| Project/Area Number |
17560206
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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 |
Dynamics/Control
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| Research Institution | Nagoya University |
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Principal Investigator |
KAMIYA Keisuke Nagoya University, Graduate School of Engineering, Associate Professor, 大学院工学研究科, 助教授 (50242821)
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| Co-Investigator(Kenkyū-buntansha) |
MATSUMOTO Toshiro Nagoya University, Graduate School of Engineering, Professor, 大学院工学研究科, 教授 (10209645)
SUZUKI Akihiro Nagoya University, Graduate School of Engineering, Research Associate, 大学院工学研究科, 助手 (60335073)
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| Project Period (FY) |
2005 – 2006
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| Project Status |
Completed (Fiscal Year 2006)
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| Budget Amount *help |
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 2006: ¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 2005: ¥2,100,000 (Direct Cost: ¥2,100,000)
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| Keywords | Breathing crack / Dynamic response / Non-destructive detection / Finite element method / Mixed variational principle / Beam / Frame structure |
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| Research Abstract |
In this project, first, we developed a method for vibration analysis of a beam with breathing cracks. In the developed method, the governing equations are formulated using the finite element method based on the mixed variational principle. Then, the governing equation is solved using the incremental harmonic balance method. We confirmed that the developed method can analyze steady-state vibrations of a beam with breathing cracks with high accuracy and efficiency. Next, we developed a detection technique of breathing cracks in a beam using dynamic response based on the developed analysis method. We confirmed via numerical simulation that the developed detection technique can detect breathing cracks accurately. Next, in order to check further the applicability of the developed detection technique, we conducted experiment. In the experiment we used a steel beam with a breathing crack. The breathing crack was simulated by a thin saw-cut to which the thin steel plate with the same thickness as the width of the saw-cut was inserted. We used measured data from the experiment to detect the crack. The accurate detection result was observed. Thus we confirmed the applicability of the developed detection technique for a beam. Finally, we extended the detection technique for a beam to a technique for a frame structure whose typical is a piping system. The developed analysis method based on the mixed variational principle has feature that it can be applied to such a frame structure without large modification. Thus the procedure of the detection technique for a frame structure is very similar to that for a beam. The applicability of the extended detection technique was confirmed by numerical simulation.
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