Measuring density and Young’s modulus of a log through the vibration test without measuring its weight

Journal of Wood Science

Official Journal of the Japan Wood Research Society

Table 3 Estimation acccuracy of the vibration method with additional mass (VAM) for logs when the butt end or top end were cut

Specimen	Circumference of end (mm)		Length (mm)	Measured Mass M₀ (g)	Frequency (Hz)	m_n0	Estimated mass by the VAM M_VAM (g)	M_VAM/M₀
Specimen	Butt	Top	Length (mm)	Measured Mass M₀ (g)	Frequency (Hz)	m_n0	Estimated mass by the VAM M_VAM (g)	M_VAM/M₀
Cutting the butt end
1	809	658	3009.0	108,540	440.700	3.15511	Initial	Initial
	802	658	2948.0	105,440	452.700	3.15400	93,247	0.88
	790	658	2891.0	102,660	463.650	3.15219	92,871	0.90
	778	658	2832.0	100,040	474.950	3.15050	90,102	0.90
2	681	570	3082.5	84,340	372.200	3.15163	Initial	Initial
	678	570	3020.0	82,540	379.550	3.15114	76,620	0.93
	676	570	2963.5	80,740	387.000	3.15082	75,790	0.94
	674	570	2899.5	78,920	395.200	3.15050	72,893	0.92
3	612	505	3014.5	49,500	371.400	3.14962	Initial	Initial
	605	505	2964.5	48,220	380.550	3.14851	44,727	0.93
	600	505	2903.0	46,840	392.050	3.14775	41,039	0.88
	579	505	2841.5	45,520	404.550	3.14501	39,000	0.86
Cutting the top end
4	611	506	3004.0	74,000	482.200	3.15286	Initial	Initial
	611	514	2961.0	73,180	488.800	3.15107	71,585	0.98
	611	513	2906.0	71,980	499.100	3.15129	69,060	0.96
	611	517	2850.0	70,960	506.950	3.15045	70,285	0.99
5	697	569	3022.0	95,500	384.750	3.15463	Initial	Initial
	697	566	2975.0	94,400	390.150	3.15532	97,210	1.03
	697	564	2922.0	92,960	398.000	3.15579	91,954	0.99
	697	550	2852.0	91,820	404.050	3.15933	93,970	1.02
6	611	488	3016.0	58,660	339.550	3.15758	Initial	Initial
	611	504	2963.5	57,780	346.550	3.15334	52,106	0.90
	611	478	2907.5	56,900	353.400	3.16064	55,803	0.98
	611	490	2849.0	56,060	360.300	3.15701	53,490	0.95