Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

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)
  • Received : 2018.10.08
  • Accepted : 2019.01.13
  • Published : 2019.03.10
⟨ Previous Next ⟩

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

Acknowledgement

Supported by : National Natural Science Foundation of China, China Scholarship Council, Shaanxi National Science Foundation of China

References

  1. 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. https://doi.org/10.1177/1081286517720843
  2. ANSYS Inc. (2016), ANSYS Programmer's Guide Release 14.0, 1st Edition, U.S.A.
  3. Banerjee, J.R. (2001), "Free vibration analysis of a twisted beam using the dynamic stiffness method", Int. J. Sol. Struct., 38(38), 6703-6722. https://doi.org/10.1016/S0020-7683(01)00119-6
  4. 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. https://doi.org/10.1016/S0022-460X(03)00633-3
  5. 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. https://doi.org/10.1016/0021-8928(85)90012-7
  6. 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. https://doi.org/10.12989/sem.2014.49.2.273
  7. 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. https://doi.org/10.12989/scs.2016.21.3.553
  8. 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. https://doi.org/10.12989/sem.2016.57.3.389
  9. 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. https://doi.org/10.1016/j.jcsr.2016.03.024
  10. 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. https://doi.org/10.12989/CAC.2018.21.3.335
  11. 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. https://doi.org/10.1016/j.conbuildmat.2018.01.056
  12. Chen, J. and Li, Q.S. (2019), "Vibration characteristics of a rotating pre-twisted composite laminated blade", Compos. Struct., 208, 78-90. https://doi.org/10.1016/j.compstruct.2018.10.005
  13. 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. https://doi.org/10.1115/1.2930347
  14. 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. https://doi.org/10.1016/j.jsv.2006.07.051
  15. 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.
  16. 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. https://doi.org/10.12989/sem.2017.64.2.205
  17. Karimi-Nobandegani, A., Fazelzadeh, S.A. and Ghavanloo, E. (2018), "Non-conservative stability of spinning pretwisted cantilever beams", J. Sound Vibr., 412, 130-147. https://doi.org/10.1016/j.jsv.2017.09.035
  18. 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. https://doi.org/10.1016/j.compstruct.2018.09.070
  19. Mustapha, K.B. (2017), "Dynamic behaviors of spinning pretwisted Rayleigh micro-beams", Eur. J. Comput. Mech., 26(5-6), 473-507. https://doi.org/10.1080/17797179.2017.1354576
  20. 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. https://doi.org/10.1006/jsvi.1996.0012
  21. Rao, S.S. and Gupta, R.S. (2001), "Finite element vibration analysis of rotating Timoshenko beams", J. Sound Vibr., 242(1), 103-124. https://doi.org/10.1006/jsvi.2000.3362
  22. 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. https://doi.org/10.1016/j.ijsolstr.2017.10.010
  23. 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. https://doi.org/10.1016/j.compstruct.2016.12.009
  24. 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. https://doi.org/10.1016/j.tws.2017.05.003
  25. 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. https://doi.org/10.1016/j.jsv.2010.12.017
  26. 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. https://doi.org/10.1016/0045-7825(88)90021-7
  27. 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. https://doi.org/10.1006/jsvi.2000.3258
  28. 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. https://doi.org/10.1016/S0045-7949(02)00329-2
  29. 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 https://doi.org/10.1016/j.finel.2003.10.001

Cited by

  1. The linear-elastic stiffness matrix model analysis of pre-twisted Euler-Bernoulli beam vol.72, pp.5, 2019, https://doi.org/10.12989/sem.2019.72.5.617
  2. The linear-elastic stiffness matrix model analysis of pre-twisted Euler-Bernoulli beam vol.72, pp.5, 2019, https://doi.org/10.12989/sem.2019.72.5.617