Equivalent property between the one-half order and first-order shear deformation theories under the simply supported boundary conditions
| Autor: | Mitsuru Endo |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Shearing (physics)
Timoshenko beam theory Mechanical Engineering Geometry 02 engineering and technology Bending of plates 021001 nanoscience & nanotechnology Condensed Matter Physics Physics::Fluid Dynamics Simple shear 020303 mechanical engineering & transports 0203 mechanical engineering Shear (geology) Mechanics of Materials Deflection (engineering) Plate theory General Materials Science Boundary value problem 0210 nano-technology Civil and Structural Engineering Mathematics |
| Zdroj: | International Journal of Mechanical Sciences. :245-251 |
| ISSN: | 0020-7403 |
| Popis: | It was verified that if the boundary conditions for all edges of a plate or both ends of a beam are assumed to be simply supported the theoretical framework of the one-half order shear deformation plate or beam theory with total deflection w being assumed as the sum of the bending and shearing deflections w b and w s results in being equivalent to that of the Mindlin plate theory or the Timoshenko beam theory. Based on its equivalent property, exact frequency relationships between the classical Kirchhoff plate and the above two equivalent shear deformable plate theories were deduced for general polygonal plates with all edges simply supported, and in addition an approximate frequency relationship which has a very simple form and almost enough accuracy for practical use was obtained based on the series-type synthetic-frequency method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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