Open-Section Beams

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 131)

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References

  1. 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.Google Scholar
  2. 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.CrossRefGoogle Scholar
  3. Ascione, 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.Google Scholar
  4. 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.Google Scholar
  5. 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.Google Scholar
  6. 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.CrossRefGoogle Scholar
  7. Barbero, 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.Google Scholar
  8. Barsoum, R. S. (1970) “A Finite Element Formulation for the General Stability Analysis of Thin-Walled Members,” Ph.D. Thesis, Cornell University, Ithaca, NY.Google Scholar
  9. 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.Google Scholar
  10. 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.Google Scholar
  11. Bažant, Z. P. and Cedolin, L. (1991) Stability of Structures, Chapter 6, Oxford University Press, New York, Oxford.Google Scholar
  12. Beam, R. M. (1969) “On the Phenomenon of Thermoelastic Instability (Thermal Flutter) of Booms with Open Cross Section,” NASA TN D-5222.Google Scholar
  13. 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.CrossRefGoogle Scholar
  14. Cardoso, 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.Google Scholar
  15. 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.Google Scholar
  16. 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.Google Scholar
  17. 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).Google Scholar
  18. 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.CrossRefGoogle Scholar
  19. Floros, 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.Google Scholar
  20. 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.Google Scholar
  21. Fraternali, F. and Feo, L. (2000) “On a Moderate Rotation Theory of Thin-Walled Composite Beams,” Composites: Part B, Vol. 31, pp. 141–158.CrossRefGoogle Scholar
  22. Frish, H. P. (1967) “Thermal Bending Plus Twist of Thin-Walled Cylinder of Open Section with Application to Gravity Gradient Booms,” NASA TND-4069.Google Scholar
  23. 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.Google Scholar
  24. 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.Google Scholar
  25. 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.Google Scholar
  26. Ghobarah, A. A. and Tso, W. K. (1971) “ANon-Linear Thin-Walled Beam Theory,” International Journal of Mechanical Science, Vol. 13, pp. 1025–1038.CrossRefGoogle Scholar
  27. Gjelsvik, A. (1981) The Theory of Thin Walled Bars, A Wiley-Interscience Publication, New York.Google Scholar
  28. 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.MathSciNetGoogle Scholar
  29. Herrmann, 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.CrossRefGoogle Scholar
  30. Hirashima, M. and Iura, M. (1977) “On the Derivation of Fundamental Equations of Curved and Twisted Thin-Walled Open Section Members,” Waeda University, No. 79.Google Scholar
  31. 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.MathSciNetGoogle Scholar
  32. Hodges, 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.Google Scholar
  33. 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.CrossRefGoogle Scholar
  34. Jung, 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.Google Scholar
  35. 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.Google Scholar
  36. 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.Google Scholar
  37. 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.Google Scholar
  38. 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.MATHGoogle Scholar
  39. Laudiero, 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.CrossRefGoogle Scholar
  40. Lee, J. and Kim, S. E. (2001) “Flexural-Torsional Buckling of Thin-Walled I-Section Composites,” Computers & Structures, Vol. 79, pp. 987–995.Google Scholar
  41. 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.CrossRefGoogle Scholar
  42. Li, 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.CrossRefGoogle Scholar
  43. Loughlan, 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.Google Scholar
  44. 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.CrossRefGoogle Scholar
  45. Maddur, S. S. and Chaturvedi, S. K. (2000) “Laminated Composite Open Profile Sections: Nonuniform Torsion of I-Sections,” Composite Structures, Vol. 50, pp. 159–169.CrossRefGoogle Scholar
  46. Massa, 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.Google Scholar
  47. 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.MATHGoogle Scholar
  48. McGee, 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.CrossRefGoogle Scholar
  49. Mei, C. (1970) “Coupled Vibrations of Thin-Walled Beams of Open Section,” International Journal of Mechanical Science, Vol. 12, pp. 883–891.MATHCrossRefGoogle Scholar
  50. Mohri, 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.Google Scholar
  51. 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.Google Scholar
  52. 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.Google Scholar
  53. Muller, P. (1983) “Torsional-Flexural Waves in Thin-Walled Open Beams,” Journal of Sound and Vibration, Vol. 87, No. 1, pp. 113–141.CrossRefGoogle Scholar
  54. Murozono, 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.Google Scholar
  55. Murray, N. W. (1984) Introduction to the Theory of Thin-Walled Structures, Clarendon Press, Oxford.Google Scholar
  56. 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.Google Scholar
  57. 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.CrossRefGoogle Scholar
  58. Nishino, 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.MathSciNetGoogle Scholar
  59. Nylander, H. (1956) “Torsion, Bending, and Lateral Buckling of I-beams,” Trans. of the Royal Institute of Technology, Stockholm, Sweden, No. 102.Google Scholar
  60. Ojalvo, M. (1990) Thin-Walled Bars with Open Profiles, Olive Press.Google Scholar
  61. Païdoussis, M. P. (1998) Fluid-Structures Interactions. Slender Structures and Axial Flow, Vol. 1, Academic Press, New York.Google Scholar
  62. 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.Google Scholar
  63. 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.Google Scholar
  64. Pignataro, M., Rizzi, N. and Luongo, A. (1983) Stabilita, Bifurcazione e Comportamento Postcritica Delle Strutture Elastiche (in Italian) Sec. 6.1, ESA, Roma.Google Scholar
  65. 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.Google Scholar
  66. 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.Google Scholar
  67. 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.Google Scholar
  68. Reissner, E. (1952) “On Nonuniform Torsion of Cylindrical Rods,” Journal of Mathematics and Physics, Vol. 31, pp. 214–221.MATHMathSciNetGoogle Scholar
  69. Reissner, E. (1956) “Note on Torsion with Variable Twist,” Journal of Applied Mechanics, Vol. 23, Trans. ASME, Vol. 78, pp. 315–316.MATHMathSciNetGoogle Scholar
  70. Roberts, 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.CrossRefGoogle Scholar
  71. Roberts, T.M. (1987) “Natural Frequencies of Thin-Walled Bars of Open Crossection,” Journal of Engineering Mechanics, Vol. 113, No. 10, pp. 1584–1593.Google Scholar
  72. 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.Google Scholar
  73. 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.CrossRefGoogle Scholar
  74. Senjanovic, 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.Google Scholar
  75. Senjanovic, I. and Fan, Y. (1991b) “On Torsional and Warping Stiffness of Thin-Walled Girders,” Thin-Walled Structures, Vol. 11, pp. 233–276.CrossRefGoogle Scholar
  76. Sherbourne, 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.Google Scholar
  77. 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.Google Scholar
  78. 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.Google Scholar
  79. 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.CrossRefGoogle Scholar
  80. Timoshenko, 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.MATHMathSciNetCrossRefGoogle Scholar
  81. Trahair, N. S. (1993) Flexural-Torsional Buckling of Structures, Chapman and Hall, London.Google Scholar
  82. Tso, W. K. (1965) “Coupled Vibrations of Thin-Walled Elastic Beams,” Journal of the Engineering Mechanics Division, Proceedings of ASCE, June, pp. 33–52.Google Scholar
  83. Vlasov, V. Z. (1961) Thin-Walled Elastic Beams, 2nd Edition, Jerusalem, Israel Program for Scientific Translation. (First Edition: Stroizdat, Moscow, 1940.)Google Scholar
  84. 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.MathSciNetCrossRefGoogle Scholar
  85. Wekezer, J. W. (1987) “Free Vibrations of Thin-Walled Bars with Open Crossections,” Journal of Engineering Mechanics, Vol. 113, No. 10, pp. 1441–1453.Google Scholar
  86. Wekezer, J. W. (1989) “Vibrational Analysis of Thin-Walled Bars With Open Crossection,” Journal of Structural Engineering, Vol. 115, No. 12, pp. 2965–2978.Google Scholar
  87. Wu, X. X. and Sun, C. T. (1992) “Simplified Theory for Composite Thin-Walled Beams,” AIAA Journal, Vol. 30, No. 12, pp. 2945–2951.MathSciNetGoogle Scholar
  88. Yu, Y-Y. (1969) “Thermally Induced Vibration and Flutter of a Flexible Boom,” Journal of Spacecraft and Rockets, Vol. 6, pp. 902–910.Google Scholar
  89. 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.Google Scholar

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