Identification and analysis of optimal method parameters of the V-block waviness measurements

Abstract

Abstract. At the Kielce University of Technology, a new method of waviness measurement of cylindrical surfaces has been developed. The article deals with the research conducted to find the optimal V-block method parameters that can be used in a measuring device applied to waviness measurement of cylindrical surfaces. In order to keep high measuring accuracy of V-block method, all detectability coefficients which are function of V-block method parameters should not be negative. For this purpose computations were carried out in order to find such angular parameters that can be easily applied in measuring device and allow for obtaining positive detectability coefficients. Results of the study presented in this paper make it possible to modify the design of the measuring device. According to the authors, it will result in increasing the accuracy of V-block waviness measurement of cylindrical parts.Key words: V-block method, waviness measurement, detectability coefficient. Identification and analysis of optimal method parameters of the V-block waviness measurementsS. ADAMCZAK, P. ZMARZŁY* and K. STĘPIEŃFaculty of Mechatronics and Mechanical Engineering, Kielce University of Technology, 7 1000-lecia P. P. Ave., PL-25314 Kielce, Poland ments can also be used to measure cylindricity using different measuring strategy [8,9]. Most of them are suitable for measuring form deviations of small cylindrical elements under laboratory conditions [10]. The growing demands of heavy industry require developing measuring methods that can be performed in-situ, for example, directly on machine tool. For such measurements the V-block method can be used. The first person to conduct research related to the V-block method was a German scientist Georg von Berndt at the beginning of the twentieth century. Boerdijk used harmonic analysis based on trigonometric Fourier series for evaluation of roundness profile measured by the V-block method. An interesting measuring system was developed by Witzke [11]. The measuring device proposed consisted of two V-blocks and an inductive probe. Furthermore, Witzke also carried out computer simulations of the V-block angles. At that time research on the change of the sensor position relative to the axis of the V-block was carried out, which resulted in the introduction of non-symmetric three-point method. In consequence, a number of mathematical models used to complex analysis and to increase V-block method accuracy were developed. Interesting in-situ roundness measuring mechanism based on V-block method was described in [12]. The measuring device is composed of a V-block and an adaptive telescopic support and can be used to measure roundness deviation of crankshaft pin journals directly on grinding machine. Research work related with the application of the V-block method for roundness measurement was also carried out in USA [13].Above mentioned research works have been related with the application of the V-block method to assess roundness measurement only, not to assess waviness, which is more difficult ta...

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