Dynamic stability of cylindrical nanoshells under combined static and periodic axial loads View Full Text


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Article Info

DATE

2019-04

AUTHORS

Yasin Heydarpour, Parviz Malekzadeh

ABSTRACT

The dynamic stability of cylindrical nanoshells subjected to combined static and time-dependent periodic axial forces is studied by employing the two-dimensional nonlocal elasticity theory together with the first-order shear deformation theory of shells. The differential quadrature method as an efficient and accurate numerical technique is applied to discretize the equations of motion under different boundary conditions in the spatial domain and transform them into a system of coupled Mathieu–Hill-type equations in time domain. Subsequently, the Bolotin’s first approximation method is employed to extract the dynamic instability regions of the cylindrical nanoshells. The approach is validated by showing its fast convergence rate and carrying out comparison studies with existing results in the limit cases. Afterward, the effects of the nonlocal parameter, length and thickness-to-mean radius ratios together with different boundary conditions on the principal dynamic instability regions of the cylindrical nanoshells are studied in detail. More... »

PAGES

184

References to SciGraph publications

  • 2018-03. Modified porosity model in analysis of functionally graded porous nanobeams in JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
  • 2017-04. A differential quadrature procedure for free vibration of circular membranes backed by a cylindrical fluid-filled cavity in JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
  • 2017-03. Nonlocal modeling for dynamic stability of spinning nanotube under axial load in MECCANICA
  • 2009-06. Nonlinear dynamic instability of double-walled carbon nanotubes under periodic excitation in ACTA MECHANICA SOLIDA SINICA
  • 2018-02. Thermo-electro-radial coupling nonlinear instability of piezoelectric shear deformable nanoshells via nonlocal elasticity theory in MICROSYSTEM TECHNOLOGIES
  • 2017-09. A coupled integral–differential quadrature and B-spline-based multi-step technique for transient analysis of VSCL plates in ACTA MECHANICA
  • 2018-01. Nonlinear instability of hydrostatic pressurized microtubules surrounded by cytoplasm of a living cell including nonlocality and strain gradient microsize dependency in ACTA MECHANICA
  • 2015-12. Dynamic Stability Analysis of Embedded Multi-Walled Carbon Nanotubes in Thermal Environment in ACTA MECHANICA SOLIDA SINICA
  • 2012-06. Nonlocal effect on the free vibration of short nanotubes embedded in an elastic medium in ACTA MECHANICA
  • 2011-09. Study of dynamic stability of the double-walled carbon nanotube under axial loading embedded in an elastic medium by the energy method in JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS
  • 2017-03. Buckling analysis of nonlocal third-order shear deformable functionally graded piezoelectric nanobeams embedded in elastic medium in JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
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    http://scigraph.springernature.com/pub.10.1007/s40430-019-1675-1

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    52 schema:description The dynamic stability of cylindrical nanoshells subjected to combined static and time-dependent periodic axial forces is studied by employing the two-dimensional nonlocal elasticity theory together with the first-order shear deformation theory of shells. The differential quadrature method as an efficient and accurate numerical technique is applied to discretize the equations of motion under different boundary conditions in the spatial domain and transform them into a system of coupled Mathieu–Hill-type equations in time domain. Subsequently, the Bolotin’s first approximation method is employed to extract the dynamic instability regions of the cylindrical nanoshells. The approach is validated by showing its fast convergence rate and carrying out comparison studies with existing results in the limit cases. Afterward, the effects of the nonlocal parameter, length and thickness-to-mean radius ratios together with different boundary conditions on the principal dynamic instability regions of the cylindrical nanoshells are studied in detail.
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