scholarly journals Methods for modeling the active surface of grinding wheels

Mechanik ◽  
2018 ◽  
Vol 91 (10) ◽  
pp. 907-914 ◽  
Author(s):  
Wojciech Kacalak ◽  
Filip Szafraniec ◽  
Dariusz Lipiński

This paper many different methods of generating the topography of the grinding wheel surface and the methodology for assessing the compatibility of models with the surface of real tools was presented. The methodology was indicated that certain features regarding the shape and position of the highest vertices are decisive for assessing the model’s conformity with the real surface of the grinding wheel. The significance of not only the form of the distribution of the vertices of the grains was emphasized, but also the significance of the fragment of the probability density function relating to the highest vertices and the autocorrelation of the vertex position as the most important feature, which often are overlooked in the models described in the literature.

Author(s):  
Boris Guljaš ◽  
C. E. M. Pearce ◽  
Josip Pečarić

AbstractAn integral inequality is established involving a probability density function on the real line and its first two derivatives. This generalizes an earlier result of Sato and Watari. If f denotes the probability density function concerned, the inequality we prove is thatunder the conditions β > α 1 and 1/(β+1) < γ ≤ 1.


Radiocarbon ◽  
2004 ◽  
Vol 46 (2) ◽  
pp. 997-1004 ◽  
Author(s):  
Adam Michczyński

The influence of the calibration curve on the statistical inference of time intervals was investigated. For this purpose, the calculation of the summed probability density function was used. Computer simulations were done for batches of 11 samples, each time uniformly covering 200-yr time intervals. The results show that the calibration curve causes the summed probability density function of a group to cover a wider interval than the real-time interval of the phenomenon. Moreover, the estimated time interval may be often shifted in relation to the real-time interval.


2016 ◽  
Vol 13 (9) ◽  
pp. 44-52 ◽  
Author(s):  
Xiaolu Wang ◽  
Lin Mei ◽  
Zhenduo Wang ◽  
Naitong Zhang

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