A simple and efficient numerical method for determination of deformations and stresses in rotating solid shafts with non-linear strain-hardening
✍ Scribed by You, X. Y. ;You, L. H. ;Zhang, J. J.
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 89 KB
- Volume
- 20
- Category
- Article
- ISSN
- 1069-8299
- DOI
- 10.1002/cnm.708
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✦ Synopsis
Abstract
A simple and efficient numerical method is proposed to investigate deformations and stresses in elastic–plastic rotating solid shafts. Using the assumption of plane strain, the governing equation is derived from the geometric relation, equilibrium equation, deformation theory, von Mises' yield criterion and non‐linear stress–plastic strain relationship. By making use of the information of the second and third derivatives of the radial stress with respect to the radial co‐ordinate and introducing a truncated Taylor's expansion, an iterative algorithm is presented which can solve elastic–plastic problems of rotating solid shafts quickly and effectively. Two numerical examples are given to demonstrate accuracy, efficiency and capacity of the proposed method in both fully elastic and non‐linear strain‐hardening elastic–plastic analyses of rotating solid shafts. Excellent agreement is found between this method and finite element approach. Copyright © 2004 John Wiley & Sons, Ltd.