Optimum design method, and apparatus, and program for the same

Details Optimum design method, and apparatus, and program for the same Optimum design method, and apparatus, and program for the same

2008-01-15

2008-01-15

Phan, Thai (Department: 2128)

Data processing: structural design, modeling, simulation, and em

Modeling by mathematical expression

C703S006000, C700S028000, C700S038000, C706S025000, C708S422000

Reexamination Certificate

active

07319943

ABSTRACT:
In an optimum design method comprising a first solution determining step of solving an optimization problem of a first evaluation function for a state variable vector with a design variable vector being as a parameter, and a second solution determining step of solving an optimization problem of a second evaluation function for the design variable vector and the state variable vector thus obtained, the second solution determining step includes the steps of computing a gradient vector of the second evaluation function for the design variable vector, computing a first coefficient based on a value of a norm of the gradient vector, computing a search vector based on the first coefficient, computing a second coefficient, and updating the design variable vector based on the second coefficient. The second coefficient computing step includes the first solution determining step, the first solution determining step is executed as an iterative method based on the gradient vector, and the state variable vector is not initialized during iteration. The optimum design method is precisely adaptable for structural changes.

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English translation and description for figures of Hiroshi Yamakawa, “Saitekika Dezain (Optimized Design)”, Computation Mechanics and CAE Series 9, Baifukan Co., Ltd., 1993.
4. English translation of Fujii, Suzuki and Otsubo, “Topology Optimization of Structures Using Voxel Finite Element Method”, Transactions of JSCES, Paper No. 200000010, 2000.

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