DOI QR코드

DOI QR Code

Optimal design of spoke double-layer cable-net structures based on an energy principle

  • Ding, Mingmin (College of Civil Engineering, Nanjing Forestry University) ;
  • Luo, Bin (Department of Civil Engineering, Southeast University) ;
  • Han, Lifeng (Cob Development (Suzhou) Co. Ltd.) ;
  • Shi, Qianhao (Wuxi Civil Architecture Design Institute Co. Ltd.) ;
  • Guo, Zhengxing (Department of Civil Engineering, Southeast University)
  • 투고 : 2018.06.25
  • 심사 : 2020.01.03
  • 발행 : 2020.05.25

초록

An optimal design method for a spoke double-layer cable-net structure (SDLC) is proposed in this study. Simplified calculation models of the SDLC are put forward to reveal the static responses under vertical loads and wind loads. Next, based on an energy principle, the relationship among the initial prestress level, cross-sectional areas of the components, rise height, sag height, overall displacement, and relative deformation is proposed. Moreover, a calculation model of the Foshan Center SDLC is built and optimized. Given the limited loading cases, material properties of the components, and variation ranges of the rise height and sag height, the self-weight and initial prestress level of the entire structure can be obtained. Because the self-weight of the cables decreases with increasing of the rise height and sag height, while the self-weight of the inner strut increases, the total weight of the entire structure successively exhibits a sharp reduction, a gradual decrease, a slow increase, and a sharp increase during the optimization process. For the simplified model, the optimal design corresponds to the combination of rise height and sag height that results in an appropriate prestress level of the entire structure with the minimum total weight.

키워드

과제정보

The authors acknowledge the financial support of the National Natural Science Foundation of China (Grants No 11673039), the Natural Science Foundation of Jiangsu Province (Grants No BK20190753), the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grants No 18KJB560011), and the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD).

참고문헌

  1. Deng, H., Li, T., Wang, Z. and Ma, X. (2014), "Pretension Design of Space Mesh reflector antennas based on projection principle", J. Aerosp. Eng., 28(6), 04014142. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000483.
  2. GB 50017 (2003). Code for design of steel structures, China Architecture & Building Press; Beijing, China.
  3. GB 50009 (2012), Load code for the design of building structures, China Architecture & Building Press; Beijing, China.
  4. Guo, J. and Jiang, J. (2016), "An algorithm for calculating the feasible pre-stress of cable-struts structure", Eng. Struct., 118, 228-239. https://doi.org/10.1016/j.engstruct.2016.03.058.
  5. Kawaguchi, M., Tatemichi, I. and Chen, P.S. (1999), "Optimum shapes of a cable dome structure", Eng. Struct., 21(8), 719-725. https://doi.org/10.1016/S0141-0296(98)00026-1.
  6. Liu, F., Li, H.J. and Wang, T.C. (2008), "Energy principle and nonlinear electric-mechanical behavior of ferroelectric ceramics", Acta Mech., 198(3-4), 147-170. https://doi.org/10.1007/s00707-007-0530-0.
  7. Liu, R.W., Guo, H.W., Liu, R.Q., Wang, H.X., Tang, D.W. and Song, X.K. (2017), "Shape accuracy optimization for cable-rib tension deployable antenna structure with tensioned cables", Acta Astronaut., 140, 66-77. https://doi.org/10.1016/j.actaastro.2017.07.047.
  8. Liu, W., Li, D.X. and Jiang, J.P. (2013), "Mesh topological form design and geometrical configuration generation for cable-network antenna reflector structures", Struct. Eng. Mech., 45(3), 411-422. https://doi.org/10.12989/sem.2013.45.3.411.
  9. Luo, X.Q., Zhang, Q.L. and Chen, L. (2012), "Form-finding of a mixed structure with cable nets and tubular trusses", J. Constr. Steel. Res., 72(4), 192-202. https://doi.org/10.1016/j.jcsr.2011.12.005.
  10. Makris, P.A., Provatidis, C.G. and Venetsanos, D.T. (2006), "Structural optimization of thin-walled tubular trusses using a virtual strain energy density approach", Thin Wall. Struct., 44(2), 235-246. https://doi.org/10.1016/j.tws.2006.01.005.
  11. Prada, A.D.L. and Gonzalez, M. (2014), "Assessing the suitability of gradient-based energy minimization methods to calculate the equilibrium shape of netting structures", Comput. Struct., 135,128-140. https://doi.org/10.1016/j.compstruc.2014.01.021.
  12. Reissner, E. (1946), "Analysis of shear lag in box beams by the principle of the minimum potential energy", Q. Appl. Math., 4(3), 268-278. https://doi.org/10.1090/qam/17176
  13. Toklu, Y.C., Bekdas, G. and Temur, R. (2017), "Analysis of cable structures through energy minimization", Struct. Eng. Mech., 62(6): 749-758. https://doi.org/10.12989/sem.2017.62.6.749.
  14. Toklu, Y.C., Bekdas, G. and Temur, R. (2013), "Analysis of trusses by total potential optimization method coupled with harmony search", Struct. Eng. Mech., 45(2), 183-199. https://doi.org/10.12989/sem.2013.45.2.183.
  15. Vu, T.V., Lee, H.E. and Bui, Q.T. (2012), "Nonlinear analysis of cable-supported structures with a spatial catenary cable element", Struct. Eng. Mech., 43(5), 583-605. https://doi.org/10.12989/sem.2012.43.5.583.
  16. Wang, L., Wu, Y. and Wang, D. (2014), "Thermal effect on damaged stay-cables", J. Theor. App. Mech-pol., 52(4), 1071-1082. https://doi.org/10.15632/jtam-pl.52.4.1071.

피인용 문헌

  1. Probabilistic Assessment Approach of the Aerostatic Instability of Long-Span Symmetry Cable-Stayed Bridges vol.13, pp.12, 2021, https://doi.org/10.3390/sym13122413