| Project/Area Number |
13450095
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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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 | Iwaki Meisei University |
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Principal Investigator |
SHIMIZU Nobuyuki Iwaki Meisei University, College of Science and Technology, Professor, 理工学部, 教授 (10196529)
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| Co-Investigator(Kenkyū-buntansha) |
SATO Kenichi Nihon University, College of Engineering, Professor, 工学部, 教授 (30060130)
SATO Yoshihiro Sophia University, Faculty of Science and Technology, Instructor, 理工学部, 講師 (60053716)
TAKUYA Yasuno Iwaki Meisei University, College of Science and Technology, Associate Professor, 理工学部, 助教授 (90262237)
高橋 義考 いわき明星大学, 理工学部, 助手 (00285719)
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| Project Period (FY) |
2001 – 2003
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| Project Status |
Completed (Fiscal Year 2003)
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| Budget Amount *help |
¥14,600,000 (Direct Cost: ¥14,600,000)
Fiscal Year 2003: ¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 2002: ¥4,300,000 (Direct Cost: ¥4,300,000)
Fiscal Year 2001: ¥7,900,000 (Direct Cost: ¥7,900,000)
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| Keywords | high polymer material / fractal geometry / fractional derivative / net density / SEM picture / viscoelastic material / nonlinearity / fractional diffusion equation / 分数解微分 |
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| Research Abstract |
The correlation of the fractional derivative structure and the fractal geometry in viscoelastic materials is tried to be found from the theoretical and experimental approaches. The detailed study points are
1. Experiments for establishing fractional derivative model for viscoelastic material,
2. Dynamical test for acrylic rubber,
3. Observation of the structure of viscoelastic body by the electric microscope,
4. Clarification of the contacting point between fractional, derivative model and fractal geometry.
and the following detailed results are obtained;
・Numerical solution of fractional diffusion equation with source point,
・Some relations of fracture phenomenon and fractal model,
・Relation of the density and the fractional derivative parameters of acrylic rubber,
・Nonlear behavior of viscoelastic material by the actuation experiment.
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