РОЗРОБЛЕННЯ МАТЕМАТИЧНОЇ МОДЕЛІ МІЦНОСТІ ЗРОЩЕНИХ  ЗАГОТОВОК ІЗ ВЖИВАНОЇ ДЕРЕВИНИ ЯЛИЦІ

Лев Лесів; Сергій Гайда; Любов Салапак

doi:10.36930/42245002

Authors

L.E. Lesiv Ukrainian National Forestry University https://orcid.org/0009-0009-3959-5447
S.V. Gayda Ukrainian National Forestry University https://orcid.org/0000-0001-7468-5661
L.V. Salapak Ukrainian National Forestry University

DOI:

https://doi.org/10.36930/42245002

Keywords:

post-consumer wood, jointed blanks, mathematical model, technology, strength, gluing, processing, white fir (Abies alba Mill), circular economy

Abstract

The expediency of using dimensionally suitable block elements of post-consumer wood for obtaining spliced blanks for the manufacture of wood products is substantiated. Spliced blanks from used fir wood were prepared by implementing the B-plan of the second order, where the variables were the width of dimensionally suitable bars and the length of the toothed spikes in the bars. The limit of strength during static bending for spliced blanks from post-consumer fir wood was determined experimentally and an adequate mathematical (regression) model was built depending on the width of dimensionally suitable fir bars B (x₁) and the length of tooth-shaped spikes in bars D (x₂). It was determined that the width of the fir bar B(x₁) in the construction of the jointed blanks leads to a significant increase in the strength limit during static bending σu (from 16.17 to 19.40%). On the other hand, the trend regarding the dependence of the length of toothed spikes in bars D (x₂) on the increase in strength limit during static bending σu is less significant (from 10.58 to 14.03%). It was found that an increase in the length of the toothed spike from 10 to 20 mm leads to an increase in the strength limit under static bending by 5.78%, and from 10 to 30 mm – by 10.58%. It was established that the obtained strength limits σu for all samples of experimental samples of spliced blanks from post-consumer fir wood, regardless of their design, meet the regulatory requirements for primary fir wood (84.5 MPa). Based on the results of experimental studies, it was established that the maximum value of the strength limit during static bending σ_u = 72.2478 MPa, taken as an absolute value, can be obtained by fixing the dimensional parameters of the width of dimensionally suitable fir bars B = 56 mm and the length of the teeth – those spikes in bars D = 30 mm. Based on practical experience, it is recommended to use used wood for the production of jointed blanks with a cross-section of dimensionally suitable bars in the thickness-width ratio of no more than 1:3 with a toothed spike length of 30 mm for lattice furniture blanks, and for furniture panels and joinery boards – 10 mm.

References

Circular economy industry platform. http://www.circulary.eu/project/renault-closed-loop.

Gayda S.V. (2017). Комплексні дослідження зміни пружних властивостей вживаної дере-вини ялиці з віком / Kompleksni doslidzhennya zminy pruzhnykh vlastyvostey vzhyvanoyi derevyny yalytsi z vikom [The complex studies on the change of elastic properties of post-consumer fir wood with age]. Forestry, Forest, Paper and Woodworking Industry 43:58-72 (in Ukrainian). doi: https://doi.org/10.36930/42174308

Gayda S.V. (2000): Матеріали для виготовлення виробів з деревини / Materials for the Productsion of wood Productss. Lviv: BMC. – 160 p. (in Ukr.).

Gayda S.V., Maksymiv V.M. From recycled post-consumer wood towards prime quality par-ticleboard / Ліс. госп-во, ліс., папер. та деревооб. пром-сть // міжвід. наук.-техн. зб. – Львів: НЛТУ України. – 2010, вип. 36. – С. 57-77.

Gayda, S.V. (2010). A comparative analysis of physical and mechanical parameters of various-ly designed glued boards made of post-consumer recovered wood. Forestry, Forest, Paper and Woodworking Industry 36:81-91.

Gayda S.V. (2007). Research of concentration of operations is in modern furniture Productsion. Forestry, Forest, Paper and Woodworking Industry 33:73-79 (in Ukrainian).

Gayda S.V. (2009). Potential of post-consumer recovered wood and possible ways of it using in Ukraine // Forestry, Forest, Paper and Woodworking Industry 35:63-83.

Gayda S.V. (2013). Resource-saving technologies of recycling of post-consumer wood]. Scien-tific Bulletin of NULES of Ukraine: Technology and Energy of agroindustrial complex 185(2):271-280, (in Ukrainian).

Gayda S.V. (2013). The technological solutions for recycling of post-consumer wood. Proceed-ings of I International Interdisciplinary Scientific Conference Formation of stable outlook as the ba-sis of sustainable development (Ukraine, Lviv, 14-16 March 2013) UNFU: Lviv, 5-11.

Gayda S.V. (2013). Розроблення технології виробництва паливних гранул на основі енергетичного потенціалу вживаної деревини [Development of technology for the production of fuel pellets based on the energy potential of used wood]. Scientific Bulletin of UNFU 23.14:83-93. (in Ukrainian).

Gayda S.V. (2014). Teoreticheskoye obosnovaniye podkhoda po prognozirovaniyu prochnosti drevesnostruzhechnykh plit iz vtorichno ispol'zuyemoy drevesiny [The theoretical rationale for the approach on the prediction the strength of particleboard from recycled wood]. Actual problems of forest complex 38:212-216 (in Russian).

Gayda S.V. (2016): A investigation of form of stability of variously designed blockboards made of post-consumer wood. ProLigno 12(1):22-31.

Gayda S.V. (2015). Modeling properties of blockboards made of post-consumer wood on the basis of the finite element method. Forestry, Forest, Paper and Woodworking Industry, 41, 39-49. https://doi.org/10.36930/42154106

Gayda S.V. (2016). A form of stability of blockboards made of post-consumer wood. Actual problems of forest complex, 46, 148-153 (in Russian).

Gayda S.V. (2016). Ecological and technological aspects of recycling post-consumer wood for production compacted materials]. Lesnoy vestnik / Forestry bulletin of MSFU 20(3):15-22, (in Russian).

Gayda S.V. (2016). Research on physical and mechanical characteristics of front blockboards made from post-consumer wood [Дослідження фізико-механічних характеристик фасадних сто-лярних плит із вживаної деревини]. Forestry, Forest, Paper and Woodworking Industry 42: 33-50.

Gayda S.V. (2016). Технологічні підходи до поверхневого очищення вживаної деревини голкофрезерним інструментом / Tekhnolohichni pidkhody do poverkhnevoho ochyshchennya vzhyvanoyi derevyny holkofrezernym instrumentom [Technological approaches to cleaning of surface of post-consumer wood of needle-milling tools]. Bulletin of KhNTUA 178:3-11(in Ukrainian).

Gayda S.V. (2017). A technology and properties of furniture board (FB) made of post-consumer wood (PCW). Actual problems of forest complex, 48, 34-38 (in Russian).

Gayda S.V. (2016). Технологічні підходи до поверхневого очищення вживаної деревини голкофрезерним інструментом / Tekhnolohichni pidkhody do poverkhnevoho ochyshchennya vzhyvanoyi derevyny holkofrezernym instrumentom [Technological approaches to cleaning of surface of post-consumer wood of needle-milling tools]. Bulletin of KhNTUA 178:3-11(in Ukrainian).

Gayda S.V. (2017). Using fuzzy expert systems for decision support in the process of post-consumer wood sorting. Forestry, Forest, Paper and Woodworking Industry, 43, 5-20. https://doi.org/10.36930/42174301 (in Ukrainian).

Gayda S.V. (2018). A investigation and analysis of characteristics of solid furniture boards made of post-consumer wood. Forestry, Forest, Paper and Woodworking Industry, 44, 15-25. https://doi.org/10.36930/42184402 (in Ukrainian).

Gayda S.V. (2018). Strength of combined blockboard made of post-consumer wood (PCW). Bulletin of KhNTUA 197:3-9, (in Ukrainian).

Gayda S.V. (2018). Технологія МДФ-фасадів / Tekhnolohiyi MDF-Fasadiv [MDF Facade Technologies]. Forestry, Forest, Paper and Woodworking Industry 44:70-83 (in Ukrainian). doi: https://doi.org/10.36930/42184410

Gayda S.V. (2019). Scientific and technical basis of the use of used wood in woodworking: thesis of the Doctor of Technical Sciences in the specialty 05.23. – Lviv: UNFU. – 465 (in Ukraini-an).

Gayda S.V. (2020). Analysis of structures and technologies of manufacture of modern furni-ture facades. Forestry, Forest, Paper and Woodworking Industry, 46, 54-64. https://doi.org/10.36930/42204606 (in Ukrainian).

Gayda S.V. (2023). Determination of the circularity indicator in the forest sector according to the principles of the circular economy. Forestry, Forest, Paper and Woodworking Industry, 49, 99-114. https://doi.org/10.36930/42234908 (in Ukrainian).

Gayda S.V., Bilyy Ya.M. (2016). The investigation of the shape stability of glued panels made of post-consumer wood. Forestry, Forest, Paper and Woodworking Industry, 42, 69-79. https://doi.org/10.36930/42164211 (in Ukrainian).

Gayda S.V. (2011): The investigation of physical and mechanical properties of wood parti-cleboards made from post-consumer wood. Forestry, Forest, Paper and Woodworking Industry 37(2):95-110.

Gayda S.V., Dyak, T.П. (2011). The analysis of economic efficiency of post-consumer wood use for particleboard manufacture for LLC Swisspan Limited. Forestry, Forest, Paper and Wood-working Industry, 37(2), 129-136. https://doi.org/10.36930/421137221] (in Ukrainian).

Gayda S.V., Kiyko O.A. (2013). Технология очистки вторично используемой древесины иглофрезерными станками [The technology of cleaning recycled wood with needle milling ma-chines] // Actual problems and prospects of the development of LPK: materials II NTK., September 9-11, 2013 – Kostroma. – P. 36-39.

Gayda S.V., Kiyko O.A. (2018). Shape stability as a quality criterion for PCW-made block-boards. Proceedings of the Forestry Academy of Sciences of Ukraine, 17, 185-192. https://doi.org/10.15421/411834 (in Ukrainian)

Gayda S.V., Kiyko O.A. (2020). Determining the regime parameters for the surface cleaning of post-consumer wood by a needle milling tool. Eastern-European Journal of Enterprise Technologies, 5 (1(107)), 89-97. https://doi.org/10.15587/1729-4061.2020.212484.

Gayda S.V., Kiyko O.A. (2020). The investigation of properties of blockboards made of post-consumer wood. Poznan : Drewno, 63(206), 77-102. https://doi.org/10.12841/wood.1644-3985.352.10.

Gayda S.V., Kiyko O.A. (2021). Властивості вживаної деревини як визначальний чинник якості меблевих виробів / Vlastyvosti vzhyvanoyi derevyny yak vyznachalʹnyy chynnyk yakosti meblevykh vyrobiv [Properties of used wood as a determining factor in the quality of furniture prod-ucts]. Scientific Works of the Forestry Academy of Sciences of Ukraine 23:152-162, (in Ukrainian). https://doi.org/10.15421/412135

Gayda S.V., Kiyko O.A. (2023). Study of Physical and Mechanical Properties of Post-Consumer Wood of Different Age. Drewno. Prace naukowe. Doniesienia. Komunikaty, 66(212), 00010. https://doi.org/10.53502/wood-177453.

Gayda S.V., Kiyko O.A., Guz, M.M. (2022): Research of the structure of stump and root-wood for effective use in the production of wood products. Folia Forestalia Polonica, Series A – For-estry, 2022, Vol. 64 (3), 131–142, doi: https://doi.org/10.2478/ffp-2022-0011

Gayda S.V. (2023). State and analysis of the dynamics indicators of the production volume of the woodworking and furniture industry. Forestry, Forest, Paper and Woodworking Industry 49: 4-19 (in Ukrainian). doi: https://doi.org/10.36930/42234901

Gayda S.V., Lesiv L.E. (2023). Mathematical model of forecasting volumes of post-consumer wood production. Forestry, Forest, Paper and Woodworking Industry, 49, 33-47. https://doi.org/10.36930/42234903] (in Ukrainian).

Orikhovskyy R.Ya., Gayda S.V. (2024). Determination of running time losses in automated processing systems of woodworking, [Оріховський Р.Я., Гайда С.В. Оцінювання ефективності використання робочого часу в автоматизованих виробничих системах деревообробного вироб-ництва]. Forestry, Forest, Paper and Woodworking Industry 50: 41-51 (in Ukrainian). doi: https://doi.org/10.36930/42245004

Gayda, S.V., Maksymiv, V.M. (2007): Analysis, features, problems and experience of the use of additional resources of raw material – wastes and of used wood. Forestry, Forest, Paper and Woodworking Industry 33:63-73 [in Ukrainian].

Gayda S.V., Petryshak I.V. (2020). Study of the influence of breed and grinding modes on the specific productivity of grinding skin. Forestry, Forest, Paper and Woodworking Industry, 46, 5-15. https://doi.org/10.36930/42204601 (in Ukrainian).

Gayda S.V., Voytovych I.G., Orikhovskyy R.Ya. (2020). Дослідження технологічних процесів виготовлення ніжок столів обідніх різних конструкцій / Doslidzhennya tekhnolohich-nykh protsesiv vyhotovlennya nizhok stoliv obidnikh riznykh konstruktsiy [Research of technological processes of production of legs of tables of various designs]. Forestry, Forest, Paper and Woodwork-ing Industry 46:36-49, (in Ukrainian). doi: https://doi.org/10.36930/42204604

Gayda S.V., Voytovych I.G. (2017). Durability and stability of elements for beam furniture products made from post-consumer wood are investigated. Bulletin of KhNTUA, 189, 62-70 (in Ukrainian).

Gayda, S.V. (2011). Recycled of post-consumer wood is for the production of particleboard in Ukraine / Proceedings of the XXI International symposium Adhesives in Woodworking Industry (Slovakia, Zvolen Juve 29 – July 01. 2011). TU Zvolen. – P. 108-121.

Gayda, S.V. (2013). Techniques for utilization of post-consumer wood in the production of fuel pellets and briquettes. Proceedings of the XXI International symposium Adhesives in Wood-working Industry (Slovakia, Zvolen Juve 23-26. 2013). TU Zvolen, 119-130.

Grytsak S.A., Gayda S.V. (2020): Comparative analysis of physical and mechanical characteristics of bent elements from different tree species. Forestry, Forest, Paper and Woodworking Industry 46:16-27 (in Ukrainian). doi: https://doi.org/10.36930/42204602

Grytsak S.A., Gayda S.V., Kushpit A.S., Salapak L.V. (2023): Analysis of the efficiency of structural and technological solutions in the production of component units of lattice furniture products. Forestry, Forest, Paper and Woodworking Industry 49: 61-72, (in Ukrainian). doi: https://doi.org/10.36930/42234905

Lesiv, L.E. (2020). Study of the characteristics of combined of blockboards made of post-consumer wood. Forestry, Forest, Paper and Woodworking Industry, 48, 69-86. https://doi.org/10.36930/42224806 (in Ukrainian).

Medvid, L.V. (2018). Systematization of wood waste – the basis of their effective use. Forest-ry, Forest, Paper and Woodworking Industry, 44, 91-104. https://doi.org/10.36930/42184412 (in Ukrainian).

Medvid, L.V. (2021). Post-consumer wood – an additional reserve of raw materials for con-struction materials. Forestry, Forest, Paper and Woodworking Industry, 47, 34-46. https://doi.org/10.36930/42214706 (in Ukrainian).

Murray, A., Skene, K., Haynes, K. (2017). The circular economy: an interdisciplinary explo-ration of the concept and application in a global context. J. Bus. Ethics, № 140(3). Р. 369-380. https://doi.org/10.1007/s10551-015-2693-2.

Orikhovskyy R.Ya., Gayda S.V. (2020). The influence of different parameters of stability of production sites on the efficiency of functioning of woodworking production. Forestry, Forest, Paper and Woodworking Industry 46:49-53 (in Ukrainian). doi: https://doi.org/10.36930/42204605

Podibka, T.I., Kiyko O.A. (2019). A study of the influence of the transverse dimensions of beech of strips on the form of stability of furniture board. Forestry, Forest, Paper and Woodworking Industry, 45, 155-171. https://doi.org/10.36930/42194521 (in Ukrainian).

Project «CircHive. (2022). Developing piloting biodiversity footprinting natural capital ac-counting via a 'beehive' of sectoral hubs, for sustainable transition to a circular EU bioeconomy». Project Schedule: Start Date 01.12.2022 End Date 30.11.2027.

Suominen, T., Kunttu, J., Jasinevičius, G., Tuomasjukka D., Lindner M. (2017). Trade-offs in sustainability impacts of introducing cascade use of wood, Scandinavian Journal of Forest Re-search, 32:7,588-597, https://doi.org/10.1080/02827581.2017.1342859.

Titus, B.D., Brown, K., Helmisaari, HS. et al. (2021). Sustainable forest biomass: a review of current residue harvesting guidelines. Energ Sustain Soc 11, 10. https://doi.org/10.1186/s13705-021-00281-w.

Tuomasjukka, D., Athanassiadis, D., Vis, M. (2017). Threefold sustainability impact as-sessment method comparison for renewable energy value chains, International Journal of Forest En-gineering, 28:2, 116-122, https://doi.org/10.1080/14942119.2017.1318549.