Stabilization behavior of impact system with constraint phenomenon
| Project/Area Number |
25330290
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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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| Research Field |
Soft computing
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| Research Institution | Oita University |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
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| Keywords | 衝突振動系 / 安定性 / 拘束 / 分岐 / カオス |
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| Outline of Final Research Achievements |
This application discussed the bifurcation phenomena of the constrained periodic orbit in an impact oscillator with periodic border. First, I proposed the stability analysis method using Floquet and Filippov theory. Next, I applied the proposed method for a bouncing ball model with periodic border. As a result, we found the periodic orbit with the mechanical constraint is a super-stable periodic orbit. Finally, I discussed the bifurcation mechanism for the circuit model, which simulates the behavior of the bouncing ball model with periodically vibration table.
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Report
(4 results)
Research Products
(9 results)
