1996 Fiscal Year Final Research Report Summary
Research on Applications of the Group Theory Based Combinatorics Methods to Design Engineering
| Project/Area Number |
07805016
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
設計工学・機械要素・トライボロジー
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| Research Institution | HOKKAIDO UNSTITUTE OF TECHNOLOGY |
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Principal Investigator |
NARITA Yoshihiro Hokkaido Institute of Technology, Dept.of Mechanical Engineering, Professor, 工学部・機械工学科, 教授 (00137407)
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| Project Period (FY) |
1995 – 1996
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| Keywords | Group Theory / Combinatorics / Design Engineering / Polya Counting Theory / Composite Materials / Optimization |
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| Research Abstract |
In the fiscal year of 1995, basic ideas were developed to apply the combinatorics methods, which were based on the group theory, to mechanics and design problems in mechanical engineering. Particulary, an extension of "Polya Counting Theory", which was applied to some problems in the author's previous studies, was investigated. For the purpose, the cyclic polynomial approach was extended to include "indexed" polynomials. The alogorithm flows and software techniques were established by using the indexed cyclic polynomials, when some engineering problems were concerned.
In the fiscal year of 1996, the approach was applied to more realistic problems in engineering, such as combinations in mechanical behaviors of laminated composite plates and shells. Some analytical methods were also developed to effciently calculate the mechanical behaviors of laminated composite components. Two manuscripts are under final preparation to be submitted to foreign engineering journals. The titles are "Combinations of Dynamic Behaviors of Composite Rectangular Plates Under General Boundary Conditions" and "The combinatorics Study in Dynamic Behaviors of Laminated Shallow Shells".
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