Nonlinear Model of Thin-Walled Composite Beams with Moderate Deflections

Abstract:

A geometrically nonlinear model for thin-walled, single-cell composite beams is developed by using variational formulation and the variational-asympotical method. The structural modeling is split into two parts: a two-dimensional analysis over the cross section, and a geometrically nonlinear analysis of a beam along the beam span. The nonlinear model is based on the assumption of moderate beam deflection, accounting for the pitch angle and extends the linear analysis model for anisotropic thin-walled beams. By employing the Galerkin’s method, an nonlinear algebraic equations is derived and then solved by means of an incremental Newton-Raphson method. Numerical results are obtained for one cantilevered box beam: Circumferentially Uniform Stiffness(CUS), under external load to investigate the effect of geometric nonlinearity and the effects of the fiber orientation, laminate stacking sequence, are also addressed.

• Periodical: Applied Mechanics and Materials (Volumes 29-32)
• Pages: 22-27
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.29-32.22
• Online since: August 2010
• Authors: Yong Sheng Ren, Xiang Hong Du
• Keywords: Composite, Coupling Static Deformation, Nonlinear Theory, Thin-Walled Beams

References

[1] M. H. Hansen: Wind Energy, Vol. 10 (2007), p.551.

[2] D.H. Hodges, E.H. Dowell: Technical Report TN D-7818, NASA( 1974).

[3] P. P. Friedmann: Journal of the American Helicopter Society, Vol. 21(1976), p.17.

[4] P. P. Friedmann, in: Proc. of AIAA/ASME/SAE 16thStructural Dynamics and Materials Conf. M75-13863, (1975).

[5] S. B. R. Kottapalli, P. P. Friedmann: AIAA Journal, Vol. 17(1979), p.1381.

[6] B. S. Kallesoe: Wind Energy, Vol. 10(2007), p.209.

[7] K. Bhaskar, L. Librescu: Int. J. Eng. Sci., Vol. 33(1995), p.1331.

[8] Q. H. Shi, J. W. Xiang: Engineering Mechanics (in Chinese), Vol. 25(2008), p.86.

[9] Q. H. Shi, J. W. Xiang: Journal of Beijing University of Aeronautics and Astronautics (in Chinese), Vol. 37(2007), p.50.

[10] T. P. Vo, J. Lee: Computers and Structures, Vol. 87(2009), p.236.

[11] T. P. Vo, J. Lee: International Journal of Mechanical Sciences, Vol. 52(2010), p.65.

[12] R. W. Rehfield, in: Proceedings of the Seventh DoD/NASA Conference on Fibrous Composites in Structural Design. Denver, CO, Grant NAG-2-238, (1985).

[13] C. E. S. Cesnik, D. H. Hodges, V. G. Sutyrin: AIAA Journal, Vol. 34(1996), p. (1913).

[14] J. S. Park, J. H. Kim: Composites: Part B, Vol. 39(2008), p.1011.

[15] E. A. Armanios, A. M. Badir: AIAA Journal, Vol. 33(1995), p. (1905).

[16] A. D. Stemple, S. W. Lee: Int. J. Numer. Meth. Eng., Vol. 28(1989), p.2143.