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These works are licensed under a Creative Commons Attribution 4.0 International License. V.R. Fergin Complete text of the article:Download article (pdf, 0.6MB )UDС674.02DOI:10.17238/issn05361036.2018.4.107AnnotationWhen slabbing, the optimal diameter of the log depends not only on the given thickness of the beam, but also on the geometric parameters of the log: length and average taper. In this case, the ratio of the specified thickness of the beam to the optimal diameter of the log differs from the classical one, and the crosssection of a beam of a maximum volume is not square. For practical calculations of the optimal log diameters for the beamcutting method, short formulas are obtained. When cutting saw logs with slabbing, the thickness of the beam corresponds to the width of edging boards of full length, which is determined according to the specification of sawn timber produced at the sawmill. The bulk of the sawlogs is used for the production of these thick boards, obtained from the sawed beam face. The area of a doubleedged timber, limited by the size of the sawed face in the upper end, is a fouredged beam, from which the edged boards of the total length equal to the length of the log are produced. The desire to ensure the greatest efficiency when sawing out such boards of fouredged cant, inscribed in the circumference of the upper end of the log, is obvious. Then the coefficient of the board output from the saws should be maximum. By the methods of mathematical analysis the paper solves the problem of optimizing the diameter of logs and the relative dimensions of the beam in terms of thickness and width relative to the optimal diameter of the log, at which the coefficient of the volume yield of the fourcant timber reaches a maximum.AuthorsV.R. Fergin, Doctor of Engineering Sciences, ProfessorKeywordssawmilling, saw logs, sawing process, fouredged cant, edged board, slabbing, relative logscale factorFor citationFergin V.R. Development of the Sawing Process Theory. Lesnoy zhurnal [Forestry journal], 2018, no. 4, pp. 107–117. DOI: 10.17238/issn05361036.2018.4.107References1. Aksenov P.P., Makarova N.S., Prokhorov I.K., Tyukina Yu.P. Tekhnologiya pilomaterialov [Lumber Technology]. Moscow, Lesnaya promyshlennost’ Publ., 1976. 480 p. (In Russ.)2. Alekseev A.E., Alekseeva L.V. Organizatsiya malykh lesopil’nykh predpriyatiy: monogr. [Small Sawmills Organization]. Arkhangelsk, ASTU Publ., 2007. 732 p. (In Russ.) 3. Kaliteevskiy R.E. Lesopilenie v XXI veke. Tekhnologiya, oborudovanie, menedzhment [Sawmill in the 21st Century. Technology, Equipment, Management]. Saint Petersburg, PROFIINFORM Publ., 2005. 480 p. (In Russ.) 4. Rykunin S.N., Tyukina Yu.P., Shalaev V.S. Tekhnologiya lesopil’noderevoobrabatyvayushchikh proizvodstv [Technology of Sawmilling and Woodworking Industries]. Moscow, MSFU Publ., 2005. 226 p. (In Russ.) 5. Turushev V.G., Ivanov D.V. Tekhnologiya i oborudovaniye dlya obrabotki pilomaterialov i podgotovki ikh k realizatsii [Technology and Equipment for Lumber Processing and Preparing Them for Sales]. Arkhangelsk, ASTU Publ., 2002. 120 p. (In Russ.) 6. Ugolev B.N. Drevesinovedenie i lesnoe tovarovedenie [Wood Science and Forest Commodity Science]. Moscow, MSFU Publ., 2007. 352 p. (In Russ.) 7. Ulasovets V.G. Tekhnologicheskie osnovy proizvodstva pilomaterialov [Technological Fundamentals of Lumber Production]. Yekaterinburg, USFEU Publ., 2002. 510 p. (In Russ.) 8. Fergin V.R. K teorii raskroya pilovochnogo syr’ya [On the Sawing Process Theory]. Derevoobrabatyvayushchaya promyshlennost' [Woodworking Industry], 2009, no. 6, pp. 5–8. 9. Shako O.I. Model’ i programma rascheta postavov dlya raskroya breven na obreznyye pilomaterialy zadannykh razmerov [The Model and Program for Sawing Pattern Calculating of Log Cutting for Square Edged Timber of Target Sizes]. Tekhnologiya i oborudovanie dlya pererabotki drevesiny: nauch. tr. Vyp. 326 [Technology and Equipment for Wood Processing. Issue 326]. Moscow, MSFU Publ., 2005, pp. 37–40. (In Russ.) 10. Bl”skova G. D”rvesinoznaniye [Wood Science]. Sofia, LTU Publ., 2003. 287 p. 11. Brown T.D. Determining Lumber Target Sizes and Monitoring Sawing Accuracy. Forest Products Journal, 1979, vol. 29, no. 4, pp. 48–54. 12. Bowyer J.I., Shmulsky R., Haygreen J.G. Forest Products and Wood Science: an Introduction. USA, Iowa State Press, 2003. 554 p. 12. Bowyer J.I., Shmulsky R., Haygreen J.G. Forest Products and Wood Science: an Introduction. USA, Iowa State Press, 2003. 554 p. 13. Fergin V.R. Optimation of Sawnwood Production by Means of Mathematical Programming. Scientific Reports from the Agricultural College of Norway, 1978, vol. 57, no. 14. 20 p.
Received on January 17, 2018 Development of the Sawing Process Theory 
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