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Indexed by:期刊论文

Date of Publication:2022-06-29

Journal:力学学报

Affiliation of Author(s):运载工程与力学学部

Volume:45

Issue:3

Page Number:426-433

ISSN No.:0459-1879

Abstract:Detecting locations of contacts is the most important issue for contact
   analysis of a joint in multibody dynamics, which traditionally requires
   the details of the relative motion of bodies in the joint as well as the
   solution of the resulted complementarity problem. However, clearances in
   a joint may be so tiny that it is hard to distinguish the relative
   displacements from computational errors. In this case, the contact
   analysis becomes extremely difficult due to the serious numerical
   ill-conditioned characteristics of traditional methods. In this paper,
   with the consideration of the structural details of deep groove ball
   bearing, we found the kinematic conditions for a ball to be
   simultaneously in contact with the inner and outer races, as well as the
   characteristic of contact forces on the ball that is carrying a load.
   Consequently, we present a methodology, in which the forces and
   locations of contacts can be obtained by means of joint reaction forces
   instead of relative motions. By the proposed method, the difficulties
   arising from microscopic relative motions and nonlinear complementarity
   problems are avoided, and the numerical efficiency is improved.
   Numerical examples prove the validity of the method.

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