Structural Engineering and Mechanics

  • 제3권1호
  • /
  • Pages.91-103
  • /
  • 1995
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Shear center for elastic thin-walled composite beams

  • Pollock, Gerry D. (Aeronautical and Astronautical Engineering, Department (AAE) and National Center for Supercomputing Applications (NCSA), University of Illinois at Urbana-Champaign) ;
  • Zak, Adam R. (Aeronautical and Astronautical Engineering, Department (AAE) and National Center for Supercomputing Applications (NCSA), University of Illinois at Urbana-Champaign) ;
  • Hilton, Harry H. (Aeronautical and Astronautical Engineering, Department (AAE) and National Center for Supercomputing Applications (NCSA), University of Illinois at Urbana-Champaign) ;
  • Ahmad, M. Fouad (Aeronautical and Astronautical Engineering, Department (AAE) and National Center for Supercomputing Applications (NCSA), University of Illinois at Urbana-Champaign)
  • 발행 : 1995.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

An analysis to determine shear centers for anisotropic elastic thin-walled composite beams, cantilevered and loaded transversely at the free end is presented. The shear center is formulated based on familiar strength of material procedures analogous to those for isotropic beams. These procedures call for a balancing of torsional moments on the cross sectional surface and lead to a condition of zero resultant torsional couple. As a consequence, due the presence of anisotropic coupling, certain non-classical effects are manifested and are illustrated in two example problems. The most distinguishing result is that twisting may occur for composite beams even if shear forces are applied at the shear center. The derived shear center locations do not depend on any specific anisotropic bending theories per se, but only on the values of bending and shear stresses which such theories produce.

키워드

참고문헌

  1. Allen, D.H. and Haisler, W.E. (1985), Introduction to Aerospace Structural Analysis, John Wiley & Sons, New York.
  2. Bauchau, O.A. (1985), "A beam theory for anisotropic materials, " Journal of Applied Mechanics, 52, 416-422. https://doi.org/10.1115/1.3169063
  3. Bauld, Jr. N.R.B. and Tzeng, L.S. (1984), "A Vlasov theory for fiber-reinforced beams with thin-walled open cross sections", International Journal of Solids and Structures, 20(3), 277-297. https://doi.org/10.1016/0020-7683(84)90039-8
  4. Bisplinghoff, R.L., Ashley, H. and Halfman, R.L. (1955), Aeroelasticity, Addison-Wesley Publishing Company, Boston.
  5. Donaldson, B.K. (1993), Analysis of Aircraft Structures. An Introduction, McGraw-Hill Book Company, New York.
  6. Duncan, W.T. (1932), "Torsion and flexure of cylinders and tubes", Reports and Memoranda, National Advisory Committee on Aeronautics (1444), 54-77.
  7. Duncan, W.T. (1953), "The flexural centre or centre of shear", Journal of the Royal Aeronautical Society, 57, 594-597. https://doi.org/10.1017/S0368393100125441
  8. Faupel, J.H. and Fisher, F.E. (1981), Engineering Design, 2nd Edn, John Wiley & Sons, New York.
  9. Gjelsvik, A. (1981), The Theory of Thin Walled Bars, John Wiley & Sons, New York.
  10. Goodier, J.N. (1944), "A theorem on the shearing stress in beams with applications to multicellular sections", Journal of the Aeronautical Sciences, 11, 272-280. https://doi.org/10.2514/8.11143
  11. Griffith, A.A. and Taylor, G.I. (1917), "The problem of flexure", Reports and Memoranda, National Advisory Committee on Aeronautics (399), 1-21.
  12. Hilton, H.H. and Piechocki, J.J. (1962), "Shear center motion in beams with temperature dependent linear elastic or viscoelastic properties", Proceedings of the Fourth U.S. National Congress on Applied Mechanics, pp.1279-1289. ASME.
  13. Libove, C. (1988), "Stresses and rate of twist in single-cell thin-walled beams with anisotropic walls", AIAA Journal, 26(9). 1107-1118. https://doi.org/10.2514/3.10018
  14. Mansfield, E.H. (1979), "On the deflection of an anisotropic cantilever plate with variable rigidity", Proceedings of the Royal Society of London, A. 366, 491-515. https://doi.org/10.1098/rspa.1979.0066
  15. Niles, A.S.;Newell, J.S. (1938), Airplane Structures, 1, 2nd Edn. John Wiley & Sons, New York.
  16. Oden, J.T. and Ripperger, E.A. (1981), Mechanics of Elastic Structures, 2nd Edn. Hemisphere Publishing Corporation; McGraw-Hill Book Company, New York.
  17. Osgood, W.R. (1943), "The center of shear again", Journal of Applied Mechanics, pp. A-62-A-64.
  18. Peery, D.J. and Azar, J.J. (1982), Aircraft Structures, McGraw-Hill Book Company, New York.
  19. Pollock, G.D. (1993), "Thin-walled orthotropic laminated beam theory", Ph.D dissertation, Department of Aeronautical and Astronautical Engineering, University of Illinois at Urbana-Champaign.
  20. Reissner, E. (1989), "The center of shear as a problem of the theory of plates of variable thickness", Archive of Applied Mechanics (Ingenieur-Archiv), 59, 325-332.
  21. Reissner, E. (1991), "Approximate determination the center of shear by use of the st. venant solution for the flexure problem of plates of variable thickness", Archive of Applied Mechanics (Ingenieur-Archiv), 61(8), 555-566.
  22. Reissner, E. (1992), "On some ramifications of the center of shear problem", Zeitschrift fur Angewandte Mathematik und Mechanik, 72(8), 315-319. https://doi.org/10.1002/zamm.19920720802
  23. Reissner, E. and Tsai, W.T. (1972), "On the determination of the centers of twist and of shear for cylindrical shell beams", Journal of Applied Mechanics, 39, 1098-1102. https://doi.org/10.1115/1.3422836
  24. Trefftz, E. (1935), "Uber den Schubmittelpunkt in einem durch eine Einzellast gebogenen Balken", Zeitschrift fur Angewandte Mathematik und Mechanik, 15(4), 220-235. https://doi.org/10.1002/zamm.19350150405
  25. Zak, A.R. (1987), "Finite element limitations for orthotropic, laminated beam analysis", Journal of Engineering for Industry, 109. 34-38. https://doi.org/10.1115/1.3187091
  26. Zak, A.R.and Nagarajan, S. (1985), "Finite element model for orthotropic beams", Composite Structures, 20(1-3), 443-449. https://doi.org/10.1016/0045-7949(85)90092-6

피인용 문헌

  1. Stability of composite thin-walled beams with shear deformability vol.84, pp.15-16, 2006, https://doi.org/10.1016/j.compstruc.2006.02.017
  2. Linear viscoelastic analysis of straight and curved thin-walled laminated composite beams vol.45, pp.11-12, 2008, https://doi.org/10.1016/j.ijsolstr.2008.02.009
  3. VIBRATION AND BUCKLING OF COMPOSITE THIN-WALLED BEAMS WITH SHEAR DEFORMABILITY vol.258, pp.4, 2002, https://doi.org/10.1006/jsvi.2002.5146