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Smart Structures and Systems Volume 20, Number 3, September 2017 , pages 351-368 DOI: https://doi.org/10.12989/sss.2017.20.3.351 |
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Nonlocal thermo-electro-mechanical vibration analysis of smart curved FG piezoelectric Timoshenko nanobeam |
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Farzad Ebrahimi and Mohsen Daman
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| Abstract | ||
| To peruse the free vibration of curved functionally graded piezoelectric (FGP) nanosize beam in thermal environment, nonlocal elasticity theory is applied for modeling the nano scale effect. The governing equations are obtained via the energy method. Analytically Navier solution is employed to solve the governing equations for simply supported boundary conditions. Solving these equations enables us to estimate the natural frequency for curved FGP nanobeam under the effect of a uniform temperature change and external electric voltage. The results determined are verified by comparing the results by available ones in literature. The effects of various parameters such as nonlocality, uniform temperature changes, external electric voltage, gradient index, opening angle and aspect ratio of curved FGP nanobeam on the natural frequency are successfully discussed. The results revealed that the natural frequency of curved FGP nanobeam is significantly influenced by these effects. | ||
| Key Words | ||
| curved nanobeam; thermo-electro-mechanical vibration; piezoelectric nanobeams; functionally graded material; nonlocal elasticity | ||
| Address | ||
| Farzad Ebrahimi and Mohsen Daman: Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran P.O.B. 16818-34149 | ||