PSI - Issue 59

Andrii Senyk et al. / Procedia Structural Integrity 59 (2024) 508–515 Andrii Senyk et al. / Structural Integrity Procedia 00 (2023) 000 – 000

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  24 1 24 i i r

radius of the base circle , where i x , i y and i r - are respectively the Cartesian coordinates and the radius of the vector of the i-th point of the circlegram drawn from the center of coordinates centered at point O. Then we find the running deviations of the radius i R from the base circle and accept them as deviations from roundness and build the average circlegram shown in Fig. 4. Further, the areas with maximum deviations from the roundness are determined. At the same time, the contact area of the bushing ICS with the cylindrical surface of the kingpin in conjugation with the gap determined by the central angle  85  is taken into account (Kryvyi et al., 2016). In order to simplify the calculations, we accept  90  . This problem is solved by determining the average value of the deviation from roundness in the area of the circlegram bounded by the sector with the central angle p  , followed by sector rotation by, i.e., in the following intervals, which are determined by the following values of the central angle intervals pj  :   4, 4    ;     12,512  ;     12,7 12 ;     4,3 4 ;     512 ,1112 ;     7 12 ,1312 ;     3 4 ,5 4 ;     1112 ,17 12 ;     1312 ,1912 ;     1512 ,2112 ;     17 12 ,2312 ;     1912 ,2512 ;       4 ,27 12 4 2112      .  R

Fig. 4. Average circlegram of deviations from the roundness of rolling kingpin bushings ICS, μ = 20 μm/mm.

In each of these 12 ( q =1, 2, 3…12 ) sectors divided into 10 parts, having the values of deviations from roundness, approximating them with trigonometric Fourier series with 10 members, we determine the mean values q  and scattering dispersions ( ) q D  by the formulas oq q a   and     10 1 ( ) 0,5 i kq q A D , where oq a are the values of the free members of the trigonometric Fourier series. According to the obtained values q  and ( ) q   the location of the maximum values