Configuration approach to reciprocal structures assembled by curved rods based on optimization algorithm
Compared with the straight bar reciprocal structure,the curved rod reciprocal structure which meets the requirements of reciprocal configuration has fewer specifications and is easier to achieve the target surface.In order to achieve the configuration of the curved rod reciprocal structure,the parameters of the basic element of the curved rod reciprocal structure were defined,and the overlapping relationship between the curved bars was simplified to the positional relationship between the tangents at the overlapping point.Then the mathematical expression of the curved rod reciprocal structure was deduced,and the optimization algorithm objective function was obtained.By means of optimization algorithms,curved rod reciprocal structure can be constructed.Finally,based on the proposed method,the reciprocal structure composed of six curved bars and the 63-type Archimedes tilings cylindrical curved bar reciprocal structure were configured,which then was compared with the prototype model to verify the feasibility of the proposed method.The results show that the error rate between the test results and the theoretical calculations is less than 2％,and the proposed method is feasible.Furthermore,the 63-type Archimedes tilings cylindrical curved bar reciprocal structure was compared to the same type of straight rod reciprocal structure.The results show that the reciprocal structure is easier to adapt to the curved shape and the types of rods are reduced because of the addition of the curved rod.
国家科技期刊平台
NSTL
万方数据
维普
