Modeling the shape of wheat kernels with the use of solids of revolution

• Autorzy: Anders Andrzej

Identyfikatory

DOI

10.2478/agriceng-2023-0014

Warianty tytułu

PL

Modelowanie kształtu ziarna pszenicy za pomocą brył obrotowych

• Języki publikacji: EN

Abstrakty

EN

Numerical models approximating a kernel shape in wheat cv. Eta were developed with the use of a 3D scanner and applied to analyze selected geometric properties of wheat kernels. Geometric models were built in ScanStudio HD PRO, FreeCAD, and MeshLab programs. Ten geometric models describing the shape of wheat kernels were generated with the use of basic geometric figures and drawing tools in FreeCAD. The geometry of numerical models and geometric models was compared in GOM Inspect. The surface area, volume, and accurate geometric dimensions of the developed models were determined. Deviations in the dimensions of geometric models were mapped. The relative error of surface area measurements was the lowest in solid of revolution obtained by rotating a polygonal chain around an axis at 0.36%. The relative error of measurement reached 4.44% in sphere and around 5% in solid of revolution obtained by rotating two curves around an axis and solid of revolution obtained by rotating three curves around an axis. The relative error of volume measurements was the lowest in rotational ellipsoid (spheroid) and ellipsoid at 3.58% and 4.48%, respectively. The developed geometric models can be used in research and design.

PL

Celem pracy było zbudowanie za pomocą skanera 3D modeli numerycznych ziarna pszenicy odmiany Eta oraz wykorzystanie tych modeli do analizy wybranych cech geometrycznych. Do budowy modeli geometrycznych wykorzystano programy komputerowe ScanStudio HD PRO, FreeCAD oraz MeshLab. Za pomocą podstawowych brył geometrycznych oraz dostępnych funkcji rysunkowych w programie FreeCAD zbudowano dziesięć modeli geometrycznych o kształcie zbliżonym do ziarna pszenicy. Porównanie geometrii modeli numerycznych i modeli geometrycznych wykonano programem GOM Inspect. Określano pole powierzchni, objętość oraz dokładne wymiary geometryczne modeli. Wykonano mapy odchyłek wymiarów dla badanych modeli geometrycznych. Błąd względny pomiaru pola powierzchni dla modelu geometrycznego zbudowanego jako bryła obrotowa na podstawie obrysu wykonanego za pomocą łamanej był najmniejszy i wynosił 0,36%. Błąd względny dla kuli wynosił 4,44%. Błąd względny dla modelu geometrycznego zbudowanego jako bryła obrotowa z wykorzystaniem obrysu wykonanego za pomocą dwóch łuków oraz modelu geometrycznego zbudowanego jako bryła obrotowa z wykorzystaniem obrysu wykonanego za pomocą trzech łuków wynosił około 5%. Błąd metody pomiaru objętości jest najmniejszy dla elipsoidy obrotowej oraz elipsoidy i wynosił odpowiednio 3,58% i 4,48%. Zaproponowane modele geometryczne można wykorzystać w pracach badawczych i projektowych.

Słowa kluczowe

EN

3D scanner; geometric model; wheat kernel; solid of revolution

PL

skaner 3D; model geometryczny; ziarno pszenicy; bryła obrotowa

• Wydawca: Polskie Towarzystwo Inżynierii Rolniczej
• Czasopismo: Agricultural Engineering
• Rocznik: 2023
• Tom: Vol. 27, No. 1
• Strony: 187--202
• Opis fizyczny: Bibliogr. 38 poz., rys., tab.

Twórcy

autor

Anders Andrzej

• Department of Heavy-Duty Machines and Research Methodology, University of Warmia and Mazury in Olsztyn, ul. M. Oczapowskiego 11, 10-736 Olsztyn, Poland

• https://orcid.org/0000-0001-6950-4141

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).