References
- ANSYS Inc. (2007), ANSYS APDL Programmer's Guide Release 11.0, 3th Edition, America.
- Banerjee. J.R. (2004), "Development of an exact dynamic stiffness matrix for free vibration analysis of a twisted Timoshenko beam", J. Sound Vib., 270(9), 379-401. https://doi.org/10.1016/S0022-460X(03)00633-3
- Barnett, J.F. (1999), "A bridge for the bridges", Conference Proceedings for Bridges, American.
- Hsu, M.H. (2009), "Vibration analysis of pre-twisted beams using the spline collocation method", J. Marine Sci. Tech., 17(2), 106-115.
- Leung, A.Y.T. (2010a), "Natural vibration of pre-twisted shear deformable beam systems subject to multiple kinds of initial stresses", J. Sound .Vib., 329(10), 1901-1923. https://doi.org/10.1016/j.jsv.2009.12.002
- Leung, A.Y.T. (2010b), "Vibration of thin pre-twisted helical beams", Int. J. Solid. Struct., 47(9), 1177-1195. https://doi.org/10.1016/j.ijsolstr.2010.01.005
- Leung, A.Y.T. (2010c), "Dynamics and buckling of thin pre-twisted beams under axial load and torque", Int. J. Struct. Stab. Dyn., 32(10), 957-981.
- Petrov, E. and Geradin, M. (1998), "Finite element theory for curved and twisted beams based on exact solutions for three dimensional solids. Part 1: beam concept and geometrically exact nonlinear fomulation, Part 2: anisotropic and advanced beam models", Comput. Meth. Appl. Mech. Eng., 165(6), 43-127. https://doi.org/10.1016/S0045-7825(98)00061-9
- Yu, A.M., Yang, J.W., Nie, G.H. and Yang, X.G. (2011), "An improved model for naturally curved and twisted composite beams with closed thin-walled sections", Compos. Struct., 93( 9), 2322-2329. https://doi.org/10.1016/j.compstruct.2011.03.020
- Yu, W.B. and Liao, L. (2005), "Dewey H Hodges, et al. Theory of initially twisted, composite thin-walled beams", Thin Wall. Struct., 43(5), 1296-1311. https://doi.org/10.1016/j.tws.2005.02.001
- Sequin, C.H. (2000), "To build a twisted bridge", Conference Proceedings for Bridges, American.
- Shadnam, M.R. and Abbasnia, R. (2002), "Stability of pre-twisted beams in crosses bracings", Appl. Mech. Tech. Phy., 43(2), 328-335. https://doi.org/10.1023/A:1014726314758
- Yu, A.M., Yang, R.Q. and Hao, Y. (2009), "Theory and application of naturally curved and twisted beams with closed thin-walled cross sections", J. Mech. Eng., 55(12), 733-741.
- Zelenina, A.A. and Zubov, L.M. (2006), "Saint Venant problem for a naturally twisted rod in nonlinear moment elasticity theory", Doklady Phy., 51(3), 136-139. https://doi.org/10.1134/S1028335806030104
- Zupan, D. and Saje, M. (2004), "On "A proposed standard set of problems to test finite element accuracy": the twisted beam", Finite Elem. Anal. Des., 40(5),1445-1451. https://doi.org/10.1016/j.finel.2003.10.001
Cited by
- On the improvement of buckling of pretwisted universal steel columns vol.5, 2016, https://doi.org/10.1016/j.istruc.2015.10.012
- Development of Linearized Buckling Analysis Computer Program Considering Subspace Iteration Method vol.30, pp.12, 2014, https://doi.org/10.5659/JAIK_SC.2014.30.12.37
- A general solution to structural performance of pre-twisted Euler beam subject to static load vol.64, pp.2, 2014, https://doi.org/10.12989/sem.2017.64.2.205
- The finite element model of pre-twisted Euler beam based on general displacement solution vol.69, pp.5, 2014, https://doi.org/10.12989/sem.2019.69.5.479
- The linear-elastic stiffness matrix model analysis of pre-twisted Euler-Bernoulli beam vol.72, pp.5, 2014, https://doi.org/10.12989/sem.2019.72.5.617