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Structural Engineering and Mechanics Volume 49, Number 5, March10 2014 , pages 661-672 DOI: https://doi.org/10.12989/sem.2014.49.5.661 |
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Exact solution for transverse bending analysis of embedded laminated Mindlin plate |
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Mohammad Mehdi Heydari, Reza Kolahchi, Morteza Heydari and Ali Abbasi
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| Abstract | ||
| Laminated Rectangular plates embedded in elastic foundations are used in many mechanical structures. This study presents an analytical approach for transverse bending analysis of an embedded symmetric laminated rectangular plate using Mindlin plate theory. The surrounding elastic medium is simulated using Pasternak foundation. Adopting the Mindlin plate theory, the governing equations are derived based on strain-displacement relation, energy method and Hamilton\'s principle. The exact analysis is performed for this case when all four ends are simply supported. The effects of the plate length, elastic medium and applied force on the plate transverse bending are shown. Results indicate that the maximum deflection of the laminated plate decreases when considering an elastic medium. In addition, the deflection of the laminated plate increases with increasing the plate width and length. | ||
| Key Words | ||
| transverse bending; mindlin plate theory; energy method; pasternak model | ||
| Address | ||
| Mohammad Mehdi Heydari, Reza Kolahchi, Morteza Heydari and Ali Abbasi : Young Researchers and Elite Club, Kashan Branch, Islamic Azad University, Kashan, Iran | ||