骨組構造物の最小重量設計

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Some studies on optimization of structures are carried on by using of SMUT incorporated with matrix structural analysis. But this technique is difficult to achieve in practice because the cpu-time for calculation extremely increas as increasing of the structural members. Thus further works are needed to develop a satisfactory technique of optimizing the ship structures. In this paper following two techniques are investigated in order to improve SUMT. (a) Linearization of constraints It can be considered that the change of design variables at each iteration are generally small, then consider the Taylor series expansion of constraints about the starting point at the iteration up to linear terms. The constraints can be evaluated by the obtained linear formulas instead of by accurate analysis, number of structural analysis may be decreased. (b) Multi-step optimization Divide whole structure into sub-structures, some design variables can be diminished by assuming that similar structural members which compose a sub-structure have equal dimensions. Optimizing the whole structure on the left design variables, the dimensions of the structural member obtained by such an optimization can be considered as approximation for actual optimum design. Repeat the same procedure using the approximate design as starting point and increasing the number of sub-structures. To compare the present methods to the normal one, several examples are performed by those methods. Application of linearization of constraints and multi-step optimization indicate that those techniques have good convergence property and computational efficiency, but it is shown that the multi-step technique is not effective for some cases.
社団法人日本船舶海洋工学会の論文

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本間康之
東京農工大学工学部

骨組構造物の最小重量設計

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