Static and Dynamic Stability Analysis of Thick CNT Reinforced Beams Resting on Pasternak Foundation Under Axial and Follower Forces

Journal of Solid Mechanics

مقاله 1، دوره 14، شماره 1، خرداد 2022، صفحه 1-16   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.22034/jsm.2019.585582.1401

نویسندگان

M Hosseini¹؛ A Ghorbanpour Arani^{* 2}؛ M karamizadeh¹؛ Sh Niknejad³؛ A Hosseinpour⁴

¹Department of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iran

²Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran--- Institute of Nanoscience &Nanotechnology, University of Kashan, Kashan, Iran

³Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran

⁴Department of Mechanical Engineering and Engineering science, University of North Carolina at Charlotte, United States

چکیده

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.

کلیدواژه‌ها

Dynamic stability؛ Follower force؛ Carbon nanotube؛ Pasternak foundation

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