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Structural Engineering and Mechanics Volume 67, Number 2, July25 2018 , pages 175-183 DOI: https://doi.org/10.12989/sem.2018.67.2.175 |
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Analytical wave dispersion modeling in advanced piezoelectric double-layered nanobeam systems |
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F. Ebrahimi, P. Haghi and A. Dabbagh
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| Abstract | ||
| This research deals with the wave dispersion analysis of functionally graded double-layered nanobeam systems (FG-DNBSs) considering the piezoelectric effect based on nonlocal strain gradient theory. The nanobeam is modeled via Euler-Bernoulli beam theory. Material properties are considered to change gradually along the nanobeams\' thickness on the basis of the rule of mixture. By implementing a Hamiltonian approach, the Euler-Lagrange equations of piezoelectric FG-DNBSs are obtained. Furthermore, applying an analytical solution, the dispersion relations of smart FG-DNBSs are derived by solving an eigenvalue problem. The effects of various parameters such as nonlocality, length scale parameter, interlayer stiffness, applied electric voltage, relative motions and gradient index on the wave dispersion characteristics of nanoscale beam have been investigated. Also, validity of reported results is proven in the framework of a diagram showing the convergence of this model\'s curve with that of a previous published attempt. | ||
| Key Words | ||
| wave propagation; functionally graded double-layered nanobeam systems (FG-DNBSs); smart materials; non-local strain gradient piezoelectricity | ||
| Address | ||
| F. Ebrahimi and P. Haghi: Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, P.O.B. 16818-34149, Qazvin, Iran A. Dabbagh: School of Mechanical Engineering, College of Engineering, University of Tehran, P.O.B. 4563-11155, Tehran, Iran | ||