NONLINEAR FREE VIBRATION ANALYSIS OF THE POLYMERIC NANOCOMPOSITE VISCOELASTIC PLATES CONTAINING CARBON NANOTUBES

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KORANIAN SEYED EISA; ESMAEILZADEH KHADEM SIAMAK; KOKABI MEHRDAD

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Journal: Modares Mechanical Engineering Year:2017 | Volume:16 | Issue:11 Page(s): 429-438

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Title

NONLINEAR FREE VIBRATION ANALYSIS OF THE POLYMERIC NANOCOMPOSITE VISCOELASTIC PLATES CONTAINING CARBON NANOTUBES

Author(s)

KORANIAN SEYED EISA | ESMAEILZADEH KHADEM SIAMAK | KOKABI MEHRDAD | Issue Writer Certificate

Keywords

MULTIPLE SCALES METHODQ2

NONLINEAR VIBRATIONQ2

NANOCOMPOSITEQ2

VISCOELASTIC MATERIALSQ1

Abstract

The present study probes the nonlinear free vibrations of viscoelastic polymeric composite plate reinforced by carbon nanotubes. For this purpose, Kelvin-Voigt model is utilized. Moreover, the equations of motion are extracted by the Hamilton principle and take Von Karman nonlinearity into account. In order to solve and analyze nonlinear free vibrations, the researchers utilized MULTIPLE SCALES METHOD. Using this method, the normal nonlinear frequencies of the system were obtained and the impact of various factors such as dampness coefficient, material viscosity and carbon nanotubes volume fraction were investigated. Besides, the thickness-dimension ratio of the plate and its impact on the normal frequency was also studied. The findings of the study highlighted that an increase in the ratio of plate’s thickness to its length causes an increase in the normal nonlinear frequency of the plate.Additionally, as the volume fraction of the carbon nanotubes increases, system’s normal nonlinear frequency increases as well. Finally, the impact of different distribution of carbon nanotubes on the normal nonlinear frequency and system’s time response was also probed. As was observed, nonlinear frequency for FG-O distribution was more than that of for the uniform distribution, but the trend was reverse for FG-X distribution.

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APA: Copy

KORANIAN, SEYED EISA, ESMAEILZADEH KHADEM, SIAMAK, & KOKABI, MEHRDAD. (2017). NONLINEAR FREE VIBRATION ANALYSIS OF THE POLYMERIC NANOCOMPOSITE VISCOELASTIC PLATES CONTAINING CARBON NANOTUBES. MODARES MECHANICAL ENGINEERING, 16(11 ), 429-438. SID. https://sid.ir/paper/178914/en

Vancouver: Copy

KORANIAN SEYED EISA, ESMAEILZADEH KHADEM SIAMAK, KOKABI MEHRDAD. NONLINEAR FREE VIBRATION ANALYSIS OF THE POLYMERIC NANOCOMPOSITE VISCOELASTIC PLATES CONTAINING CARBON NANOTUBES. MODARES MECHANICAL ENGINEERING[Internet]. 2017;16(11 ):429-438. Available from: https://sid.ir/paper/178914/en

IEEE: Copy

SEYED EISA KORANIAN, SIAMAK ESMAEILZADEH KHADEM, and MEHRDAD KOKABI, “NONLINEAR FREE VIBRATION ANALYSIS OF THE POLYMERIC NANOCOMPOSITE VISCOELASTIC PLATES CONTAINING CARBON NANOTUBES,” MODARES MECHANICAL ENGINEERING, vol. 16, no. 11 , pp. 429–438, 2017, [Online]. Available: https://sid.ir/paper/178914/en

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