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Structural Engineering and Mechanics
  Volume 86, Number 2, April25 2023 , pages 157-165
DOI: https://doi.org/10.12989/sem.2023.86.2.157
 


Vibration analysis of graphene platelet reinforced stadium architectural roof shells subjected to large deflection
Abeer Qasim Jbur, Wael Najm Abdullah, Nadhim M. Faleh and Zahraa N. Faleh

 
Abstract
    In the present work, the vibration characteristics of sandwich nanocomposite shells, fortified with graphene platelets (GPLs) have been researched. The shell has been considered as the stadium roof shape with double curvatures under vibration due to earthquake. The nanocomposite has the matrix of concrete which is fortified with uniform or linear dispersions of GPLs. Also, the core possesses cellular type square architecture for which the effective elastic modulus has been defined in the context of relative density based relations. Based upon the classic shell strains containing two identical curvatures, the governing equations have been established and solved through differential quadrature approach. It will be seen that the vibrational frequencies rely on the core relative density, height of layers, the amount and dispersions of GPLs and even shell geometric parameters.
 
Key Words
    architecture; composites; design; dynamics; graphene platelet; nanocomposite; stadium
 
Address
Abeer Qasim Jbur: Department of Architectural Engineering, Al-Mustansiriyah University, Baghdad 10001, Iraq
Wael Najm Abdullah: Department of Architectural Engineering, Al-Mustansiriyah University, Baghdad 10001, Iraq
Nadhim M. Faleh: Engineering Collage, Al-Mustansiryah University, P.O. Box 46049, Bab-Muadum, Baghdad 10001, Iraq
Zahraa N. Faleh: Department of Architectural Engineering, University of Baghdad, Iraq
 

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