МАТЕМАТИЧНЕ МОДЕЛЮВАННЯ ВИХОДУ СПЕЦИФІКАЦІЙНИХ ПИЛОМАТЕРІАЛІВ ПІД ЧАС РОЗКРОЮ ВИСОКОЯКІСНОЇ ДУБОВОЇ ПИЛОВНОЇ СИРОВИНИ

Олексій Чорнобай; Віталій Лань

doi:10.36930/42265211

Authors

O.O. Chornobay Ukrainian National Forestry University https://orcid.org/0009-0002-9842-9544
V.M. Lan Ukrainian National Forestry University https://orcid.org/0009-0007-4012-6889

DOI:

https://doi.org/10.36930/42265211

Keywords:

pedunculate oak; sawlogs; log sawing; specification lumber; volumetric yield; log diameter; saw kerf width; mathe-matical modelling; regression model; resource efficiency

Abstract

Improving the efficiency of high-quality sawlog utilization is an important objective in sawmilling, particularly when processing valuable hardwood species. The aim of this study was to establish the relationships between oak log diameter, saw kerf width, and the volumetric yield of acceptable specification lumber and to develop a mathematical model for predicting this response. The study investigated the sawing of high-quality pedunculate oak (Quercus robur L.) logs, 4.0 m in length, into lumber with specified dimensions of 4000×200×50 mm. Log diameter d=400–600 mm and saw kerf width s=2.0–5.0 mm were selected as the variable factors. Five replicate determinations were performed for each combination of factors. The experimental data were processed using regression and analysis of variance methods, and a second-order polynomial model was developed. The mean experimental volumetric yield ranged from 49.12 to 61.82 %. Increasing log diameter from 400 to 600 mm increased the predicted yield by approximately 9.30–9.50 %, whereas increasing the saw kerf width from 2.0 to 5.0 mm reduced it by 3.18–3.40 %. Statistically significant linear effects of both factors and a quadratic effect of log diameter were identified. The interaction between the factors and the quadratic effect of saw kerf width were statistically insignificant within the investigated range. The highest predicted yield, approximately 61.83%, was obtained at a log diameter of 600 mm and a saw kerf width of 2.0 mm. The developed mathematical model enables prediction of specification lumber yield and provides a quantitative basis for selecting a rational combination of sawing parameters for the resource-efficient processing of high-quality oak sawlogs.

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