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NON–LOCAL
FRICTION SURFACE EFFECT AND APPROXIMATE SOLUTION OF DRAWING DEFORMATION
WITH VIBRATION
CAI Gaipin1,2 WENG
Haishan1 JIANG Zhihong2 LUO Xiaoyan2
(1. School of Mechanical Engineering,
University of Science and Technology Beijing, Beijing 100083;
2. School of Mechanical and
Electronic Engineering Jiangxi University of Science and
Technology,Ganzhou 341000)
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Abstract: According
to the non-local friction theorem, the me- chanical equilibrium
differential equation is built. After some non-local infection
coefficients are calculated and the plastic deformation stress and
strain hypothesis is used, the approximate solution of the equation and
the friction between material and die are obtained. With the given
drawing technical parameters, the mechanic performance parameters and
the non-local infection coefficients(r, a0, e 0, C0), and many results
calculated are finished by using Matlab software, the surface effect is
for- med in special conditions, and the infection elements of surface
effect are mainly frequency, amplitude of vibration and the non-local
infection coefficients, and the hypothesis of surface effect qualitative
analysis formerly are validated. Then the theoretical preparatory
research of surface effect mechanism of drawing deformation with
vibration are realized.
Key words: Vibration
Drawing Non-local friction
Non-local infection coefficient Surface effect
CLC No: TG365
江西省自然科学基金资助项目(0150029).Received 20050710,received
in revised form 20060220
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