Paper Information

Journal:   MODARES MECHANICAL ENGINEERING   FEBRUARY 2017 , Volume 16 , Number 11 #F0072; Page(s) 429 To 438.
 
Paper: 

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

 
 
Author(s):  KORANIAN SEYED EISA, ESMAEILZADEH KHADEM SIAMAK*, KOKABI MEHRDAD
 
* DEPARTMENT OF MECHANICAL ENGINEERING, TARBIAT MODARES UNIVERSITY, TEHRAN, IRAN
 
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.

 
Keyword(s): MULTIPLE SCALES METHOD, NONLINEAR VIBRATION, NANOCOMPOSITE, VISCOELASTIC MATERIALS
 
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