NDLI: Vibrations of a deformable ball rolling on a lubricated rigid half-space

Content Provider	Springer Nature Link
Author	Pavko, M. Ya.
Copyright Year	2011
Abstract	The problem of vertical vibrations of a deformable ball rolling on a lubricated rigid half-space has been stated and numerically solved. It is assumed that the force, which causes the ball’s elastic deformation in the zone of lubricated concentrated contact, is applied to the ball. The problem’s mathematical model is reduced to the system of nonstationary integrodifferential equations and inequalities with initial and boundary conditions. The computational algorithm of the problem’s solution was based on Newton’s method and application of an implicit scheme to approximate nonstationary equations. Vibrational solutions, which describe the behavior of the system consisting of the ball and the lubrication layer both under excitation of the initial conditions and under the excitation force, have been obtained. It is shown that as opposed to the traditional elastohydrodynamic lubrication theory approach, in which contacting bodies are considered as massless ones, taking the ball’s mass and corresponding inertia into account makes it possible to extend the category of obtained solutions and investigate vibrational processes in the contact zone. The results may be used to analyze processes occurring in lubricated concentrated contacts of gears and rolling bearings.
Starting Page	261
Ending Page	271
Page Count	11
File Format	PDF
ISSN	10526188
Journal	Journal of Machinery Manufacture and Reliability
Volume Number	40
Issue Number	3
e-ISSN	19349394
Language	English
Publisher	Allerton Press, Inc.
Publisher Date	2011-06-17
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Manufacturing, Machines, Tools
Content Type	Text
Resource Type	Article
Subject	Industrial and Manufacturing Engineering Mechanical Engineering Safety, Risk, Reliability and Quality

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