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

Fingerprint

Boundary value problems
Buckling
Mechanics
Cantilever beams
Computational efficiency
Defects

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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).
Chen, Chieh-Li ; Yeh, Wei Zu ; Jang, Ming Jyi. / Differential transformation method for buckling behaviour of a nonlinear beam. Proceedings of the IASTED International Conference on Applied Simulation and Modelling. editor / M.H. Hamza. 2004. pp. 232-237 (Proceedings of the IASTED International Conference on Applied Simulation and Modelling).
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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.",
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Chen, C-L, Yeh, WZ & Jang, MJ 2004, Differential transformation method for buckling behaviour of a nonlinear beam. in MH Hamza (ed.), Proceedings of the IASTED International Conference on Applied Simulation and Modelling., 443-029, Proceedings of the IASTED International Conference on Applied Simulation and Modelling, pp. 232-237, Proceedings of the IASTED International Conference on Applied Simulation and Modelling, Rhodes, Greece, 04-06-28.

Differential transformation method for buckling behaviour of a nonlinear beam. / Chen, Chieh-Li; Yeh, Wei Zu; Jang, Ming Jyi.

Proceedings of the IASTED International Conference on Applied Simulation and Modelling. ed. / M.H. Hamza. 2004. p. 232-237 443-029 (Proceedings of the IASTED International Conference on Applied Simulation and Modelling).

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

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T1 - Differential transformation method for buckling behaviour of a nonlinear beam

AU - Chen, Chieh-Li

AU - Yeh, Wei Zu

AU - Jang, Ming Jyi

PY - 2004/12/1

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N2 - 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.

AB - 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.

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Chen C-L, Yeh WZ, Jang MJ. Differential transformation method for buckling behaviour of a nonlinear beam. In Hamza MH, editor, Proceedings of the IASTED International Conference on Applied Simulation and Modelling. 2004. p. 232-237. 443-029. (Proceedings of the IASTED International Conference on Applied Simulation and Modelling).