2012 Fiscal Year Final Research Report
Synthesis of phononic periodic structures with dynamic damping structure
| Project/Area Number |
23656121
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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 |
Design engineering/Machine functional elements/Tribology
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| Research Institution | Nagoya University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
TAKAHASHI Toru 名古屋大学, 大学院・工学研究科, 講師 (90360578)
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| Co-Investigator(Renkei-kenkyūsha) |
YAMADA Takayuki 京都大学, 大学院・工学研究科, 助教 (30598222)
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| Project Period (FY) |
2011 – 2012
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| Keywords | シミュレーション工学 / 振動解析 / シンセシス / 境界要素法 / フォノニック構造 |
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| Research Abstract |
The present study intended to develop a numerical methodology that can be utilized for synthesizing the periodic structures shutting out the vibration. Such a structure might be realized by embedding substructures, which work as dynamic dampers, comprising different material properties from that of the matrix material. In the present research, we have to repeat calculating the wave transmission properties of infinite and/or finite periodic structures. Moreover, we have to optimize the shape and topology of the periodic structures by repeating the transmission and eigenfrequency analyses. Thus, we developed a fundamental computation algorithm for twodimensional and three-dimensional problems using the boundary element method incorporated with the periodic boundary conditions. Because the final system matrix obtained by the boundary element method provides a nonlinear eigenvalue problem, standard eigensolver has not been used so far. In this study, we applied a contour integral method, so-called block SS-method, to solve this nonlinear eigenvalue problem.
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