Large Deflection of Tip Loaded Beam with Differential Transformation Method

Abstract:

This paper deals with large deflection problem of a cantilever beam with a constant section under the action of a transverse tip load. The differential transformation method (DTM) is used to solve the nonlinear differential equation governing the problem. An approach treats trigonometric nonlinearity is used in DTM. The results obtained from DTM are compared with those results obtained by the finite difference method and they agree well.

• Periodical: Advanced Materials Research (Volumes 250-253)
• Pages: 1232-1235
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.250-253.1232
• Online since: May 2011
• Authors: Yi Xiao
• Keywords: Cantilever Beam, Differential Transformation Method, Large Deflection, Nonlinear

References

[1] J.M. Gere and S.P. Timoshenko: Mechanics of Materials (3rd Ed. PWS-Kent, Boston 1990).

[2] R. Frisch-Fay: Flexible Bars (Butterworth, Washington D.C. 1962).

[3] K.E. Bisshopp and D.C. Drucker: Q. Appl. Math. Vol.3 (1945), p.272

[4] Byoung Koo Lee, J.F. Wilson and Sang Jin Oh: Int. J. Non-linear Mech. Vol. 28 (1993), p.579

[5] C.M. Wang and S. Kitipornchai: Eng. Struct. Vol. 14 (1992), p.231

[6] B.W. Golley: Comput. Mech. Appl. Mech. Eng. Vol. 146 (1997), p.127

[7] M. Saje and S. Srpcic: Int. J. Solids Struct. Vol. 21 (1985), p.1181

[8] W.Z. Chien: Appl. Math. Mech. Vol.23 (2002), p.441

[9] X.T. He and S.L. Chen: Appl. Math. Mech. Vol.27 (2006), p.404

[10] J.K. Zhou: Differential Transformation and Its Applications for Electrical Circuits (Huazhong University Press, Wuhan, China 1982), In Chinese.

[11] S.H. Chang and I L. Chang: Appl. Math. Comput. Vol.195 (2008), p.799