Static and Dynamic Stability Analysis of Thick CNT Reinforced Beams Resting on Pasternak Foundation Under Axial and Follower Forces
Subject Areas :
Engineering
M Hosseini
1
,
A Ghorbanpour Arani
2
,
M karamizadeh
3
,
Sh Niknejad
4
,
A Hosseinpour
5
1 - Department of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iran
2 - Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran---
Institute of Nanoscience &Nanotechnology, University of Kashan, Kashan, Iran
3 - Department of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iran
4 - Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
5 - Department of Mechanical Engineering and Engineering science, University of North Carolina at Charlotte, United States
Received: 2021-09-01
Accepted : 2021-11-14
Published : 2022-03-30
Keywords:
Carbon Nanotube,
Dynamic stability,
Pasternak foundation,
Follower force,
Abstract :
In this paper, a numerical solution is presented for static and dynamic stability analysis of carbon nanotube (CNT) reinforced beams resting on Pasternak foundation. The beam is considered to be exposed to compressive axial and follower forces at its free end. The beam is modeled based on the Reddy’s third order shear deformation theory and governing equations and external boundary conditions are derived using Hamilton’s principle. The set of governing equations and boundary conditions are solved numerically using differential quadrature method. Convergence and accuracy of results are confirmed and effect of various parameters on the stability region of the beam is investigated including volume fraction and distribution of CNTs, width and thickness of the beam and elastic and shear coefficients of the foundation.
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