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Table 2 Parameters of the relationship \( { \tan }\delta = {1}{0^{{ - A}}} \times {\left( {E\prime /\gamma } \right)^{{ - B}}} \) as obtained by regressions on different samples

From: Characterisation and categorisation of the diversity in viscoelastic vibrational properties between 98 wood types

 

N specimens

A

B

\( {\text{R}}_{\text{direct}}^2{ \tan }\delta = f\left( {E\prime /\gamma } \right) \)

\( R_{\text{combined}}^2{ \tan }\delta /\left( {E\prime /\gamma } \right) = {\text{f}}\left( {E\prime /\gamma } \right) \)

All samples

1,792

1.322

0.692

0.50

0.86

Softwoods (normal wood = NW)

140

1.222

0.639

0.76

0.95

Hardwoods (NW) with high extractives content

1,153

1.474

0.620

0.57

0.90

Hardwoods (NW) with low extractives content

221

1.231

0.677

0.73

0.94

25 softwood speciesa

1,227

1.23

0.68

 

0.91

30 hardwood speciesb

118

1.34

0.62

 

0.83

  1. Constants are derived from regressions based on E′/γ expressed in GPa. \( R_{\text{direct}}^2 \) and \( R_{\text{combined}}^2 \) = coefficient of determination obtained from plotting tanδ directly versus E′/γ, or tanδ/(E′/γ) versus E′/γ, respectively
  2. aOno and Norimoto (1983)
  3. bOno and Norimoto (1984)