SciELO - Scientific Electronic Library Online

SciELO - Scientific Electronic Library Online

Article References

PROKIć, Aleksandar  and  LUKIć, Dragan. Flexural-torsional vibration analysis of axially loaded thin-walled beam. J. Braz. Soc. Mech. Sci. & Eng. [online]. 2012, vol.34, n.3, pp. 262-268. ISSN 1678-5878.  http://dx.doi.org/10.1590/S1678-58782012000300006.

    Arpaci, A., Bozdag, E., 2002, "On free analysis of thin-walled beams with nonsymmetrical open cross-sections", Computer and Structures, Vol. 80, pp. 691-695. [ Links ]

    Arpaci, A., Bozdag, S.E., 2003, Sunbuloglu, E., "Triply coupled of thin-walled open cross-section beams including rotary inertia effects", Journal of Sound and Vibration, Vol. 260, pp. 889-900. [ Links ]

    Banerjee, J.R., 1989, "Coupled bending-torsional dynamic stiffness matrix for beam elements", International Journal for Numerical Methods in Engineering, Vol. 28, pp. 1283-1298. [ Links ]

    Banerjee, J.R., Williams, F.W., 1992, "Coupled bending–torsional dynamic stiffness matrix for Timoshenko beam elements", Computers and Structures, Vol. 42, pp. 301-310. [ Links ]

    Banerjee, J.R., Williams, F.W., 1994, "Coupled bending–torsional dynamic stiffness matrix of an axially loaded Timoshenko beam element", International Journal of Solids and Structures, Vol. 31, pp. 749-762. [ Links ]

    Banerjee, J.R., 1999, "Explicit frequency equation and mode shapes of a cantilever beam coupled in bending and torsion", Journal of Sound and Vibration, Vol. 224, pp. 267-281. [ Links ]

    Dokumaci, E., 1987, "An exact solution for coupled bending and torsion vibrations of uniform beams having single cross-sectional symmetry", Journal of Sound and Vibration, Vol. 119, No. 3, pp. 443-449. [ Links ]

    Friberg, P.O., 1983, "Coupled vibrations of beams-an exact dynamic element stiffness matrix", International Journal for Numerical Methods in Engineering, Vol. 19, pp. 479-493. [ Links ]

    Hashemi, S.M., Richard, M.J., 2000, "Free vibrational analysis of axially loaded bending–torsion coupled beams: a dynamic finite element", Computers and Structures, Vol. 77, No. 7, pp. 711-724. [ Links ]

    Kim, M.Y., Chang, S.P., Kim, S.B., 1994, "Spatial stability and free vibration of shear flexible thin-walled elastic beams. I: analytical approach", International Journal for Numerical Methods in Engineering, Vol. 37, pp. 4097-4115. [ Links ]

    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. [ Links ]

    Li, J., Li, W.Y., Shen, R.Y., Hua, H.X., 2004a, "Coupled bending and torsional vibration of nonsymmetrical axially loaded thin-walled Bernoulli–Euler beams", Mechanics Research Communications, Vol. 31, No. 6, pp. 697-711. [ Links ]

    Li, J., Shen, R.Y., Hua, H.X., Jin, X.D., 2004b, "Coupled bending and torsional vibration of axially loaded thin-walled Bernoulli–Euler beams including warping effects", Applied Acoustics, Vol. 65, pp. 153-170. [ Links ]

    Moon-Young, K., Nam II, K., Hee-Taek, Y., 2003, "Exact dynamic and static stiffness matrices of shear deformable thin-walled beam-columns", Journal of Sound and Vibration, Vol. 267, No. 1, pp. 29-55. [ Links ]

    Prokić, A., 2005, "On triply coupled vibrations of thin-walled beams with arbitrary cross-section", Journal of Sound and Vibration, Vol. 279, pp. 723-737. [ Links ]

    Prokić, A., 2006, "On fivefold coupled vibrations of Thimoshenko thin-walled beams", Engineering Structures, Vol. 28, pp. 54-62. [ Links ]

    Tanaka, M., Bercin, A.N., 1999, "Free vibration for uniform beams of nonsymmetrical cross-section using Mathematica", Computer and Structures, Vol. 71, pp. 1-8. [ Links ]