PARABOLIC BEHAVIOR OF THE YOUNG’S MODULI RATIO OF WOOD OBTAINED BY VIBRATION TESTS WITH TIME DURING DRYING

Authors

  • Yoshitaka Kubojima Forestry and Forest Products Research Institute
  • Youki Suzuki Forestry and Forest Products Research Institute
  • Hideo Kato Forestry and Forest Products Research Institute
  • Isao Kobayashi Forestry and Forest Products Research Institute

Keywords:

bending vibration, longitudinal vibration, temporal change, TGH method, water distribution, Young’s modulus

Abstract

A method to estimate the water distribution within wood lumber was developed using bending and longitudinal vibration tests. Sitka spruce and Japanese cedar green wood were left inside a controlled environment of 20°C and 65% relative humidity. The bending and longitudinal vibration tests were performed and the Young’s modulus was obtained by each testing method. And then, the temporal changes in the ratio of Young’s modulus based on the bending vibration to that based on the longitudinal vibration were investigated during drying. The ratio of Young’s modulus increased and then decreased with time during drying due to the difference between the Young’s modulus of the outer portion of wood and that of the inner portion. The temporal change in the ratio of Young’s modulus was similar to the estimate using a simple cross-sectional model developed in this study. The bending Young’s modulus calculated using Euler-Bernoulli’s elementary theory could be used instead of that using the Goens-Hearmon regression method based on the Timoshenko theory of bending.

 

 

References

Carrington H (1922) The elastic constants of spruce as influenced by moisture. The Aeronautical J 26(144):462-471

Goens E (1931) Über die Bestimmung des Elastizitätsmodulus von Stäben mit Hilfe von Biegungsschwingungen. Annal Phys 403(6):649-678.

Hearmon RFS (1948) The elasticity of wood and plywood, His Majesty's Stationary Office, London.

Hearmon RFS (1958) The influence of shear and rotatory inertia on the free flexural vibration of wooden beams. Brit J Appl Phys 9(10):381-388.

Kubojima Y, Tonosaki M (2013) Effect of specimen width on the shear modulus of wood obtained by flexural vibration tests. Wood Fib Sci 45(2):170-177.

Kubojima Y, Tonosaki M, Yoshihara H (2005) Effect of additional mass on Young's modulus of a wooden beam. J Test Eval 33(4):278-282.

Kubojima Y, Yoshihara H, Ohta M, Okano T (1996) Examination of the method of measuring the shear modulus of wood based on the Timoshenko theory of bending. Mokuzai Gakkaishi 42(12):1170-1176.

Nakao T, Okano T, Asano I (1984) Measurement of anisotropic shear modulus by the torsional-vibration method for free-free wooden beams. Mokuzai Gakkaishi 30(11):877-885.

Suzuki Y (2005) Evaluation of moisture content of wood by electrical measurement. Wood Industry 60(10):483-488.

Suzuki Y, Ikeda K (2009) Estimation of water distribution in sugi (Japanese cedar) log using impedance models. Proceedings of the 8th International Conference on Electromagnetic Wave Interaction with Water and Moist Substances: 289-294.

Suzuki Y, Ikeda K, Woodhead I (2011) Evaluation of moisture content gradient in a log using impedance models. Proceedings of the 9th International Conference on Electromagnetic Wave Interaction with Water and Moist Substances: 42-46.

Timoshenko SP (1921) On the correction for shear of the differential equation for transverse vibrations of prismatic bars. Phil Mag 6 Ser 41(245):744-746.

Tonosaki M, Saito S (2000) Evaluation of non-homogeneity in wood by longitudinal and flexural vibration tests I. Trial on estimation of inner moisture content of dry-processed sugi boxed heart square sawn timber. Mokuzai Gakkaishi 46(1):20-24.

Tonosaki M, Saito S, Hiramatsu Y (2001) Evaluation of non-homogeneity in wood by longitudinal and flexural vibration tests II. Distribution of vibrational properties and FEM simulation of sugi boxed heart square sawn timber. Mokuzai Gakkaishi 47(2):92-96.

Tsuchikawa S (2011) Nondestructive measurement of wooden materials by near infrared spectroscopy - Present conditions and prospects -. Wood Industry 66(10):430-435.

Watanabe K, Hart F, Mansfield SD, Avramidis S (2010) Detection of wet-pockets on the surface of Tsuga heterophylla (Raf.) Sarg. by near infrared (NIR) spectroscopy. Holzforschung 64(1):55-60.

Watanabe K, Mansfield SD, Avramidis S (2011) Application of near-infrared spectroscopy for moisture-based sorting of green hem-fir timber. J Sood Sci 57(4):288-294.

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Published

2017-06-23

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Research Contributions