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Steel and Composite Structures
  Volume 38, Number 5, March10 2021 , pages 477-496
DOI: https://doi.org/10.12989/scs.2021.38.5.477
 


Vibration analysis of damaged core laminated curved panels with functionally graded sheets and finite length
Li-Cai Zhao, Shi-Shuenn Chen, Yi-Peng Xu and Vahid Tahouneh

 
Abstract
    The main objective of this paper is to study vibration of sandwich open cylindrical panel with damaged core and FG face sheets based on three-dimensional theory of elasticity. 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. Three complicated equations of motion for the panel under consideration are semi-analytically solved by using 2-D differential quadrature method. Several parametric analyses are carried out to investigate the mechanical behavior of these multi-layered structures depending on the damage features, through-the-thickness distribution and boundary conditions. It is seen that for the large amount of power-law index "P", increasing this parameter does not have significant effect on the non-dimensional natural frequency parameters of the FG sandwich curved panel. Results indicate that by increasing the value of isotropic damage parameter "D" up to the unity (fully damaged core) the frequency would tend to become zero. One can dictate the fiber variation profile through the radial direction of the sandwich panel via the amount of "P", "b" and "c" parameters. It should be noticed that with increase of volume fraction of fibers, the frequency parameter of the panels does not increase necessarily, so by considering suitable amounts of power-law index "P" and the parameters "b" and "c", one can get dynamic characteristics similar or better than the isotropic limit case for laminated FG curved panels.
 
Key Words
    2-D differential quadrature method; damaged isotropic core; laminated curved panels; three-dimensional theory of elasticity; Halpin-Tsai equation; Eshelby-Mori-Tanaka scheme
 
Address
Li-Cai Zhao: Department of Civil and Construction Engineering, National Taiwan University of Science and Technology, No.43,
Sec.4, Keelung Road, Taipei 106, Taiwan;
China Railway 19th Bureau Co., Ltd, Beijing, 100176, China
Shi-Shuenn Chen: Department of Civil and Construction Engineering, National Taiwan University of Science and Technology, No.43,
Sec.4, Keelung Road, Taipei 106, Taiwan
Yi-Peng Xu: China Railway 19th Bureau Co., Ltd, Beijing, 100176, China;
School of Mathematics and Science, Tiangong University, Tianjin, 300387, China
Vahid Tahouneh: Young Researchers and Elite Club, Islamshahr Branch, Islamic Azad University, Islamshahr, Iran
 

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