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Steel and Composite Structures Volume 28, Number 3, August10 2018 , pages 381-388 DOI: https://doi.org/10.12989/scs.2018.28.3.381 |
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Forced vibration response in nanocomposite cylindrical shells - Based on strain gradient beam theory |
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Maryam Shokravi
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| Abstract | ||
| In this paper, forced vibration of micro cylindrical shell reinforced by functionally graded carbon nanotubes (FG-CNTs) is presented. The structure is subjected to transverse harmonic load and modeled by beam model. The size effects are considered based on strain gradient theory containing three small scale parameters. The mixture rule is used for obtaining the effective material properties of the structure. Based on sinusoidal shear deformation theory of beam, energy method and Hamilton\'s principle, the motion equations are derived. Applying differential quadrature method (DQM) and Newmark method, the frequency curves of the structure are plotted. The effect of different parameters including, CNTs volume percent and distribution type, boundary conditions, size effect and length to thickness ratio on the frequency curves of the structure is studied. Numerical results indicate that the dynamic deflection of the FGX-CNT-reinforced cylindrical is lower with respect to other type of CNT distribution. | ||
| Key Words | ||
| forced vibration; sinusoidal shear deformation theory of beam; micro cylindrical shell; FG-CNTs; strain gradient theory | ||
| Address | ||
| Buein Zahra Technical University, Buein Zahra, Qazvin, Iran. | ||