Machine tools are built based on cast-iron bodies. Cast iron well dumps down vibrations and is dimensionally stable. Therefore, many conventional machine tools are modernized and modified into CNC machine tools based on the seasoned old bodies of those machine tools. Nevertheless, CNC machine tools are also manufactured based on polymer concrete, which vibration damping ability is even better. On the other hand, attempts made in the past by leading machine tool manufacturers to use welded frames in CNC machine tools failed. The revival of interest in welded frames was spurred by economic considerations, as steel systems are much thinner compared to cast-iron ones. They are able to carry the same loads. The construction of CNC machine tools with a welded steel frame undertaken at the Institute of Mechanical Technologies (ITM) of the Czestochowa University of Technology is an attempt to solve this constructional problem. The machine tool frame was designed with use of CAD solid works system. The ultimate success of using the welded frame is determined not only by the frame itself, but also generally the design of the machine tool and its operation parameters. The welded frame was used for a high-accuracy three-axis milling machine. In this respect, it is equal of professional machine tools manufactured by reputed companies. It can be either a production machine tool or a test stand.
The article has presented a numerical method for determining the gear ratio function and the gearing line of the toothed gear. The described algorithm, explained on the example of planar gearing, can be used also for the analysis of spatial gearings. Assembly errors have been allowed for in the gear model.
Original scientific paper The article presents a mathematical model for the determination of the tooth surface of the wormwheel machined by either the tangential or the radial method. Wormwheel machining with a special hob and a modular hob is considered. Different methods of solving the task are presented. This includes also a numerical method that requires the envelope condition to be solved. The described discussion is general in nature. The tool action surface, built based on the worm mating with the wormwheel in the worm gear, may have an arbitrary profile. In the technological gear, made up by the tool and the wormwheel, the rotary motion of the wormwheel was exchanged for its rectilinear motion. The tool positioning errors in the machining process were taken into account.
Keywords: envelope method; worm gear; wormwheel
Analiza točnosti ozubljenja pužnog kolaIzvorni znanstveni članak U radu se predstavlja matematički model za određivanje površine zubi pužnog kola obrađenog bilo tangencijalnom bilo radijalnom metodom. Razmotrena je obrada pužnog kola specijalnim pužnim glodalom i modularnim pužnim glodalom. Predstavljene su različite metode rješavanja zadatka uključujući i numeričku metodu koja zahtijeva rješenje stanja ovojnice. Opisana rasprava je općenite prirode. Radna površina alata, izrađena na osnovu puža spojenog s pužnim kolom u pužni zupčanik, može biti proizvoljnog profila. U tehnološkom zupčaniku, sastavljenog od alata i pužnog kola, rotacijsko gibanje pužnog kola je zamijenjeno pravocrtnim gibanjem. U obzir su uzete greške pozicioniranja alata u postupku obrade.
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