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Vibrational properties of wood along the grain
Authors:E Obataya  T Ono  M Norimoto
Affiliation:(1) Institute of Agricultural and Forest Engineering, Univerisity of Tsukuba, Ibaraki, 305-8572, Japan;(2) Faculty of Engineering, Gifu University, Gifu, 501-1112, Japan;(3) Wood Research Institute, Kyoto University, Uji, 611-0011, Japan
Abstract:The dynamic Young's modulus (EprimeL) and loss tangent (tan delta L ) along the grain, dynamic shear modulus (GprimeL) and loss tangent (tan deltaS) in the vertical section, and density (rgr) of a hundred spruce wood specimens used for the soundboards of musical instruments were determined. The relative acoustic conversion efficiency ( 
$$\alpha ,{\text{ }}\sqrt {E'_{\text{L}} /{\kern 1pt} \rho /{\kern 1pt} \tan \delta _{\text{L}} } $$
) and a ratio reflecting the anisotropy of wood (beta, (EprimeL/GprimeL)(tan deltaS/tan deltaL)) were defined in order to evaluate the acoustic quality of wood along the grain. There was a positive correlation between agr and beta, and the variation in beta was larger than that in agr. It seemed logical to evaluate the acoustic quality of spruce wood by a measure of beta. By using a cell wall model, those acoustic factors were expressed with the physical properties of the cell wall constituents. This model predicted that the essential requirement for an excellent soundboard is smaller fibril angle of the cell wall, which yields higher agr and higher beta. On the other hand, the effects of chemical treatments on the agr and beta of wood were clarified experimentally and analyzed theoretically. It was suggested that the agr and beta of wood cannot be improved at the same time by chemical treatment.
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