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Mathematical Problems in Engineering
Volume 2015, Article ID 157951, 7 pages
http://dx.doi.org/10.1155/2015/157951
Research Article

Study and Simulation of Deformation Mechanics Modeling of Flexible Workpiece Processing by Rayleigh-Ritz Method

1School of Information Engineering, Guangdong University of Technology, No. 100 Waihuanxi Road, Guangzhou Higher Education Mega Center, Mail Box B65, Guangdong 510006, China
2HSBC Software Development (Guangdong) Limited, Guangzhou, Guangdong, China

Received 8 May 2014; Accepted 17 June 2014

Academic Editor: Yoshinori Hayafuji

Copyright © 2015 Yaohua Deng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper discusses the calculation problems of bending deformation of FWP processing. Take three axis CNC machining as an example, to establish mechanics model of flexible workpiece processing process. The flexible workpiece balance equation is a two-dimensional partial differential equation, to solve the problem of flexible workpiece bending deformation using Rayleigh-Ritz method and designing the test function of bending deformation of flexible workpiece. By satisfying the minimum potential energy condition of FWP processing to work out the approximate solution of bending deformation of flexible workpiece, find out the relationship between material properties of flexible piece, acting force , and deformation value. Finally, the rectangle flexible workpiece which is made up of polyurethane sponge is selected as an experiment subject. The results show that the average relative deviation between theoretical value and observed value is only 5.51%. It is proved that the bending deformation test function satisfies the actual deformation calculation requirements.