Form-finding process of cable structures is a significant problem for the structure. Unlike normal structures three are three states in tension structures: 1) initial state; 2) pre-stress state; 3) load state. For the design of tension structures including cable structures and membrane structures, the form-finding process that determinates the pre-stress distribution and corresponding geometry of the structure is a key problem. The problem is classified into three kinds: 1) The geometry is known but the pre-stress distribution is unknown; 2) The geometry is unknown but the pre-stress distribution is known; 3) Both the geometry and the pre-stress distribution are unknown.For the problem of the second and the third kinds, many methods are developed such as the finite element method, the dynamic relaxation, the force density method etc. A successful method for the first kind of the problem of the cable structures is the inverse iteration method. The principal of the inverse iteration method is stated and the method is applied to form-finding process. According the geometry of the pre-stress state of the structure, the inverse iteration method is used to determinate the initial geometry of the structures and the pres-tress distribution when the structure is deformed to the pre-stress state from the initial state in which members of the structures have initial lengths. Numerical examples show the high accuracy and the universality of this method.
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