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Advances in Nano Research Volume 6, Number 3, September 2018 , pages 201-217 DOI: https://doi.org/10.12989/anr.2018.6.3.201 |
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Elastic wave dispersion modelling within rotating functionally graded nanobeams in thermal environment |
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Farzad Ebrahimi and Parisa Haghi
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| Abstract | ||
| In the present research, wave propagation characteristics of a rotating FG nanobeam undergoing rotation is studied based on nonlocal strain gradient theory. Material properties of nanobeam are assumed to change gradually across the thickness of nanobeam according to Mori-Tanaka distribution model. The governing partial differential equations are derived for the rotating FG nanobeam by applying the Hamilton's principle in the framework of Euler-Bernoulli beam model. An analytical solution is applied to obtain wave frequencies, phase velocities and escape frequencies. It is observed that wave dispersion characteristics of rotating FG nanobeams are extremely influenced by angular velocity, wave number, nonlocal parameter, length scale parameter, temperature change and material graduation. | ||
| Key Words | ||
| functionally graded materials; nonlocal strain gradient theory; wave dispersion characteristics; rotating nanobeam | ||
| Address | ||
| Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, 3414916818, Qazvin, Iran. | ||