yano H (1994) The changes in the acoustic properties of western red cedar due to methanol extraction. Holzforschung 48:491–495

    Article  CAS  Google Scholar 

  12. Matsunaga M, Sugiyama M, Minato K, Norimoto M (1996) Physical and mechanical properties required for violin bow materials. Holzforschung 50:511–517

    Article  CAS  Google Scholar 

  13. Obataya E, Umezawa T, Nakatsubo F, Norimoto M (1999) The effects of water-soluble extractives on the acoustic properties of reed (Arundo donax L.). Holzforschung 53:63–67

    Article  CAS  Google Scholar 

  14. Placet V, Passard J, Perré P (2007) Viscoelastic properties of green wood across the grain measured by harmonic tests in the range 0°–95°C: hardwood vs. softwood and normal wood vs. reaction wood. Holzforschung 61:548–557

    Article  CAS  Google Scholar 

  15. Brémaud I (2006) Diversity of woods used in musical instrument making (in French). PhD thesis, University of Montpellier II

  16. Jiang J, Lu J, Yan H (2007) Dynamic viscoelastic properties of wood treated by three drying methods measured at high-temperature range. Wood Fiber Sci 40:72–79

    Google Scholar 

  17. Brancheriau L, Baillères H, Détienne P, Gril J, Kronland R (2006) Key signal and wood anatomy parameters related to the acoustic quality of wood for xylophone-type percussion instruments. J Wood Sci 52:270–273

    Article  Google Scholar 

  18. Brancheriau L, Baillères H, Détienne P, Kronland R, Metzger B (2006) Classifying xylophone bar materials by perceptual, signal processing and wood anatomy analysis. Ann For Sci 63:73–81

    Article  Google Scholar 

  19. Aramaki M, Baillères H, Brancheriau L, Kronland R, Ystad S (2007) Sound quality assessment of wood for xylophone bars. J Acoust Soc Am 121:2407–2420

    Article  PubMed  Google Scholar 

  20. Venizelos G (2002) Vibrations des structures. Ellipses, Paris

    Google Scholar 

  21. Chaigne A, Kergomard J (2008) Acoustique des instruments de musique. Belin, Paris

  22. Liu T, Ödeen K (1989) Rheological behaviour of wood and wood structures - review of literature, theories and research needs. Research Report TRITA-BYMA 1989:3, Department of Building Materials, the Royal Institute of Technology, Stockholm, p 145

    Google Scholar 

  23. Ouis D (2002) On the frequency dependence of the modulus of elasticity of wood. Wood Sci Technol 36:335–346

    Article  CAS  Google Scholar 

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Correspondence to Loïc Brancheriau.

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Brancheriau, L., Kouchade, C. & Brémaud, I. Internal friction measurement of tropical species by various acoustic methods. J Wood Sci 56, 371–379 (2010). https://doi.org/10.1007/s10086-010-1111-8

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  • DOI: https://doi.org/10.1007/s10086-010-1111-8

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