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Structural Engineering and Mechanics Volume 68, Number 6, December25 2018 , pages 701-711 DOI: https://doi.org/10.12989/sem.2018.68.6.701 |
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NSGT-based acoustical wave dispersion characteristics of thermo-magnetically actuated double-nanobeam systems |
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Farzad Ebrahimi and Ali Dabbagh
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| Abstract | ||
| Herein, the thermo-magneto-elastic wave dispersion answers of functionally graded (FG) double-nanobeam systems (DNBSs) are surveyed implementing a nonlocal strain gradient theory (NSGT). The kinematic relations are derived employing the classical beam theory. Also, scale influences are covered precisely in the framework of NSGT. Moreover, Mori-Tanaka homogenization model is introduced in order to obtain the effective material properties of FG nanobeams. Meanwhile, effects of external forces such as thermal and Lorentz forces are included in this research. Also, based upon the Hamilton\'s principle, the Euler-Lagrange equations are developed; afterwards, these equations are incorporated with those of NSGT to reach the nonlocal governing equations of FG-DNBSs. Furthermore, according to an analytical approach, the governing equations are solved to obtain the wave frequencies and phase velocities of FG-DNBSs. At the end, some illustrations are rendered to clarify the influences of a wide range of involved parameters. | ||
| Key Words | ||
| wave propagation; Mori-Tanaka homogenization scheme; functionally graded materials (FGMs); double-nanobeam systems (DNBSs) | ||
| Address | ||
| Farzad Ebrahimi: Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran Ali Dabbagh: School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran | ||