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EN
Load bearing system simulation is provided for a huge lathe to be renovated. Static and modal analyses are done by FEM. Focus was centerline rising, needed for larger rotor shaft machining. Forces between shaft and three supports were applied. Shaft static stiffness is lowered at 1.15 times only for 600 mm centerline rising. Supports have lost its rigidity at 1.42 times. Concrete pouring into bed cavities is recommended for supports flexibility limitation such as tailstock reinforcement. Robustness of bottom resonances is revealed both for rotor shaft (14.5-18.2 Hz) and supports (42.7-55.4 Hz). Centerline rising is allowed on 300 mm at least. It gives possibility to machine extremely large (up to ø2750 mm) shafts.
PL
W pracy zaproponowano algorytm wyznaczania linii środkowej walca zaobserwowanego metodą przekrojów wzdłużnych i metodą klatki pomiaru walcowości. W celu wyeliminowania wpływu składowych falistości zastosowano filtrację ocen punktów linii środkowej wykorzystującą podejście funkcjonałowe.
EN
The median line of a cylinder measured with the cross-section method is determined on the basis of the centre points of the mean circles of several subsequent cross-sections roundness profiles. Basically, the same principles could be used in the generatrix method. There may be, however, a large scatter of results due to a small number of measurement points with predetermined height coordinates and the occurrence of a waviness component in the cylindricity profile. The method for determination of the median line discussed in this paper involves filtering the measured points by applying the functional approach, as suggested by Krystek in Refs. [2, 3]. It is assumed that the coordinates of the measured median line points minimise the functional (13). One component of the functional assures appropriate approximation of the centres of the mean circles by means of the median line, and the other, termed the cost of curve bending, assures suitable smoothness of the median line eliminating the effect of the waviness components. A similar concept was employed in the bird-cage method, which is actually the combination of the cross-section and generatrix method. In this method, the median line points defined with the cross-section method are taken into account with appropriately greater weight than the points measured with the generatrix method (17). In the examples provided, the median line of a polished roller with a strong waviness component was determined for different cylindricity measurement methods.
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