Refined Series Methodology for the Fully Coupled Thin-Walled Laminated Beams Considering Foundation Effects

REFERENCES

• ABAQUS ( 2003 ). Standard User's Manual, Ver. 6.1. Hibbit , Kalsson & Sorensen Inc.
   Google Scholar
• Bauld , N. R. , Tzeng , L. ( 1984 ). Vlasov theory for fiber-reinforced beams with thin-walled open cross sections . International Journal of Solids and Structures 20 : 277 – 297 .
   Web of Science ®Google Scholar
• Chandra , R. , Chopra , I. ( 1991 ). Experimental and theoretical analysis of composite I-beam with elastic coupling . AIAA Journal 29 : 2197 – 2206 .
   Web of Science ®Google Scholar
• Dube , G. P. , Dumir , P. C. ( 1996 ). Tapered thin open section beams on elastic foundation I: Buckling analysis . Computers and Structures 61 : 845 – 857 .
   Google Scholar
• Dufort , L. , Drapier , S. , Grédiac , M. ( 2001 ). Closed-form for the cross-section warping in short beams under three-point bending . Composite Structures 52 : 223 – 246 .
   Google Scholar
• Ghorbanpoor , A. , Omidvar , B. ( 1996 ). Simplified analysis of thin-walled composite members . Journal of Structural Engineering 122 : 1379 – 1383 .
   Web of Science ®Google Scholar
• Gjelsvik , A. ( 1981 ). The Theory of Thin-Walled Bars . New York : Wiley .
   Google Scholar
• Jones , R. M. ( 1975 ). Mechanics of Composite Material . New York : McGraw-Hill .
   Google Scholar
• Jung , S. N. , Lee , J. Y. ( 2003 ). Closed-form analysis of thin-walled composite I-beams considering non-classical effects . Composite Structures 60 : 9 – 17 .
   Web of Science ®Google Scholar
• Kabir , M. Z. , Sherbourne , A. N. ( 1999 ). Shear strain effects on flexure and torsion of thin-walled pultruded composite beams . Canadian Journal of Civil Engineering 26 : 852 – 868 .
   Web of Science ®Google Scholar
• Kim , S. B. , Kim , M. Y. ( 2000 ). Improved formulation for spatial stability and free vibration of thin-walled tapered beams and space frames . Engineering Structures 22 : 446 – 458 .
   Web of Science ®Google Scholar
• Larbi , L. O. , Kaci , A. , Houari , M. S. , Tounsi , A. ( 2013 ). An efficient shear deformation beam theory based on neutral surface position for bending and free vibration of functionally graded beams . Mechanics Based Design of Structures and Machines 41 : 421 – 433 .
   Web of Science ®Google Scholar
• Lee , J. , Lee , S. ( 2004 ). Flexural-torsional behavior of thin-walled composite beams . Thin-Walled Structures 42 : 1293 – 1305 .
   Web of Science ®Google Scholar
• Li , S. , Hu , J. , Zhai , C. , Xie , L. ( 2013 ). A unified method for modeling of axially and/or transversally functionally graded beams with variable cross-section profile . Mechanics Based Design of Structures and Machines 41 : 168 – 188 .
   Web of Science ®Google Scholar
• Maddur , S. S. , Chaturvedi , S. K. ( 2000 ). Laminated composite open profile sections: Non-uniform torsion of I-sections . Composite Structures 50 : 159 – 169 .
   Web of Science ®Google Scholar
• Qin , Z. , Librescu , L. ( 2002 ). On a shear-deformable theory of anisotropic thin-walled beams: Further contribution and validations . Composite Structures 56 : 345 – 358 .
   Web of Science ®Google Scholar
• Shi , G. , Lam , K. Y. , Tay , T. E. ( 1998 ). On efficient finite element modeling of composite beams and plates using higher-order theories and an accurate composite beam element . Composite Structures 41 : 159 – 165 .
   Web of Science ®Google Scholar
• Song , O. , Librescu , L. , Jeong , N. H. ( 2001 ). Static response of thin-walled composite I-beams loaded at their free-end cross section: Analytical solution . Composite Structures 52 : 55 – 65 .
   Web of Science ®Google Scholar
• Subramanian , P. ( 2001 ). Flexural analysis of symmetric laminated composite beams using C1 finite element . Composite Structures 54 : 121 – 126 .
   Web of Science ®Google Scholar
• Vallabhan , C. V. G. , Das , Y. C. (1991). Modified Vlasov model for beams on elastic foundation. Journal of Geotechnical Engineering 117:956–966.
   Google Scholar
• Vlasov , V. Z. ( 1961 ). Thin Walled Elastic Beams. , 2nd ed. Jerusalem : Israel Program for Scientific Transactions .
   Google Scholar
• Yaping , W. , Yuanlin , Z. , Yuanming , L. , Weideng , P. ( 2002 ). Analysis of shear lag and shear deformation effects in laminated composite box beams under bending loads . Composite Structures 55 : 147 – 156 .
   Web of Science ®Google Scholar
• #Communicated by Janos Logo.
   Google Scholar