2017 Fiscal Year Final Research Report
Group theoretical analysis for nonlinear normal mode of solids
| Project/Area Number |
16K14117
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Materials/Mechanics of materials
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| Research Institution | Osaka University |
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Principal Investigator |
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| Project Period (FY) |
2016-04-01 – 2018-03-31
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| Keywords | 非線形分子振動 / 磁性点群 / カラー対称性 |
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| Outline of Final Research Achievements |
This study investigates the symmetry of nonlinear normal mode vibrations of a two-dimensional molecule. Present numerical analysis revealed that nonlinearity of the system excites higher order harmonics in the normal mode vibration. Fourier spectrum analysis revealed that vibration symmetry of the higher harmonics can be classified on the basis of magnetic point group rather than the conventional irreducible representation of point group. This result indicates that magnetic point group is the appropriate framework for classification of normal mode vibration of solids.
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| Free Research Field |
固体力学
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