A size-dependent exact theory for thermal buckling, free and forced vibration analysis of temperature dependent FG multilayer GPLRC composite nanostructures restring on elastic foundation

被引:0
作者
Hamed Safarpour
Zanyar Esmailpoor Hajilak
Mostafa Habibi
机构
[1] Imam Khomeini International University,Department of Mechanics, Faculty of Engineering
[2] KN Toosi University of Technology,Department of Mechanical Engineering
[3] Sharif University of Technology,Center of Excellence in Design, Robotics and Automation, School of Mechanical Engineering
来源
International Journal of Mechanics and Materials in Design | 2019年 / 15卷
关键词
Elastic foundation; Forced vibration; Graphene nanoplatelet; Thermal buckling; Analytical method; Multilayer cylindrical nanoshell; Modified couple stress parameter;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, thermal buckling and free/forced vibration characteristics of size-dependent composite cylindrical nanoshell reinforced with graphene platelets (GPLs) is presented. Also, the nanoshell is embedded in an elastic pasternak medium, which is obtained by adding a shear layer to the Winkler model. The present nano-resonator is based on a vibrating first order nanoscale cylindrical shell subjected to transverse pressure. The temperature-dependent material properties of piece-wise functionally graded graphene-reinforced composites (FG-GRCs) are assumed to be graded in the thickness direction of a cylindrical nanoshell and are estimated through a nanomechanical model. Also, Halpin–Tsai nanomechanical model in used to surmise the effective material properties of each layer. The size-dependent FG-GRCs nanoshell is analyzed using modified couple stress parameter. The novelty of the current study is in considering the effects of FG-GRCs and thermal in addition of size effect on resonance frequencies, thermal buckling and dynamic deflections of the FG-GRCs nanoshell. The governing equations and boundary conditions have been developed using Hamilton’s principle and have been solved with the aid of analytical method. The results show that, GPL distribution pattern, modified couple stress parameter, length to radius ratio, mode number, winkler coefficient and thermal environment have important role on resonance frequency, relative frequency change, thermal buckling and dynamic deflections of the FG-GRCs cylindrical nanoshell in thermal environments.
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页码:569 / 583
页数:14
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  • [1] Ansari R(2012)Vibration analysis of single-walled carbon nanotubes using different gradient elasticity theories Compos. B Eng. 43 2985-2989
  • [2] Gholami R(2011)Investigation of the size effects in Timoshenko beams based on the couple stress theory Arch. Appl. Mech. 81 863-874
  • [3] Rouhi H(2017)Forced transverse vibrations of an elastically connected nonlocal orthotropic double-nanoplate system subjected to an in-plane magnetic field Acta Mech. 228 2165-2185
  • [4] Asghari M(2006)Nanocomposites based on conducting polymers and carbon nanotubes: from fancy materials to functional applications J. Nanosci. Nanotechnol. 6 289-302
  • [5] Kahrobaiyan M(2018)A general nonlocal stress-strain gradient theory for forced vibration analysis of heterogeneous porous nanoplates Eur. J. Mech. A/Solids 67 215-230
  • [6] Rahaeifard M(2017)Critical speed and free vibration analysis of spinning 3D single-walled carbon nanotubes resting on elastic foundations Eur. Phys. J. Plus 132 6-8
  • [7] Ahmadian M(2013)A nonlocal model for carbon nanotubes under axial loads Adv. Mater. Sci. Eng. 2013 1-13
  • [8] Atanasov MS(2017)Application of gradient elasticity to armchair carbon nanotubes: size effects and constitutive parameters assessment Eur. J. Mech. A/Solids 65 1-792
  • [9] Karličić D(2002)Carbon nanotubes—the route toward applications Science 297 787-296
  • [10] Kozić P(2016)On functionally graded Timoshenko nonisothermal nanobeams Compos. Struct. 135 286-95