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        A nonlocal nonlinear analysis for buckling in embedded FG-SWCNT-reinforced microplates subjected to magnetic field

        Reza Kolahchi,Mahmood Rabani Bidgoli,Gholamhossein Beygipoor,Mohammad Hosein Fakhar 대한기계학회 2015 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.29 No.9

        In this study, nonlocal nonlinear buckling analysis of embedded polymeric temperature-dependent microplates resting on an elasticmatrix as orthotropic temperature-dependent elastomeric medium is investigated. The microplate is reinforced by single-walled carbonnanotubes (SWCNTs) in which the equivalent material properties of nanocomposite are estimated based on the rule of mixture. Due tomagnetic properties of SWCNTs, the structure is subjected to magnetic field. For the carbon-nanotube reinforced composite (CNTRC)plate, both cases of uniform distribution (UD) and functionally graded (FG) distribution patterns of SWCNT reinforcements are considered. The small size effects of microplate are considered based on Eringen’s nonlocal theory. Based on orthotropic Mindlin plate theoryalong with von Kármán geometric nonlinearity and Hamilton's principle, the governing equations are derived. Generalized differentialquadrature method (GDQM) is applied for obtaining the buckling load of system. The effects of different parameters such as magneticfield, nonlocal parameters, volume fractions of SWCNTs, distribution type of SWCNTs in polymer, elastomeric medium, aspect ratioand temperature are considered on the nonlinear buckling of the microplate. Results indicate that the buckling load increases with increasingmagnetic field.

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        Nonlinear vibration analysis of a nonlocal sinusoidal shear deformation carbon nanotube using differential quadrature method

        Hasan Rahimi Pour,Hossein Vossough,Mohammad Mehdi Heydari,Gholamhossein Beygipoor,Ali Azimzadeh 국제구조공학회 2015 Structural Engineering and Mechanics, An Int'l Jou Vol.54 No.6

        This paper presents a nonlocal sinusoidal shear deformation beam theory (SDBT) for the nonlinear vibration of single walled carbon nanotubes (CNTs). The present model is capable of capturing both small scale effect and transverse shear deformation effects of CNTs, and does not require shear correction factors. The surrounding elastic medium is simulated based on Pasternak foundation. Based on the nonlocal differential constitutive relations of Eringen, the equations of motion of the CNTs are derived using Hamilton’s principle. Differential quadrature method (DQM) for the natural frequency is presented for different boundary conditions, and the obtained results are compared with those predicted by the nonlocal Timoshenko beam theory (TBT). The effects of nonlocal parameter, boundary condition, aspect ratio on the frequency of CNTs are considered. The compar¬ison firmly establishes that the present beam theory can accurately predict the vibration responses of CNTs.

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