Differential transformation method for buckling behaviour of a nonlinear beam

Chieh-Li Chen, Wei Zu Yeh, Ming Jyi Jang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, the differential transformation method with a systematic procedure is applied to solve nonlinear two-point boundary value problems in solid mechanics. Two types of nonlinear boundary value problem are considered in this study, i.e., the deflective of a tip-loaded nonlinear cantilever beam, and the nonlinear buckling of a simply supported beam without and with imperfection. The results show that the solutions solved by differential transformation in comparison with exact solutions can enhance the computational efficiency and accuracy for different cases studied in solid mechanics.

Original languageEnglish
Title of host publicationProceedings of the IASTED International Conference on Applied Simulation and Modelling
EditorsM.H. Hamza
Pages232-237
Number of pages6
Publication statusPublished - 2004 Dec 1
EventProceedings of the IASTED International Conference on Applied Simulation and Modelling - Rhodes, Greece
Duration: 2004 Jun 282004 Jun 30

Publication series

NameProceedings of the IASTED International Conference on Applied Simulation and Modelling

Other

OtherProceedings of the IASTED International Conference on Applied Simulation and Modelling
CountryGreece
CityRhodes
Period04-06-2804-06-30

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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  • Cite this

    Chen, C-L., Yeh, W. Z., & Jang, M. J. (2004). Differential transformation method for buckling behaviour of a nonlinear beam. In M. H. Hamza (Ed.), Proceedings of the IASTED International Conference on Applied Simulation and Modelling (pp. 232-237). [443-029] (Proceedings of the IASTED International Conference on Applied Simulation and Modelling).