1994 Fiscal Year Final Research Report Summary
Development of Sensitivity Analysis and Reanalysis mothods for Nonlinear
| Project/Area Number |
04555100
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| Research Category |
Grant-in-Aid for Developmental Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
船舶構造・建造
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| Research Institution | HIROSHIMA UNIVERSITY |
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Principal Investigator |
YAO Tetsuya Hiroshima Univ., Faculty of Eng., Professor, 工学部, 教授 (20029284)
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| Co-Investigator(Kenkyū-buntansha) |
MIYAGAWA Yoshio Hiroshima Univ., Faculty of Eng., Research Ass., 工学部, 助手 (50229803)
FUJIKUBO Masahiko Hiroshima Univ., Faculty of Eng., Ass.Prof., 工学部, 助教授 (30156848)
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| Project Period (FY) |
1992 – 1994
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| Keywords | Sensitivity analysis / Reanalysis / Taylor series expansion method / Material Non-linearity / Geometrical Non-linearity / Yielding strength / Buckling strength / Optimal Design |
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| Research Abstract |
At the starting point of this research project, only the development of methods for sensitivity analysis and reanalysis for nonlinear structural responses were aimed. However, from the practical point of view, structural optimization was also included applying the developed methods.
At the beginning, the method of sensitivity analysis was developed for elastoplastic structural responses in the framework of the finite element method. For reanalysis of elastoplastic structural behavior, Taylor's series expansion method was applied. The sensitivities of elastoplastic responses of truss, frame and plate structures were calculated. The reanalysis solutions applying the proposed method were found to be in good agreement with the exact solutins. It was also found that the sensitivities of load magnification factors which enables exact yielding of elements play an important role in reanalysis.
The methods of sensitivity analysis for post-buckling elastic behavior were also developed for beam-columns and stiffened plates. The finite element methods was applied for beam-columns, and the analytical method for stiffened plates. It was found that the reanalysis solution is largely different from the exact solution near the buckling load when the analysis is performed under load control.
At the end, the developed methods were incorporated into the optimal design procedure. Then, the optimization of truss structure allowing yielding and that of stiffened plates allowing elastic panel buckling were performed, and the usefulness of the proposed method was demonstrated.
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