2022 Fiscal Year Final Research Report
Development of Analytical Method on Low-computational-cost Nonlinear Vibrations of a Complex-shaped Thin Walled Plate with Dividing Segments
| Project/Area Number |
20K04358
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Review Section |
Basic Section 20010:Mechanics and mechatronics-related
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| Research Institution | Gunma University |
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Principal Investigator |
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| Project Period (FY) |
2020-04-01 – 2023-03-31
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| Keywords | 非線形振動 |
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| Outline of Final Research Achievements |
Aiming at developing analytical method of nonlinear vibrations of complex-shaped flat and curved plates, a formulation is proposed in which the plates are divided into segments with relatively small number and the deflection and in-plane displacements in the segments are assumed with higher order differentiable functions. First, the analytical method previously proposed in which the plates are divided into segments with orthogonal shape is extended to that based on non-orthogonal shape to meet the analysis of complex-shaped plates. Furthermore, the method was also extended to the vibrations of shallow shell-panel in which in-plane displacement and lateral deflection is coupled. The analytical results were compared with existing exact solutions which verify the presented analysis.
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| Free Research Field |
機械力学
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| Academic Significance and Societal Importance of the Research Achievements |
極端な軽量化や微細化が進展する近年の機械要素において，各方向の変形が連成した複雑な振動応答の解析を，高精度かつ低コストで行うことは重要であり，その確立につながる成果が得られたものと言える．
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