Mathematical Analyses on Dynamic Response and Nonlinear Instability for Functionally Inhomogeneous Flexible Structural Members Due to Thermal Loading
| Project/Area Number |
17560077
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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 |
Materials/Mechanics of materials
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| Research Institution | Osaka Prefecture University |
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Principal Investigator |
YOSHINOBU Tanigawa Osaka Prefecture University, Graduate School of Engineering, Professor, 工学研究科, 教授 (30081219)
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| Co-Investigator(Kenkyū-buntansha) |
RYUUSUKE Kawamura Osaka Prefecture University, Graduate School of Engineering, Instructor, 工学研究科, 助手 (70234135)
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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 |
¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 2006: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2005: ¥2,000,000 (Direct Cost: ¥2,000,000)
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| Keywords | Mechanical Engineering Materials and Mechanics of Materials / Inhomogeneous Materials / Thermoelastic Stability / Thermal Buckling and Post-Buckling / Thermally Induced Vibration |
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| Research Abstract |
In this research project, mathematical analyses of two problems such as both thermal buckling, thermoelastic instability and thermally induced vibration due to cyclic loadings for functionally inhomogeneous flexible structures are treated. In the mathematical analyses, structural elements such as thin-walled rectangular plates and strips, and thin-walled plates on an elastic foundation are considered. It is assumed that inhomogeneity in material properties is given in a form of a power product of a thickness coordinate. Critical buckling temperatures for inhomogeneous rectangular plates under nonuniform transient temperature field, amplitudes of deflection and the associated stresses in the post-buckling state for functionally graded thin-walled strips under bi-axial compression, and critical buckling loads and buckling wavelength for thin-walled strips have been derived mathematically in the problems of thermal buckling and thermoelastic instability for functionally inhomogeneous flex
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ible structures. Then, numerical calculations have been performed and effects of geometries in plates and inhomogeneity in material properties on critical buckling temperatures and post-buckling behavior have been examined systematically. On the other hand, one-dimensional unsteady temperature changes for inhomogeneous rectangular plates subjected to sinusoidally time-varying heat supply on the surface, dynamic responses of out-of-plane deflections and stresses due to cyclic temperature changes and cyclic transverse loads have been derived mathematically in the thermally induced vibration for functionally inhomogeneous flexible structures. Thereafter, effects of conditions of heating, angular frequencies in loadings and inhomogeneity in material properties on thermally induced vibration and interaction between dynamic response due to cyclic temperature change and that due to transverse mechanical load have been examined systematically. Some of results on problem of thermally induced vibration for functionally inhomogeneous structures due to cyclic loads could not be obtained yet, but they will be published in the near future. Less
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Report
(3 results)
Research Products
(13 results)
