Theory of the Vibration Testing of Wood

The classical equations governing the longitudinal and bending vibrations of rods are derived with solutions appropriate to various end conditions. A tabulation is made of the numerical constants required to calculate the modulus of elasticity and the rod displacements in any mode of vibration. Particular attention is paid to the bending vibrations of a free-free rod and of a cantilever, the two configurations most often used for the experimental determination of the modulus of elasticity. The rotary inertia and shear corrections in bending vibration are considered; these corrections depend upon the anisotropy of the wood, and a method of dealing with them is described. Torsional vibrations, which also depend on wood anisotropy, are considered. Nondestructive testing of wood utilizing the relation between modulus of rupture and the modulus of elasticity for predicting strength is briefly discussed with reference particularly to the work of others.

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