Summary: | 碩士 === 國立中央大學 === 土木工程學系 === 101 === This paper is study the efficiency between force method and displacement method applied to hybrid metaheuristic algorithm, namely HS-DLM,for topology optimization design of truesses wiht continuous and discrete variables.
Most structural optimization algorithms published in the literature were developed based on the displacement method of analysis which is incorporated inside the optimization routine. In the displacement method, the number of equations needed to be solved is the number of degrees of freedom for the system whereas that for the force method is the number of redundant forces.If the number of degrees of freedom is greater than the number of redundant in a structural system, the displacement method requires much more computer time than the force method does. Furthermore, the equilibrium matrix in the force method does not change when the topology and shape of truss is fixed in the redesign process making this method attractive and efficient.Using the HS(Harmony Search) global searching ability to find a fixed topology of truss, and find the constrained local minimum by applying DLM(Discrete Lagraingian Method). Afier a few iteration, the study shows that HS-DLM has great searching ability on the references’s cases and the force method has better efficiency of topology optimization design than displacement method.
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