Optimized form finding method for cable net structure
A cable network structure and equation technology, applied in design optimization/simulation, special data processing applications, instruments, etc., can solve the problem of not being able to selectively control the coordinates of a single node, and achieve the effect of good applicability
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[0131] Such as image 3 and 4 As shown, the present invention provides two kinds of form-finding processes respectively, and the specific implementation methods are as follows:
[0132] 1. It can be seen from the derivation that when the external load is zero and the force of the members of the cable net is the same, the total length of the members is the smallest. At this time, the solution equations of the two are equivalent. On the mathematical level, Prato proposed the extreme The concept of small curved surface, the conjecture caused by soap bubbles, using an iron wire, will form a colored film in a balanced state. If we ignore the weight of the mixed liquid itself, and do not consider external disturbance factors such as wind force, then the potential energy of the film will reach the minimum value under the action of surface tension, and the curved shape presented by the soap film must have the minimum area. At present, the common minimal surfaces with analytic formul...
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