NONLINEAR PRESTRESS OF SPACE CABLE NET STRUCTURES
DOI:
https://doi.org/10.23918/eajse.v10i1p3Keywords:
Cable-net, Prestress, Geometric Nonlinearity, Self-Equilibrate, Force MethodAbstract
Cable-net structures are used for many structural purposes, such as stadiums, roofs, bridges…etc. They are lightweight structures that can be used in unique construction at an effective cost. Geometrical nonlinearity governs the performance of cable net systems. This particular system can equilibrate applied loads by undergoing significant deformations with small strains. Therefore, the cable-net structures require to attain a suitable degree of prestressing to prevent cables from slacking and to obtain specific geometry and function. The effective numerical approach is applied for computing the desired level of prestress for a three-dimensional cable-net model and a conical cable-net model. The targeted prestress is achieved considering the nonlinear behavior of cables. The nonlinear member variation is introduced as a second-order function of displaced joints. Then used in determining the desired prestress. Two numerical examples are conducted using the present technique and the nonlinear analysis of SAP2000. Both of the analysis outcomes for the models showed a very well agreement with reaching the target. However, using the Euclidean norm index with a value of 0.0809 in the first example confirmed that the current technique is more approachable to the desired prestress. In addition, when the value of actuation is pre-determined and used in computing the degree of prestress, both the present approach and SAP2000 software work equivalently, as seemed in the second example, which showed 0.04% of the maximum difference in the prestress computation.
References
[1] Hanaor A. Prestressed pin-jointed structures—flexibility analysis and prestress design.
Computers & structures 1988;28:757-69. https://doi.org/10.1016/0045-7949(88)90416-6.
[2] Li A, Liang X, Yuan X. Force Method for Displacement Adjustment of Prestressed Cable
Structures with Dynamic Relaxation Method. DEStech Transactions on Engineering and
Technology Research 2017. https://doi.org/10.12783/dtetr/iceta2016/7136.
[3] Cinquini C, Contro R. Prestressing design method for cable net structures. Engineering
Structures 1985;7:183-9. https://doi.org/10.1016/0141-0296(85)90045-8.
[4] Saeed N, Manguri A, Szczepanski M, Jankowski R. Non-Linear Analysis of Structures
Utilizing Load-Discretization of Stiffness Matrix Method with Coordinate Update. Applied
Sciences 2022;12:2394. https://doi.org/10.3390/app12052394.
[5] Saeed NM. Displacement Control of Nonlinear Pin-Jointed Assemblies Based on Force
Method and Optimization. AIAA Journal 2022;60:1024-31. https://doi.org/10.2514/1.J060568.
[6] Xu X, Luo Y. Non-linear displacement control of prestressed cable structures. Proceedings of
the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering
2009;223:1001-7. https://doi.org/10.1243/09544100JAERO455.
[7] Kwan ASK. A new approach to geometric nonlinearity of cable structures. Computers &
Structures 1998;67:243-52. https://doi.org/10.1016/S0045-7949(98)00052-2.
[8] Pellegrino S. Analysis of prestressed mechanisms. International Journal of Solids and
Structures 1990;26:1329-50. https://doi.org/10.1016/0020-7683(90)90082-7.
[9] Kwan A, Pellegrino S. Prestressing a space structure. AIAA journal 1993;31:1961-3.
https://doi.org/10.2514/3.11876.
[10] You Z. Displacement control of prestressed structures. Computer Methods in Applied
Mechanics and Engineering 1997;144:51-9. https://doi.org/10.1016/S0045-7825(96)01164-4.
[11] Dong S, Yuan X. Pretension process analysis of prestressed space grid structures. Journal of
Constructional Steel Research 2007;63:406-11. https://doi.org/10.1016/j.jcsr.2006.04.006.
[12] Guo J, Zhou D. Pretension simulation and experiment of a negative Gaussian curvature cable
dome. Engineering Structures 2016;127:737-47.
https://doi.org/10.1016/j.engstruct.2016.09.002.
[13] Levy R, Spillers WR. Analysis of geometrically nonlinear structures: Springer Science &
Business Media; 2003. https://doi.org/10.1007/978-94-017-0243-0.
[14] Abdulkarim SJ, Saeed NM. Nonlinear technique of prestressing spatial structures. Mechanics
Research Communications 2023;127:104040.
https://doi.org/10.1016/j.mechrescom.2022.104040.
[15] Xue Y, Wang Y, Xu X, Wan H-P, Luo Y, Shen Y. Comparison of different sensitivity matrices
relating element elongations to structural response of pin-jointed structures. Mechanics
Research Communications 2021;118:103789.
https://doi.org/10.1016/j.mechrescom.2021.103789.
[16] Fraddosio A, Pavone G, Piccioni MD. A novel method for determining the feasible integral
self-stress states for tensegrity structures. Curved and Layered Structures 2021;8:70-88.
https://doi.org/10.1515/cls-2021-0007.
[17] Calladine CR. Buckminster Fuller's “Tensegrity” structures and Clerk Maxwell's rules for the
construction of stiff frames. International Journal of Solids and Structures 1978;14:161-72.
https://doi.org/10.1016/0020-7683(78)90052-5.
[18] Luo Y, Lu J. Geometrically non-linear force method for assemblies with infinitesimal
mechanisms. Computers & Structures 2006;84:2194-9.
https://doi.org/10.1016/j.compstruc.2006.08.063.
[19] Yuan X, Liang X, Li A. Shape and force control of prestressed cable-strut structures based on
nonlinear force method. Advances in Structural Engineering 2016;19:1917-26.
https://doi.org/10.1177/1369433216652411.
[20] Saeed NM, Kwan ASK. Simultaneous displacement and internal force prescription in shape
control of pin-jointed assemblies. AIAA journal 2016;54:2499-506.
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