One of the best practical methods to machine the air compressor screw pairs is milling or grinding by disc tools. The mathematics involved in disc tool profiling is quite complex and requires representing the machined surface by mathematical equations without any singular points and undercutting. From a technical perspective, this article proposes the disc tool profiling integrated solution for machining complex profile screws from their reverse engineering data, which contains crucial issues such as machining deviation evaluation due to undercutting, appropriate tool position setting. The disc tool surface designed by the proposed method is highly accurate, leading the RMS error of the machined surface is less than 0.0201 mm. A difference of the angle, formed by the disc tool axis and the workpiece axis, less than 0.16°, is acceptable in air compressor technology, which leads to a machined surface RMS deviation of less than 0.0186 mm.
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The criteria of undercutting and crest width of wormwheel teeth are presented in the paper as well as the calculations of influence of pressure angle on occurrence of these phenomena. Elaborated results indicate, that the selection of pressure angle must be related to the tooth addendum modification co-efficient and in a lesser degree, to the lead angle.
W artykule przedstawiono wyniki badań teoretycznych podcięcia belek dwuteowych przy podporach na wartości momentu krytycznego zwichrzenia, tym samym na nośność belek na zginanie. Przeanalizowano zwichrzenie typowych belek dwuteowych dla różnych rodzajów głębokości i długości podcięć. Uwzględniono różne rodzaje obciążeń i zmianę ich ustawień na wysokości i przekroju. Obliczenia wykonano przy pomocy programu SOFiSTiK odpowiednio modelując strefy podporowe belek. Wyniki analiz przedstawiono na wykresach.
EN
The article presents results of theoretical research regarding undercutting of I-beams at the base, for the values of critical twisting torque, and beam capacity within the scope of bending. The analyzed twists of typical I-beams has been considered for several depths and lengths of the undercuts. A variety of load types has been taken into account, as well variability in their position – both in height, as well as in crosssections. Calculations have been executed with the use of SOF iST iK software bundle, which modeled the support zones of the beams. Results of the analysis have been presented by the charts.
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The choice of exploitation parameters for a given pump construction decides about its maximum efficiency. It is possible to adopt a mono-criterion or a multi-criteria approach in order to optimize the pump efficiency. The optimization process requires calculating volumetric efficiency, hydraulic and mechanical efficiency and total efficiency. The application of discrete optimization logical methods to analyze the degree of importance of construction and/or exploitation parameters of a gear pump after tooth root undercutting is presented in this study.
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