Aggarwal, H.R.. and Cranch, E. T. (1967) “ATheory of Torsional and Coupled Bending Torsional Waves in Thin-Walled Open Section Beams,” *Journal of Appl. Mech.*, Trans. ASME, Vol. 34, No. 2, pp. 337–343.

Ambrosini, R. D., Riera R. D. and Danesi, R. F. (1995) “Dynamic Analysis of Thin-Walled and Variable Open Section Beams with Shear Flexibility,”

*International Journal for Numerical Methods in Engineering*, Vol. 38, pp. 2867–2885.

CrossRefAscione, L. and Feo, L. (1995) “On the Mechanical Behavior of Thin-Walled Beams of Open Cross-Section: An Elastic Non-linear Theory,” *International Journal of Engineering Anal. Design*, Vol. 2, pp. 14–34.

Attard, M.M. (1986) “Nonlinear Theory of Non-Uniform Torsion of Thin-Walled Open Beams,” *Journal of Thin-Walled Structures*, Vol. 4, pp. 101–134.

Badir, A. M., Berdichevski, V. L. and Armanios, E. A. (1993) “Theory of Composite Thin-Walled Opened-Cross-Section Beams,” in *Proceedings of the AIAA/ASME/ASCE/AHS/ASC*, 34th Structures, Structural Dynamics and Materials Conference, La Jolla, CA, April 22, pp. 2761–2770.

Bank, L. C. and Cofie, E. (1992) “A Modified Beam Theory for Bending and Twisting Open-Section Composite Beams-Numerical Verification,”

*Composite Structures*, Vol. 21, pp. 29–39.

CrossRefBarbero, E. J., Lopez, R., Anido and Davalos, F. (1993) “On the Mechanics of Thin-Walled Laminated Composite Beams,” *Journal of Composite Materials*, Vol. 27, No. 8, pp. 806–829.

Barsoum, R. S. (1970) “A Finite Element Formulation for the General Stability Analysis of Thin-Walled Members,” Ph.D. Thesis, Cornell University, Ithaca, NY.

Barta, T. A. (1967) “On the Torsional-Flexural Buckling of Thin-Walled Elastic Bars with Monosymmetric Open Cross-Section,” in *Thin-Walled Structures*, A. H. Chilver (Ed.), pp. 60–86, John Wiley & Sons, New York.

Bauld, N. R. and Tzeng, L. S. (1984) “A Vlasov Theory for Fiber-Reinforced Beams with Thin-Walled Open Cross-Sections,” *International Journal of Solid and Structures*, Vol. 20, No. 3, pp. 277–297.

Bažant, Z. P. and Cedolin, L. (1991) *Stability of Structures*, Chapter 6, Oxford University Press, New York, Oxford.

Beam, R. M. (1969) “On the Phenomenon of Thermoelastic Instability (Thermal Flutter) of Booms with Open Cross Section,” NASA TN D-5222.

Beam, R. M. and Yagoda, H. P. (1973) “On the Torsional Static Stability and Response of Open Section Tubes Subjected to Thermal Radiation Loading,”

*International Journal of Solids and Structures*, Vol. 9, pp. 151–175.

CrossRefCardoso, J. B., Sousa, L. G., Castro, J.A. and Valido, A. J. (2002) “Optimal Design of Laminated Composite Beam Structures,” *Structural Multidisciplinary Optimization*, Vol. 24, pp. 205–211.

Chandra, R. and Chopra, I. (1991) “Experimental and Theoretical Analysis of Composite I-Beams with Elastic Coupling,” *AIAA Journal*, Vol. 29, No. 12, pp. 2197–2206.

Craddock, J. N., Yen, S. C. (1993) “The Bending Stiffness of Laminated Composite Material I-Beams,” *Composites Engineering*, Vol. 3, No. 11, pp. 1025–1038.

Djanelidze, G. Iu (1943) “Variational Formulation of the V. Z. Vlasov’s Theory of Thin-Walled Beams,” *Prikladnaia Mathematika Mechanika, (Applied Mathematics and Mechanics)*, Vol. VII, No. 6 (in Russian).

Epstein, M. and Murray, D. W. (1976) “Three-Dimensional Large Deformatoin Analysis of Thin-Walled Beams,”

*International Journal of Solids and Structures*, Vol. 12, pp. 867–876.

CrossRefFloros, M. W. and Smith, E. C. (1996) “Finite-Element Modeling of Open-Section Composite Beams with Warping Restraint Effects,” *AIAA Journal*, Vol. 35, No. 8, pp. 1341–1347.

Fouad, A. M. (1984) “Complex Frequency Analysis of Damped Thin-Walled Beams with Open Cross Section,” University Microfilms International, Ann Arbor, Michigan 48106, Ph.D. Dissertation, University of New Hampshire.

Fraternali, F. and Feo, L. (2000) “On a Moderate Rotation Theory of Thin-Walled Composite Beams,”

*Composites: Part B*, Vol. 31, pp. 141–158.

CrossRefFrish, H. P. (1967) “Thermal Bending Plus Twist of Thin-Walled Cylinder of Open Section with Application to Gravity Gradient Booms,” NASA TND-4069.

Frish, H. P. (1970) “Thermally Induced Vibration of Long Thin-Walled Cylinders of Open Section,” *Journal of Spacecraft and Rockets*, Vol. 7, pp. 897–905.

Gay, D. (1978) “Influence of Secondary Effects on Free Torsional Oscillations of Thin-Walled Open Section Beams,” *Journal of Applied Mechanics*, Trans. ASME, **45**, pp. 681–683.

Gere, J. M. and Lin, Y. K. (1958) “Coupled Vibration of Thin-Walled Beams of Open Cross Section,” *Journal of Applied Mechanics*, Trans. ASME, Vol. 25, pp. 373–378.

Ghobarah, A. A. and Tso, W. K. (1971) “ANon-Linear Thin-Walled Beam Theory,”

*International Journal of Mechanical Science*, Vol. 13, pp. 1025–1038.

CrossRefGjelsvik, A. (1981) *The Theory of Thin Walled Bars*, A Wiley-Interscience Publication, New York.

Goodier, J. N. (1942) “Torsional and Flexural Buckling of Bars of Thin-Walled Open Section Under Compressive and Buckling Loads,”

*Journal of Applied Mechanics*, Vol. 9, Trans. ASME, Vol. 64, pp. A-103–107.

MathSciNetHerrmann, G. and Newat-Nasser, S. (1967) “Instability Modes of Cantilevered Bars Induced by Fluid Flow Through Attached Pipes,”

*International Journal of Solids and Structures*, Vol. 3, pp. 39–52.

CrossRefHirashima, M. and Iura, M. (1977) “On the Derivation of Fundamental Equations of Curved and Twisted Thin-Walled Open Section Members,” Waeda University, No. 79.

Hoff, N. J. (1944) “A Strain Energy Derivation of The Torsional Flexural Buckling Loads of Straight Columns of Thin-Walled Open Sections,”

*Quarterly of Applied Mathematics*, Vol. 1, pp. 341–345.

MathSciNetHodges, D. H., Harursampath, D., Volovoi, V. V. and Cesnik, C. E. S. (1999) “Non-Classical Effects in Non-linear Analysis of Pretwisted Anisotropic Strips,” *International Journal of Non-Linear Mechanics*, Vol. 34, pp. 259–277.

Ioannidis, G. I. and Kounadis, A. N. (1994) “Lateral Post-Buckling Analysis of Monosymmetric I-Beams Under Uniform Bending,”

*Journal of Constructional Steel Research*, Vol. 30, pp. 1–12.

CrossRefJung, S. N., Nagaraj, V. V. and Chopra, I. (1999) “Assessment of Composite Rotor Modeling Techniques,” *Journal of the American Helicopter Society*, Vol. 44, No. 3, pp. 188–205.

Jung, S.N., Nagaraj, V. T. and Chopra, I. (2002) “Refined Structural Model for Thin and Thick-Walled Composite Rotor Blades,” *AIAA Journal*, Vol. 40, No. 1, pp. 105–116.

Kaiser, C. and Francescatti, D. (1996) “Theoretical and Experimental Analysis of Composite Beams with Elastic Coupling,” in *20th Congress of the International Council of the Aeronautical Sciences*, ICAS-96-5.5.4, Sorrento, Napoli, Italy, September 8–13.

Kitipornchai, S., Wang, C. M. (1986) “Buckling of Monosymmetric I-Beams under Moment Gradient,” *Journal of Structural Engineering*, Vol. 112, No. 4, pp. 781–799.

Kollár, L. P. (2001) “Flexural-Torsional Vibration of Open Section Composite Beams with Shear Deformation,”

*International Journal of Solids and Structures*, Vol. 38, pp. 7543–7558.

MATHLaudiero, F., Savoia, M. and Zaccaria, D. (1991) “The Influence of Shear Deformations on the Stability of Thin-Walled Beams under Non-Conservative Loading,”

*International Journal of Solids and Structures*, Vol. 27, No. 11, pp. 1351–1370.

CrossRefLee, J. and Kim, S. E. (2001) “Flexural-Torsional Buckling of Thin-Walled I-Section Composites,” *Computers & Structures*, Vol. 79, pp. 987–995.

Lee, J. and Kim, S. E. (2002) “Free Vibration of Thin-Walled Composite Beams with I-Shaped Cross-Section,”

*Composite Structures*, Vol. 55, pp. 205–215.

CrossRefLi, D-B., Chui, Y. H. and Smith, I. (1994) “Effect of Warping on Torsional Vibration of Members with Open Cross-Sections,”

*Journal of Sound and Vibration*, Vol. 170, No. 2, pp. 270–275.

CrossRefLoughlan, J. and Atta, M. (1997) “The Behavior of Open and Closed Section Carbon Fibre Composite Beams Subjected to Constrained Torsion,” *Composite Structures*, Vol. 38, No. 1–4, pp. 631–647.

Maddur, S. S. and Chaturvedi, S. K. (1999) “Laminated Composite Open Profile Sections: First Order Shear Deformation Theory,”

*Composite Structures*, Vol. 45, pp. 105–114.

CrossRefMaddur, S. S. and Chaturvedi, S. K. (2000) “Laminated Composite Open Profile Sections: Nonuniform Torsion of I-Sections,”

*Composite Structures*, Vol. 50, pp. 159–169.

CrossRefMassa, J. C. and Barbero, E. J. (1998) “A Strength of Materials Formulation for Thin Walled Composite Beams with Torsion,” *Journal of Composite Materials*, Vol. 32, No. 17, pp. 1560–1594.

McGee, O. G. (1992) “Effect of Warping-Pretwist Torsionally Clamped-Pinned Thin-Walled Open Profile Bars,”

*International Journal for Numerical Methods in Engineering*, Vol. 35, pp. 325–349.

MATHMcGee, O. G., Owings, M. I. and Harris, J. W. (1993) “Torsional Vibrations of Pretwisted Thin-Walled Cantilevered I-Beams,”

*Computers & Structures*, Vol. 47, No. 1, pp. 47–56.

CrossRefMei, C. (1970) “Coupled Vibrations of Thin-Walled Beams of Open Section,”

*International Journal of Mechanical Science*, Vol. 12, pp. 883–891.

MATHCrossRefMohri, F., Azrar, L. and Potier-Ferry, M. (2002) “Lateral Post-Buckling Analysis of Thin-Walled Open Section Beams,” *Thin-Walled Structures*, Vol. 30, No. 12, pp. 1013–1036.

Moore, D. B. (1986) “A Non-Linear Theory for the Behavior of Thin-Walled Sections Subjected to Combined Bending and Torsion,” *Journal of Thin-Walled Structures*, Vol. 4, pp. 101–134.

Mottram, J. T. (1992) “Lateral-Torsional Buckling of Thin-Walled Composite I-Beams by the Finite Difference Method,” *Composites Engineering*, Vol. 2, No. 2, pp. 91–104.

Muller, P. (1983) “Torsional-Flexural Waves in Thin-Walled Open Beams,”

*Journal of Sound and Vibration*, Vol. 87, No. 1, pp. 113–141.

CrossRefMurozono, M., Hashimoto, Y. and Sumi, S. (1985) “Thermally-Induced Vibration and Stability of Booms with Open Cross Section Caused by Unidirectional Radiant Heating,” (in Japanese) *Journal of the Japan Society for Aeronautical and Space Sciences*, Vol. 33, No. 383, pp. 719–727.

Murray, N. W. (1984) *Introduction to the Theory of Thin-Walled Structures*, Clarendon Press, Oxford.

Musat, S. D. and Epureanu, B. I. (1999) “Study of Warping Torsion of Thin-Walled Beams with Open Cross-Section Using Macro-Elements,” *International Journal of Numerical Methods in Engineering*, Vol. 44, pp. 853–868.

Nemat-Nasser, S. and Tsai, P. F. (1969) “Effect of Warping Rigidity on Stability of a Bar Under Eccentric Follower Force,”

*International Journal of Solids and Structures*, Vol. 5, pp. 271–279.

CrossRefNishino, F. and Hasegawa, A. (1979) “Thin-Walled Elastic Members,”

*Journal of the Faculty of Engineering*, The University of Tokyo (B), Vol. XXXV,(2), pp. 109–190.

MathSciNetNylander, H. (1956) “Torsion, Bending, and Lateral Buckling of I-beams,” *Trans. of the Royal Institute of Technology*, Stockholm, Sweden, No. 102.

Ojalvo, M. (1990) *Thin-Walled Bars with Open Profiles*, Olive Press.

Païdoussis, M. P. (1998) *Fluid-Structures Interactions. Slender Structures and Axial Flow*, Vol. 1, Academic Press, New York.

Pan, Y. H., Lu, S. Y. (1983) “Increase of Warping Rigidity in Open Section of a Containership by Stiffening Plates,” *Journal of Ship Research*, Vol. 27, No. 4, pp. 265–270.

Pandey, M.D., Kabir, M. Z. and Sherbourne, A. N. (1995) “Flexural-Torsional Stability of Thin-Walled Composite I-Section Beams,” *Composites Engineering*, Vol. 5, No. 3, pp. 321–342.

Pignataro, M., Rizzi, N. and Luongo, A. (1983) *Stabilita, Bifurcazione e Comportamento Postcritica Delle Strutture Elastiche* (in Italian) Sec. 6.1, ESA, Roma.

Polillo, V. R., Garcia, L. F. T. and Villac, S. F. (1998) “Discussion about Geometrically Nonlinear Formulations for Combined Flexure and Torsion of Thin-Walled Open Bars,” *Journal of the Brazilian Society of Mechanical Sciences*, Vol. XX, No. 1, pp. 103–115.

Qiao, P. Z. and Zou, G. P. (2002) “Free Vibration Analysis of Fiber-Reinforced Plastic Composite Cantilever I-Beams,” *Mechanics of Advanced Material and Structures*, Vol. 9, No. 4, pp. 359–373.

Rand, O. (1999) “Theoretical Model for Thin-Walled Composite Beams of Open Cross-Sectional Geometry,” in *American Helicopter Society, 55th Annual Forum Proceedings*, May 25–27, Washington, DC, pp. 356–367.

Reissner, E. (1952) “On Nonuniform Torsion of Cylindrical Rods,”

*Journal of Mathematics and Physics*, Vol. 31, pp. 214–221.

MATHMathSciNetReissner, E. (1956) “Note on Torsion with Variable Twist,”

*Journal of Applied Mechanics*, Vol. 23, Trans. ASME, Vol. 78, pp. 315–316.

MATHMathSciNetRoberts, T. M. and Azizian, Z. G. (1983) “Nonlinear Analysis of Thin-Walled Bars of Open Cross-Section,”

*International Journal of Mechanical Sciences*, Vol. 25, No. 8, pp. 565–577.

CrossRefRoberts, T.M. (1987) “Natural Frequencies of Thin-Walled Bars of Open Crossection,” *Journal of Engineering Mechanics*, Vol. 113, No. 10, pp. 1584–1593.

Ronagh, H. R., Bradford, M. A. and Attard, M. M. (2000) “Nonlinear Analysis of Thin-Walled Members of Variable Cross-Section, Part I. Theory,” *Journal of Computers & Structures*, Vol. 77, pp. 285–299.

Savic, V. Tuttle, M. E. and Zabusky, Z. B. (2001) “Optimization of Composite I-Sections Using Fiber Angles as Design Variables,”

*Composite Structures*, Vol. 53, pp. 265–277.

CrossRefSenjanovic, I. and Fan, Y., (1991a) “Pontoon Torsional Strength Related to Ships with Large Deck Opening,” *Journal of Ship Research*, Vol. 35, No. 4, pp. 339–351.

Senjanovic, I. and Fan, Y. (1991b) “On Torsional and Warping Stiffness of Thin-Walled Girders,”

*Thin-Walled Structures*, Vol. 11, pp. 233–276.

CrossRefSherbourne, A. N. and Kabir, M. Z. (1995) “Shear Strain Effects in Lateral Stability of Thin-Walled Fibrous Composite Beams,” *Journal of Engineering Mechanics*, May, pp. 640–647.

Smith, S. J. and Bank, L. C. (1992) “Modification to Beam Theory for Bending and Twisting of Open-Section Composite Beams-Experimental Verification,” *Composites Structures*, Vol. 22, No. 3, pp. 169–177.

Song, O. and Librescu, L. (1995) “Dynamic Theory of Open Cross-Section Thin-Walled Beams Composed of Advanced Composite Material,” *Journal of Thermoplastic Composite Materials*, Vol. 8, No. 2, pp. 225–238.

Song, O., Librescu, L. and Jeong, N-H. (2001) “Static Response of Thin-Walled Composite I-Beams Loaded at Their Free-End Cross Section: Analytical Solution,”

*Composite Structures*, Vol. 52, No. 1, pp. 55–65.

CrossRefTimoshenko, S. P. (1945) “Theory of Bending, Torsion and Buckling of Thin-Walled Members of Open Cross-Section,”

*Journal of the Franklin Institute*, Vol. 239, No. 3, 4, 5, pp. 201–219, 249–268, 343–361.

MATHMathSciNetCrossRefTrahair, N. S. (1993) *Flexural-Torsional Buckling of Structures*, Chapman and Hall, London.

Tso, W. K. (1965) “Coupled Vibrations of Thin-Walled Elastic Beams,” *Journal of the Engineering Mechanics Division*, Proceedings of ASCE, June, pp. 33–52.

Vlasov, V. Z. (1961) *Thin-Walled Elastic Beams*, 2nd Edition, Jerusalem, Israel Program for Scientific Translation. (First Edition: Stroizdat, Moscow, 1940.)

Volovoi, V. V., Hodges, D. H., Berdichevski, V. L. and Sutyrin, V. G. (1999) “Asymptotic Theory for Static Behavior of Elastic Anisotropic I-Beam,”

*International Journal of Solids and Structures*, Vol. 36, pp. 1017–1043.

MathSciNetCrossRefWekezer, J. W. (1987) “Free Vibrations of Thin-Walled Bars with Open Crossections,” *Journal of Engineering Mechanics*, Vol. 113, No. 10, pp. 1441–1453.

Wekezer, J. W. (1989) “Vibrational Analysis of Thin-Walled Bars With Open Crossection,” *Journal of Structural Engineering*, Vol. 115, No. 12, pp. 2965–2978.

Wu, X. X. and Sun, C. T. (1992) “Simplified Theory for Composite Thin-Walled Beams,”

*AIAA Journal*, Vol. 30, No. 12, pp. 2945–2951.

MathSciNetYu, Y-Y. (1969) “Thermally Induced Vibration and Flutter of a Flexible Boom,” *Journal of Spacecraft and Rockets*, Vol. 6, pp. 902–910.

Yu, Y-Y. (1972) “Variational Equation of Motion for Coupled Flexure and Torsion of Bars of Thin-Walled Open Section Including Thermal Effects,” *Journal of Applied Mechanics*, Trans. ASME, Vol. 38, No. 2, June, pp. 502–506.