Large-deformation and friction analysis of non-linear elastic cable networks by second-order cone programming

A new formulation is presented for equilibrium shape analysis of cable networks considering geometrical and material non-linearities. Friction between cables and joint devices is also considered. The secondorder cone programming (SOCP) problem which has the same solution as that of minimization of total potential energy is solved to obtain the equilibrium con guration. The optimality conditions are derived to verify that the solution satis es equilibrium conditions and friction laws. Since no assumption on stress state is needed in the proposed method, no process of trial and error is involved. No e ort is required to develop any analysis software because SOCP can be solved by using the well-developed software based on the interior-point method