Second-Order Cone Programming for Shape Analysis and Form Finding of Cable Networks

A method is presented for equilibrium shape analysis and form finding of cable networks considering geometrical nonlinearities as well as stress-unilateral behavior. The Second-Order Cone Programming (SOCP) problem which has the same solution as that of the minimization problem of total potential energy is solved to obtain the equilibrium configuration. Since no assumption of stress state is needed in the proposed method, no process of trial-and-error is required. Equilibrium shape or member initial lengths are obtained by solving an SOCP problem. Numerical examples are shown by using the well-developed software based on the primal-dual interior-point method.

• INTRODUCTION

• EQUILIBRIUM SHAPE ANALYSIS BASED ON SOCP

• FORM FINDING PROBLEM BASED ON SOCP

• EXAMPLES

• CONCLUSIONS

• REFERENCES