• 论文与研究报告 •

### 小径木半圆指接数学模型及出材理论

1. 1. 东北林业大学林业与木工机械工程技术中心 哈尔滨 150040
2. 中国林业科学研究院木材工业研究所 北京 100091
• 收稿日期:2019-01-26 出版日期:2020-05-01 发布日期:2020-06-13
• 通讯作者: 刘九庆
• 基金资助:
国家重点研发计划"小径材多界面加工关键装备研究"(2018YFD06003054);黑龙江省应用技术研究与开发计划项目(GA19A402)

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

Chunmei Yang1,Wen Qu1,Ting Jiang1,Jiuqing Liu1,*,Yan Ma1,Qian Miao1,Wenji Yu2

1. 1. Forestry and Woodworking Machinery Engineering Technology Center, Northeast Forestry University Harbin 150040
2. Research Institute of Wood Industry, CAF Beijing 100091
• Received:2019-01-26 Online:2020-05-01 Published:2020-06-13
• Contact: Jiuqing Liu

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.