A semi-analytical study for vibration analysis of damaged core laminated cylindrical shell with functionally graded CNTs reinforced face sheets resting on a two-parameter elastic foundation
Aseel J. Mohammed,Bassam A. Mohammed,Hatam K. Kadhom,Anmar Ghanim Taki,Vahid Tahouneh
Abstract
The main objective of this paper is to study vibration of sandwich cylindrical shell with damaged core and FG face sheets resting on a two-parameter elastic foundation based on three-dimensional theory of elasticity. Three complicated equations of motion for the structure under consideration are semi-analytically solved by using generalized differential quadrature method. The structures are made of a damaged isotropic core and two external face sheets. These skins are strengthened at the nanoscale level by randomly oriented Carbon nanotubes (CNTs) and are reinforced at the microscale stage by oriented straight fibers. These reinforcing phases are included in a polymer matrix and a three-phase approach based on the Eshelby-Mori-Tanaka scheme and on the Halpin-Tsai approach, which is developed to compute the overall mechanical properties of the composite material. Several parametric analyses are carried out to investigate the mechanical behavior of these multi-layered structures depending on the damage features. A detailed parametric study is carried out in order to reveal the effects of different profiles of two-parameter elastic foundation modulus, different geometrical parameters such as the mid radius-to-thickness ratio, length-to-mean radius ratio and the thickness of face sheets on the vibrational characteristics of the damaged functionally graded sandwich cylindrical shell.
Key Words
damaged isotropic core; Eshelby-Mori-Tanaka scheme; generalized differential quadrature method; Halpin-Tsai equation; laminated cylindrical shell; three-dimensional theory of elasticity; two-parameter elastic foundation
Address
Aseel J. Mohammed — Department of Electromechanical Engineering, University of Technology-Iraq, Baghdad, Iraq
Bassam A. Mohammed — Thermal Mechanic Techniques Engineering Department, Basra Engineering Technical College, Southern Technical University, Basra, Iraq
Hatam K. Kadhom — Department of Electromechanical Engineering, University of Technology-Iraq, Baghdad, Iraq
Anmar Ghanim Taki — Department of Radiology Techniques, Health and Medical Techniques College, Alnoor University, Mosul, Iraq
Vahid Tahouneh — Young Researchers and Elite Club, Islamshahr Branch, Islamic Azad University, Islamshahr, Iran
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