文档介绍：Available online at hanism
and
Machine Theory
Mechanism and Machine Theory 43 (2008) 1065–1086
ate/mechmt
Contact problem and numeric method of a ary drive
with small teeth number difference
Shuting Li *
Nabtesco Co. LTD., Oak-hills No. 202, Heki-cho 7028-2, TSU-shi, Mie-ken 514-1138, Japan
Received 15 July 2007; received in revised form 2 October 2007; accepted 16 October 2007
Available online 3 December 2007
Abstract
This paper deals with a theoretical study on contact problem and numeric analysis of a ary drive with small teeth
number difference (PDSTD). A mechanics model and finite element method (FEM) solution are presented in this paper to
conduct three-dimensional (3D) contact analysis and load calculations of the PDSTD through developing concepts of the
mathematical programming method [. Conry, A. Serireg, A mathematical programming method for design of elastic
bodies in contact, Transactions of ASME, Journal of Applied Mechanics 38 (6) (1971) 387–392] and finite element method
[S. Li, Gear contact model and loaded tooth contact analysis of a three-dimensional, thin-rimmed gear, Transactions of
ASME, Journal of Mechanical Design 124 (3) (2002) 511–517; S. Li, Finite element analyses for contact strength and bend-
ing strength of a pair of spur gears with machining errors, assembly errors and tooth modifications, Mechanism and
Machine Theory 42 (1) (2007) 88–114] to solve a plex engineering contact problem. FEM programs are devel-
oped through many years’ efforts. Contact states of teeth, pins and bearing rollers of the PDSTD are made clear through
performing contact analysis of the PDSTD with the developed FEM programs. It is found that there are only four pairs of
teeth in contact for the PDSTD used as research object when it is loaded with a torque 15 kg m. It is also found that these
four pairs of teeth are not located in the offset direction of the external gear. They are located at an angular position of 20–
30° away from