A theoretical model for bending and extension of composite beams of open thin-walled geometry is devised. The model is based on a detailed description of the out-of-plane warping and may handle generic open cross-sectional geometries and arbitrary layup configurations. In view of the potential of composite beams to produce useful structural couplings, the analysis is focused on the ability to predict the coupling mechanisms, and draw lines of similarities and differences between such beams and similar thin-walled beams of closed cross sections. [S0021-8936(00)01204-6]
Issue Section:
Technical Papers
1.
Hoff
, N. J.
, “Thin Shells in Aerospace Structures
,” Astron. Aeronaut.
, 1967
5
, pp. 26
–45
.2.
Bull, J. W., 1988 “Finite Element Analysis of Thin-Walled Structures,” Elsevier, Amsterdam, The Netherlands.
3.
Vlasov, V. Z., 1961, “Thin-Walled Elastic Beams,” National Science Foundation, U.S. Department of Commerce, Washington, D.C., and the Israel Program for Scientific Translations, Jerusalem (translated from Russian).
4.
Gjelsvik, A., 1981, “The Theory of Thin Walled Bars,” John Wiley and Sons, New York.
5.
Librescu
, L.
, and Song
, O.
, 1991
, “Behavior of Thin-Walled Beams Made of Advanced Composite Materials and Incorporating Non-Classical Effects
,” Appl. Mech. Rev.
, 44
, No. 11/2
, pp. 174
–180
.6.
Berdichevsky
, V.
, Armanios
, E.
, and Badir
, A.
, 1992
, “Theory of Anisotropic Thin-Walled Closed-Cross-Section Beams
,” Composites Eng.
, 2
, No.5–7
, pp. 411
–432
.7.
Bauchau
, O. A.
, and Chiang
, W.
, 1993
, “Dynamic Analysis of Rotor Flexbeams Based on Nonlinear Anisotropic Shell Models
,” J. Am. Helicopter Soc.
, 38
, No. 1
, pp. 55
–61
.8.
Armanios
, E. A.
, and Badir
, A. M.
, 1995
, “Free Vibration Analysis of Anisotropic Thin-Walled Closed-Section Beams
,” AIAA J.
, 33
No. 10
, pp. 1905
–1910
.9.
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
.10.
Rand
, O.
, 1998
, “Similarities Between Solid and Thin-Walled Composite Beams by Analytic Approach
,” J. Aircr.
, 35
, No. 4
, pp. 604
–615
.11.
Ganguli
, R.
, and Chopra
, I.
, 1997
, “Aeroelastic Tailoring of Composite Couplings and Blade Geometry of a Helicopter Rotor Using Optimization Methods
,” J. Am. Helicopter Soc.
, 42
, No. 3
, pp. 218
–228
.12.
Bauld
, N. R.
, and Tzeng
, L. S.
, 1984
, “A Vlasov Theory for Fiber-Reinforced Beams With Thin-Walled Open Cross-Sections
,” Int. J. Solids Struct.
, 20
, No. 3
, pp. 277
–297
.13.
Chandra
, R.
, and Chopra
, I.
, 1991
, “Experimental and Theoretical Analysis of Composite I—Beam with Elastic Couplings
,” AIAA J.
, 29
, No. 12
, pp. 2197 2206
2197 2206
.14.
Wu
, X. X.
, and Sun
, C. T.
, 1992
, “Simplified Theory for Composite Thin-Walled Beams
,” AIAA J.
30
, No. 12
, pp. 2945
–2951
.15.
Park
, M. S.
, and Byung
, C. L.
, 1996
, “Prediction of Bending Collapse Behaviors of Thin-Walled Open Section Beams
,” Thin-Walled Struct.
, 25
, No. 3
, pp. 185
–206
.16.
Eisenberger
, M.
, 1997
, “Torsional Vibrations of Open and Variable Cross-Section Bars
,” Thin-Walled Struct.
, 28
, No. 3
, pp. 269
–278
.17.
QuanFeng
, W.
, 1997
, “Lateral Buckling of Thin-Walled Open Members With Shear Lag Using Optimization Techniques
,” Int. J. Solids Struct.
, 34
, No. 11
, pp. 1343
–1352
.18.
Kaiser C., and Francescatti, D., 1996 “Theoretical and Experimental Analysis of Composite Beams With Elastic Couplings,” 20th Congress of the International Council of the Aeronautical Sciences, ICAS-96-5.4.4, Sorrento, Napoli, Italy. Sept. 8–13
19.
Ochoa, O. O., and Reddy, J. N., 1992, “Finite Element Analysis of Composite Laminates,” Kluwer, Dordrecht, The Netherlands.
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