Vol. 18, No. 2, pp. 585-591 (2022)
AN INNOVATIVE CABLE ELEMENT ALLOWING FOR SLIDING EFFECT
Jian-Wei He 1, De-Hong Huang 2, Yao-Peng Liu 1, 2, 3, *, Wen-Feng Chen 1, Yue-Yang Ding 1 and Siu-Lai Chan 1
1 Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Hong Kong, China
2 School of Civil Engineering, Southwest Jiaotong University, Chengdu, China
3 NIDA Technology Company Limited, Hong Kong, China
*(Corresponding author: E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.)
Received: 6 May 2021; Revised: 8 October 2021; Accepted: 20 November 2021
DOI:10.18057/IJASC.2022.18.2.7
View Article | Export Citation: Plain Text | RIS | Endnote |
ABSTRACT
Sliding motion has attracted much attention in the design of cable structures such as flexible barriers and suspend-dome structures. Engineers can take the benefit of sliding behavior to develop the innovative cable systems like flexible barriers to absort large impact energy while the risk of sliding in some cable dome structures should be evaluated. The conventional analysis methods need many straight-line cable elements but with inaccurate results and low numerical efficiency. The well-known catenary cable element show high performance in the cable structures but limited to no sliding cases. Thus, an advanced cable element allowing for sliding effect is urgently required in the practical analysis of cable structures. In this paper, a super cable element based on the conventional catenary cable element is proposed to model the segments within a slidable cable. In the proposed super element, every segment performs in the characteristic of catenary cable. Meanwhile, the sliding motion will be activated when the unbalanced axial force between segments are deteced and as a result, the sliding behaviours of the cables in both taut and slack states can be modelled. This work has not been done in previous research and the proposed element can be applied to many structures. The verification examples show the accuracy and efficiency of the proposed element in the analysis of cable structures with internal movement passing the supports or relocation of the loading points.
KEYWORDS
Cable structures, Flexible barrier system, Sliding behavior, Catenary cable element, Multi-node cable element
REFERENCES
[1] Andreu, A., Gil, L., & Roca, P. (2006). A new deformable catenary element for the analysis of cable net structures. Computers & Structures, 84(29-30), 1882-1890. https://doi.org/10.1016/J.COMPSTRUC.2006.08.021
[2] Aufaure, M. (1993). A finite element of cable passing through a pulley. Computers & Structures, 46(5), 807-812. https://doi.org/10.1016/0045-7949(93)90143-2
[3] Aufaure, M. (2000). A three-node cable element ensuring the continuity of the horizontal tension; a clamp–cable element. Computers & Structures, 74(2), 243-251. https://doi.org/10.1016/S0045-7949(99)00015-2
[4] Bruno, D., & Leonardi, A. (1999). Nonlinear structural models in cableway transport systems. Simulation Practice and Theory, 7(3), 207-218. https://doi.org/10.1016/S0928-4869(98)00024-X
[5] Chen, Z. H., Wu, Y. J., Yin, Y., & Shan, C. (2010). Formulation and application of multi-node sliding cable element for the analysis of Suspen-Dome structures. Finite Elements in Analysis and Design, 46(9), 743-750. https://doi.org/10.1016/J.FINEL.2010.04.003
[6] Coulibaly, J. B., Chanut, M.-A., Lambert, S., & Nicot, F. (2018). Sliding cable modeling: An attempt at a unified formulation. International Journal of Solids and Structures, 130-131, 1-10. https://doi.org/10.1016/J.IJSOLSTR.2017.10.025
[7] Crusells-Girona, M., Filippou, F. C., & Taylor, R. L. (2017). A mixed formulation for nonlinear analysis of cable structures. Computers & Structures, 186, 50-61. https://doi.org/10.1016/J.COMPSTRUC.2017.03.011
[8] Impollonia, N., Ricciardi, G., & Saitta, F. (2011). Statics of elastic cables under 3D point forces. International Journal of Solids and Structures, 48(9), 1268-1276. https://doi.org/10.1016/J.IJSOLSTR.2011.01.007
[9] Jayaraman, H. B., & Knudson, W. C. (1981). A curved element for the analysis of cable structures. Computers & Structures, 14(3-4), 325-333. https://doi.org/10.1016/0045-7949(81)90016-X
[10] Ju, F., & Choo, Y. S. (2005). Super element approach to cable passing through multiple pulleys. International Journal of Solids and Structures, 42(11-12), 3533-3547. https://doi.org/10.1016/J.IJSOLSTR.2004.10.014
[11] Kan, Z., Peng, H., Chen, B., & Zhong, W. (2018). A sliding cable element of multibody dynamics with application to nonlinear dynamic deployment analysis of clustered tensegrity. International Journal of Solids and Structures, 130, 61-79.
[12] LSTC. (2019). LS-DYNA Theory Manual. In: Livermore Software Technology Corporation.
[13] Nie, J.-g., Chen, B.-l., & Xiao, J.-c. (2003). Nonlinear static analysis of continuous cables with sliding at the middle supportings. Jisuan Lixue Xuebao(Chinese Journal of Computational Mechanics)(China), 20(3), 320-324.
[14] Salehi Ahmad Abad, M., Shooshtari, A., Esmaeili, V., & Naghavi Riabi, A. (2013). Nonlinear analysis of cable structures under general loadings. Finite Elements in Analysis and Design, 73, 11-19. https://doi.org/10.1016/j.finel.2013.05.002
[15] Such, M., Jimenez-Octavio, J. R., Carnicero, A., & Lopez-Garcia, O. (2009). An approach based on the catenary equation to deal with static analysis of three dimensional cable structures. Engineering Structures, 31(9), 2162-2170. https://doi.org/10.1016/J.ENGSTRUCT.2009.03.018
[16] Thai, H.-T., & Kim, S.-E. (2011). Nonlinear static and dynamic analysis of cable structures. Finite Elements in Analysis and Design, 47(3), 237-246. https://doi.org/10.1016/J.FINEL.2010.10.005
[17] Wei, J. D. (2006). Friction sliding cable element for structural analysis of prestressed steel truss. Chinese Journal of Computational Mechanics, 23(6), 800-806.
[18] Yang, Y. B., & Tsay, J.-Y. (2007). Geometric nonlinear analysis of cable structures with a two-node cable element by generalized displacement control method. International Journal of Structural Stability and Dynamics, 07(04), 571-588. https://doi.org/10.1142/S0219455407002435
[19] Yu, Z., Qiao, Y., Zhao, L., Xu, H., Zhao, S., & Liu, Y. (2018). A Simple Analytical Method for Evaluation of Flexible Rockfall Barrier Part 1: Working Mechanism and Analytical Solution. Advanced Steel Construction, 14(2), 115-141. https://doi.org/10.18057/IJASC.2018.14.2.1
[20] Zhao, L., He, J. W., Yu, Z. X., Liu, Y. P., Zhou, Z. H., & Chan, S. L. (2020). Coupled numerical simulation of a flexible barrier impacted by debris flow with boulders in front. Landslides. https://doi.org/10.1007/s10346-020-01463-x
[21] Zhao, L., Yu, Z.-X., Liu, Y.-P., He, J.-W., Chan, S.-L., & Zhao, S.-C. (2020). Numerical simulation of responses of flexible rockfall barriers under impact loading at different positions. Journal of Constructional Steel Research, 167, 105953. https://doi.org/10.1016/J.JCSR.2020.105953
[22] Zhou, B., Accorsi, M. L., & Leonard, J. W. (2004). Finite element formulation for modeling sliding cable elements. Computers and Structures. https://doi.org/10.1016/j.compstruc.2003.08.006