“…Currently, the shape-finding analysis of cable-supported structures in the construction process mostly focuses on conventional planar, folded, circular, elliptical or parallel shapes, and many theories and methods have been proposed, e.g., a dynamic relaxation method by Motro et al [ 17 ], a force-density method by Schek [ 18 ], a nonlinear force method by Luo and Shen [ 19 ], a nonlinear force density method by Koohestani [ 20 ], a nonlinear dynamic finite element method by Ding et al [ 21 ], a double singular value decomposition method without changing the predefined shape by Zhou et al [ 22 ], a catenary equation-based component force balancing method by Jiang et al [ 23 ], and a novel machine learning approach by Du et al [ 24 ]. By solving the noncompatibility problem between cable and beam elements, Nie et al [ 25 ] coupled the cable network and supporting frame to accurately model the real equilibrium state in an optimization model and derived the linear form for the determination of the free node coordinates from systematic equilibrium equations.…”