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http://dx.doi.org/10.12989/sem.2019.69.5.479

The finite element model of pre-twisted Euler beam based on general displacement solution  

Huang, Ying (School of Civil Engineering, Xi'an University of Architecture and Technology)
Chen, Changhong (School of Mechanics and Civil Engineering, Northwestern Polytechnical University)
Zou, Haoran (School of Mechanics and Civil Engineering, Northwestern Polytechnical University)
Yao, Yao (School of Mechanics and Civil Engineering, Northwestern Polytechnical University)
Publication Information
Structural Engineering and Mechanics / v.69, no.5, 2019 , pp. 479-486 More about this Journal
Abstract
Based on the displacement general solution of a pre-twisted Euler-Bernoulli beam, the shape function and stiffness matrix are deduced, and a new finite element model is proposed. Comparison analyses are made between the new proposed numerical model based on displacement general solution and the ANSYS solution by Beam188 element based on infinite approach. The results show that developed numerical model is available for the pre-twisted Euler-Bernoulli beam, and that also provide an accuracy finite element model for the numerical analysis. The effects of pre-twisted angle and flexural stiffness ratio on the mechanical property are also investigated.
Keywords
pre-twisted; Euler-Bernoulli beam; general solution; finite element; parametric analysis;
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Times Cited By KSCI : 5  (Citation Analysis)
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1 Li, L., Liao, W.H., Zhang, D. and Zhang, Y. (2019), "Vibration control and analysis of a rotating flexible FGM beam with a lumped mass in temperature field", Compos. Struct., 208, 244-260.   DOI
2 Mustapha, K.B. (2017), "Dynamic behaviors of spinning pretwisted Rayleigh micro-beams", Eur. J. Comput. Mech., 26(5-6), 473-507.   DOI
3 Nabi, S.M. and Ganesan, N. (1996), "Comparison of beam and plate theories for free vibrations of metal matrix composite pretwisted blades", J. Sound Vibr., 189(2), 149-160.   DOI
4 Rao, S.S. and Gupta, R.S. (2001), "Finite element vibration analysis of rotating Timoshenko beams", J. Sound Vibr., 242(1), 103-124.   DOI
5 Sachdeva, C., Gupta, M. and Hodges, D.H. (2017), "Modeling of initially curved and twisted smart beams using intrinsic equations", Int. J. Sol. Struct., 148, 3-13.   DOI
6 Shenas, A.G., Malekzadeh, P. and Ziaee, S. (2017), "Vibration analysis of pre-twisted functionally graded carbon nanotube reinforced composite beams in thermal environment", Compos. Struct., 162, 325-340.   DOI
7 Shenas, A.G., Ziaee, S. and Malekzadeh, P. (2017), "Nonlinear vibration analysis of pre-twisted functionally graded microbeams in thermal environment", Thin-Wall. Struct., 118, 87-104.   DOI
8 Sinha, S.K. and Turner, K.E. (2011), "Natural frequencies of a pre-twisted blade in a centrifugal force field", J. Sound Vibr., 330(11), 2655-2681.   DOI
9 Tabarrok, B., Farshad, M. and Yi, H. (1988), "Finite element formulation of spatially curved and twisted rods", Comput. Meth. Appl. Mech. Eng., 70(3), 275-299.   DOI
10 Yoo, H.H., Kwak, J.Y. and Chung, J. (2001), "Vibration analysis of rotating pre-twisted blades with a concentrated mass", J. Sound Vibr., 240(5), 891-908.   DOI
11 Yu, A., Fang, M. and Ma, X. (2002), "Theoretical research on naturally curved and twisted beams under complicated loads", Comput. Struct., 80(32), 2529-2536.   DOI
12 Zupan, D. and Saje, M. (2004), "On a proposed standard set of problems to test finite element accuracy: The twisted beam", Fin. Elem. Analy. Des., 40(11), 1445-1451   DOI
13 Banerjee, J.R. (2004), "Development of an exact dynamic stiffness matrix for free vibration analysis of a twisted Timoshenko beam", J. Sound Vibr., 270(1), 379-401.   DOI
14 Adair, D. and Jaeger, M. (2017), "Vibration analysis of a uniform pre-twisted rotating Euler-Bernoulli beam using the modified Adomian decomposition method", Math. Mech. Sol., 23(9), 1345-1363.   DOI
15 ANSYS Inc. (2016), ANSYS Programmer's Guide Release 14.0, 1st Edition, U.S.A.
16 Banerjee, J.R. (2001), "Free vibration analysis of a twisted beam using the dynamic stiffness method", Int. J. Sol. Struct., 38(38), 6703-6722.   DOI
17 Berdichevskii, V.L. and Starosel'skii, L.A. (1985), "Bending, extension, and torsion of naturally twisted rods", J. Appl. Math. Mech., 49(6), 746-755.   DOI
18 Chen, C.H., Yao, Y. and Huang, Y. (2014), "Elastic flexural and torsional buckling behavior of pre-twisted bar under axial load", Struct. Eng. Mech., 49(2), 273-283.   DOI
19 Chen, C.H., Zhu, Y.F., Yao, Y. and Huang, Y. (2016), "Progressive collapse analysis of steel frame structure based on the energy principle", Steel Compos. Struct., 21(3), 553-571.   DOI
20 Chen, C.H., Zhu, Y.F., Yao, Y. and Huang, Y. (2016), "The finite element model research of the pre-twisted thin-walled beam", Struct. Eng. Mech., 57(3), 389-402.   DOI
21 Chen, C., Gong, H., Yao, Y., Huang, Y. and Keer, L.M. (2018), "Investigation on the seismic performance of T-shaped column joints", Comput. Concrete, 21(3), 335-344.   DOI
22 Choi, S.C., Park, J.S. and Kim, J.H. (2007), "Vibration control of pre-twisted rotating composite thin-walled beams with piezoelectric fiber composites", J. Sound Vibr., 300(1), 176-196.   DOI
23 Chen, C., Zhang, Q., Keer, L.M., Yao, Y. and Huang, Y. (2018), "The multi-factor effect of tensile strength of concrete in numerical simulation based on the Monte Carlo random aggregate distribution", Constr. Build. Mater., 165, 585-595.   DOI
24 Chen, J. and Li, Q.S. (2019), "Vibration characteristics of a rotating pre-twisted composite laminated blade", Compos. Struct., 208, 78-90.   DOI
25 Chen, W.R. and Keer, L.M. (1993), "Transverse vibrations of a rotating twisted Timoshenko beam under axial loading", J. Vibr. Acoust., 115(3), 285-294.   DOI
26 Fazayeli, H. and Kharazi, M. (2017), "Effect of pre-twist on the nonlinear vibration of the blades considering the bendingbending-torsion coupling", Proceedings of the 8th International Conference on Mechanical and Aerospace Engineering, Prague, Czech Republic, July.
27 Chen, C.H., Zhu, Y.F., Yao, Y., Huang, Y. and Long, X. (2016), "An evaluation method to predict progressive collapse resistance of steel frame structures", J. Constr. Steel Res., 122, 238-250.   DOI
28 Huang, Y., Chen, C.H., Leon, M.K. and Yao, Y. (2017), "A general solution to structural performance of pre-twisted Euler beam subject to static load", Struct. Eng. Mech., 64(2), 205-212.   DOI
29 Karimi-Nobandegani, A., Fazelzadeh, S.A. and Ghavanloo, E. (2018), "Non-conservative stability of spinning pretwisted cantilever beams", J. Sound Vibr., 412, 130-147.   DOI