Analysis of Anisotropic Beams: An Analytic Approach

[+] Author and Article Information
V. Rovenski, O. Rand

Faculty of Aerospace Engineering, Technion-ITT, Haifa 32000, Israel

J. Appl. Mech 68(4), 674-678 (Nov 08, 2000) (5 pages) doi:10.1115/1.1360183 History: Received April 20, 2000; Revised November 08, 2000
Copyright © 2001 by ASME
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Rand, O., and Rovenski, V., 2000, “A Closed Form Solution for Laminated Composite Beams,” Proceedings of the American Helicopter Society 56th Annual Forum, Virginia, May, No. 00015.
Savoia,  M., and Reddy,  J. N., 1992, “A Variational Approach to Three-Dimensional Elasticity Solutions of Laminated Composite Beams,” J. Appl. Mech., 59, pp. S166–S175.
Whitney,  J. M., 1985, “Elasticity Analysis of Orthotropic Beams Under Concentrated Loads,” Compos. Sci. Technol., 22, pp. 167–184.
Makeev,  A., and Armanios,  E. A., 1999, “A Simple Elasticity Solution for Predicting Interlaminar Stresses in Laminated Composites,” J. Am. Helicopter Soc., 44, No. 2, pp. 94–100.
Rovenski, V., and Rand, O., 2000, “Analysis of Laminated Composite Beams—An Analytic Approach,” Proceedings of the 40th Israel Annual Conference on Aerospace Sciences, Tel-Aviv, Feb., pp. 467–478.
Rand,  O., 1994, “Nonlinear Analysis of Orthotropic Beams of Solid Cross-Sections,” Composite Structures, 29, pp. 27–45.
Rand,  O., 1998, “Fundamental Closed-Form Solutions for Solid and Thin-Walled Composite Beams Including a Complete Out-of-Plane Warping Model,” Int. J. Solids Struct., 35, No. 21, pp. 2775–2793.


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Composite beam notation; (a) general view, (b) a rectangular cross section
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The twist, θ, and the bending curvature k2, as functions of the layup angle, t, due to torsional moment
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The stress component τxz(Mt=1 N/m)
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The stress component τxy(Mt=1 N/m)
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Convergence path as a function of the number of terms, m, (t=15 deg torsional moment)
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The stress component τxy for X̄2=cos(2πx/d)−cos(4πx/d)




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