By Tedric A. Harris, Michael N. Kotzalas
For the final 4 a long time, Tedric Harris' Rolling Bearing research has been the "bible" for engineers excited by rolling bearing know-how. Why accomplish that many scholars and training engineers depend upon this ebook? the answer's basic: due to its whole assurance from low- to high-speed purposes and whole derivations of the underlying arithmetic from a pace-setter within the box. The 5th variation of this vintage reference is split comfortably into volumes, every one thinking about a really expert zone of bearing know-how. this selection enables you to choose the assurance that's most fitted in your needs.The moment of 2 books, complicated recommendations of Bearing know-how steps up the extent to extra dynamic and complicated loading, extra severe working stipulations, and higher-speed purposes. The authors research numerous issues which are precise to the ebook, together with mathematical relationships for inner load distribution less than stipulations of excessive velocity, mixed radial, axial, and second loading, in addition to the results of raceway and curler profiling. in addition they delve into the mathematical improvement of rolling element-raceway lubricant movie thickness and speak to friction, the stress-life process for calculating bearing fatigue persistence, and the consequences of shaft and assisting constitution flexure on bearing loading and deflection.Advanced suggestions of Bearing know-how is the suitable reduction for examining advanced functionality and fatigue-life phenomena in complex purposes.
Read or Download Advanced Concepts of Bearing Technology,: Rolling Bearing Analysis, Fifth Edition (Rolling Bearing Analysis, Fifth Edtion) PDF
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Additional resources for Advanced Concepts of Bearing Technology,: Rolling Bearing Analysis, Fifth Edition (Rolling Bearing Analysis, Fifth Edtion)
Deflections cannot be determined without considering these contact deformations. Therefore, the loading of a rolling element at angular position cj depends on the relative radial clearance. The relative radial approach of the rings includes the translatory movement of the center of the outer ring relative to the initial center of that ring, whose position is fixed in space. 12, the relative radial approach is related to the rolling element load as follows: & Qj ¼ K ðdj À rj Þn 0 dj > r j dj r j ' ð1:117Þ where rj is the radial clearance at angular position cj.
Starting with Thomas and Hoersch , several researchers have advanced the contact solution of Hertz for the nonideal situations. 85 can be integrated to determine the effect of contact pressure at a given node, i, on the deflection at another node, j. This is done by the use of influence coefficients, Dij: 2 3 À Á qﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ À Á 2 À Á2ﬃ þ g þ y þ g þ c y À y À y þ x À x À Á 6 i j i j i j 7 Dij ¼ xi À xj þ c ln4À Á qﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ À Á 2 À Á2ﬃ5 yi À y j À g þ yi À yj À g þ xi À xj þ c 2 3 À Á qﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ À Á2 À Á2ﬃ yi À yj þ g þ xi À xj þ c 7 À Á 6 xi À xj þ c þ þ yi À yj þ g ln4À Á qﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ À Á À Á ﬃ5 xi À xj À c þ yi À yj þ g 2 þ xi À xj À c 2 2 3 À Á qﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ À Á2 À Á2ﬃ yi À yj À g þ xi À xj À c 7 À Á 6 y i À yj À g þ þ xi À xj À c ln4À Á qﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ À Á À Á ﬃ5 yi À yj þ g þ yi À yj þ g 2 þ xi À xj À c 2 2 3 À Á qﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ À Á À Áﬃ yi À yj À g 2 þ xi À xj À c 2 À Á 6 xi À xj À c þ 7 þ yi À yj À g ln4À Á qﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ À Á2 À Á2ﬃ5 xi À xj þ c þ yi À yj À g þ xi À xj þ c ð1:86Þ Using the influence coefficients, the interference of two bodies in contact with a given approach d is given by ( y2 d À zj À y 2 ) i¼n 1 À j21 1 À j22 X À þ Dij sj ¼ 0 pE1 pE2 i¼1 ð1:87Þ where zj is the drop at location j from the highest point on the body due to profiling, and the term hd À zj À (y2 / 2)ryi ¼ 0 when the computed value is less than zero.
The deflections considered in the determination of load distribution were contact deformations. This assumption is an excellent approximation for most bearing applications. In some radial bearing applications, however, the outer ring of the bearing may be supported at one or two azimuth positions only, and the shaft on which the inner ring is positioned may be hollow. 23, occurs in the planet gear bearings of a planetary gear power transmission system, and was analyzed by Jones and Harris .