小径木半圆指接数学模型及出材理论

doi:10.11707/j.1001-7488.20200516

Abstract

Abstract:

Objective: Small-diameter log is integrated by half-sectional finger joint process in order to improve its recovery. Methods: The mathematical model of the ideal log and log integrated by half-sectional figure joint was established, respectively. The slab was cut to process finger-joint when the central angle was set as 60°. Additionally, the volumes of log, slab and finger joint section were calculated to obtain the effective volume of small-diameter log. Logs with diameters of 120-190 mm were chosen. The long-diameter and short-diameter of 5 groups of small-diameter log were measured, and their recoveries were calculated. Results: The recovery of finger-joint log increased with an increasing diameter. When the diameter of log was 190 mm, according to the mathematical model of the ideal log, the volume of log was 32 022.51 mm³; according to the mathematical model of the slab, the removal volume was 966.46 mm³; according to the mathematical model of the finger joint, the removal volume was 3 907.93 mm³. According to the above data, the recovery of log was 84.78% and reached to the maximum. Conclusion: Half-sectional finger joint process could improve the recovery of small-diameter log. The established mathematical model of the ideal log, the mathematical model of log integrated by half-sectional figure joint and the corresponding formula could provide theoretical bases for correlational studies. The recovery of log would be larger with an increasing diameter, which could provide references for actual selection of logs.

Key words: small-diameter log, half-sectional sawing, finger-joint process, mathematical model, recovery

CLC Number:

S784

Chunmei Yang,Wen Qu,Ting Jiang,Jiuqing Liu,Yan Ma,Qian Miao,Wenji Yu. Mathematical Model and Recovery Theory of Small-Diameter Log Integrated by Half-Sectional Finger Joint[J]. Scientia Silvae Sinicae, 2020, 56(5): 143-149.

Figures/Tables 8

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References 0

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编号 No.	小径木1 Log 1	小径木2 Log 2	小径木3 Log 3	小径木4 Log 4	小径木5 Log 5
D_b1/mm	120	140	160	170	190
D_a1/mm	124	146	170	180	190
D_a2/mm	124	146	177	200	240
1/q	1	1	1.04	1.11	1.26
S₀	11 680.8	16 045.4	22 307.3	25 342.16	32 022.51
S₁	306.53	399.56	588.34	645.66	966.46
S₂	1 163.95	2 305.26	3 122.27	3 501	3 907.93
η(%)	83.13	83.14	83.50	83.63	84.78

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Mathematical Model and Recovery Theory of Small-Diameter Log Integrated by Half-Sectional Finger Joint

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