Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method

作者: Ömer Civalek

DOI: 10.1016/J.COMPOSITESB.2016.11.030

关键词: Composite materialPower lawVibrationMaterial propertiesConical surfaceCarbon nanotubeMaterials scienceComposite numberEquations of motionFunctionally graded material

摘要: Abstract In this study, free vibration analysis of conical and cylindrical shells annular plates made composite laminated functionally graded materials (FGMs) is investigated. Carbon nanotubes reinforced (CNTR) case also taken consideration for FGM. The equations motion shell are obtained via Hamilton's principle using the transverse shear deformation theory. To obtain eigenvalue problem system, method discrete singular convolution employed. Material properties in thickness direction according to a volume fraction power law four-parameter indexes FGM cases. Five types distributions CNTR material considered. verify accuracy method, comparisons present results with available open literature. Free vibrations treated as special Results presented carbon plates. It found that convergence DSC very good (FMG) materials.

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