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Structural Engineering and Mechanics Volume 70, Number 1, April10 2019 , pages 55-66 DOI: https://doi.org/10.12989/sem.2019.70.1.055 |
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Wave propagation of functionally graded anisotropic nanoplates resting on Winkler-Pasternak foundation |
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Behrouz Karami, Maziar Janghorban and Abdelouahed Tounsi
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| Abstract | ||
| This work deals with the size-dependent wave propagation analysis of functionally graded (FG) anisotropic nanoplates based on a nonlocal strain gradient refined plate model. The present model incorporates two scale coefficients to examine wave dispersion relations more accurately. Material properties of FG anisotropic nanoplates are exponentially varying in the z-direction. In order to solve the governing equations for bulk waves, an analytical method is performed and wave frequencies and phase velocities are obtained as a function of wave number. The influences of several important parameters such as material graduation exponent, geometry, Winkler-Pasternak foundation parameters and wave number on the wave propagation of FG anisotropic nanoplates resting on the elastic foundation are investigated and discussed in detail. It is concluded that these parameters play significant roles on the wave propagation behavior of the nanoplates. From the best knowledge of authors, it is the first time that FG nanoplate made of anisotropic materials is investigated, so, presented numerical results can serve as benchmarks for future analysis of such structures. | ||
| Key Words | ||
| wave propagation; functionally graded anisotropic materials; nonlocal strain gradient theory; four variable shear deformation refined plate theory; elastic foundation | ||
| Address | ||
| Behrouz Karami and Maziar Janghorban: Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran Abdelouahed Tounsi: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria | ||