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It is discussed the optimization design of prestressed cable-truss structures with itsdesign variables including cables' pretension force, cross section size of member and structural topology. A relevant mathematics model is founded with its objective function to minimize the structural weight with stress constrain considered. In the order to solve the problem, a liner programming model is established by fully stress method to calculate cables' pretension force and cross section size of member. Then a conclusion is proved that the optimal solution of the liner programming model makes at least one member cross-section size zero in each iteration, and topology optimization is completed by deleting the member. The result of the examples in this paper coincides with corresponding structural performance, which indicates the method in this paper is effective and efficient, and can provide reasonable layout for prestressed cable-truss structures.
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