Application of Monte Carlo simulation for estimation of uncertainty of four-point roundness measurements of rolls

Zeng

et al. 2018

Meas. Sci. Technol.

A four-point error separation technique integrating three-point roundness and two-point straightness error separations is proposed to measure and reconstruct a cylindrical profile for the accurate evaluation of cylindricity. Four probes mounted onto two sections in the probe carriage target the surface of the cylinder to detect the differential vector of the least-squares centers in two adjacent cross-sectional profiles of the cylinder. The vector of the least-squares center in each cross-sectional profile is extracted by accumulation. The spatial curved median line of the cylinder is determined by fitting the extracted least-squares centers. Theoretical analysis and numerical validation prove that radial error motions of the spindle and straightness error motions of the slider are eliminated during reconstruction of the cylindrical profile. The influence of tilt error motions of the spindle on the accuracy of error separation can be weakened by reducing the distance between the two sections in which the four probes are located. The spatial median line profile of the cylinder is accurately determined even if the error motions of the spindle are not repeatable in each revolution. An experimental system was constructed to perform comparison experiments. The results validate the fact that the technique has higher precision in reconstructing cylindrical profiles owing to its robust anti-interference ability. The technique is suitable for in situ measurement of cylindricity under unrepeatable radial error motions of the spindle and indeterminate straightness error motions of the slider.

Section: Discussionmentioning

confidence: 99%

Four-point error separation technique for cylindricity

Zeng

et al. 2018

Meas. Sci. Technol.

Mechanical Systems and Signal Processing

“…This measurement ensured that the acquired roundness profile was the actual roundness profile of the inner ring in operating conditions. The roundness profile was measured utilizing a four-point method [42]. The bearing was disassembled to enable modification of the bearing geometry.…”

Section: Test Rig and Measurement Setup For Experimental Validationmentioning

confidence: 99%

Development and verification of frequency domain solution methods for rotor-bearing system responses caused by rolling element bearing waviness

Choudhury

Kurvinen

Viitala

et al. 2022

“…The roundness profile was measured utilizing the four-point method. [18,23,24]. The four-point method is able to differentiate the roundness profile and the error motion of the workpiece in a reliable way.…”

Section: Bearing Waviness Measurementmentioning

confidence: 99%

Simulation of Subcritical Vibrations of a Large Flexible Rotor with Varying Spherical Roller Bearing Clearance and Roundness Profiles

et al. 2020

In large rotor-bearing systems, the rolling element bearings act as a considerable source of subcritical vibration excitation. Simulation of such rotor bearing systems contains major sources of uncertainty contributing to the excitation, namely the roundness profile of the bearing inner ring and the clearance of the bearing. In the present study, a simulation approach was prepared to investigate carefully the effect of varying roundness profile and clearance on the subcritical vibration excitation. The FEM-based rotor-bearing system simulation model included a detailed description of the bearings and asymmetricity of the rotor. The simulation results were compared to measured responses for validation. The results suggest that the simulation model was able to capture the response of the rotor within a reasonable accuracy compared to the measured responses. The bearing clearance was observed to have a major effect on the subcritical resonance response amplitudes. In addition, the simulation model confirmed that the resonances of the 3rd and 4th harmonic vibration components in addition to the well-known 2nd harmonic resonance (half-critical resonance) can be significantly high and should thus be taken into account already in the design phase of large subcritical rotors.