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Steel and Composite Structures
  Volume 36, Number 1, July 10 2020, pages 47-62

Vibration behavior of trapezoidal sandwich plate with functionally graded-porous core and graphene platelet-reinforced layers
Di Liang, Qiong Wu, Xuemei Lu and Vahid Tahouneh

    In this study, free vibration behavior of trapezoidal sandwich plates with porous core and two graphene platelets (GPLs) reinforced nanocomposite outer layers are presented. The distribution of pores and GPLs are supposed to be functionally graded (FG) along the thickness of core and nanocomposite layers, respectively. The effective Young modulus of the GPL-reinforced (GPLR) nanocomposite layers is determined using the modified Halpin-Tsai micromechanics model, while the Poisson ratio and density are computed by the rule of mixtures. The FSDT plate theory is utilized to establish governing partial differential equations and boundary conditions (B.C.s) for trapezoidal plate. The governing equations together with related B.C.s are discretized using a mapping- generalized differential quadrature (GDQ) method in the spatial domain. Then natural frequencies of the trapezoidal sandwich plates are obtained by GDQ method. Validity of current study is evaluated by comparing its numerical results with those available in the literature. A special attention is drawn to the role of GPLs weight fraction, GPLs patterns of two faces through the thickness, porosity coefficient and distribution of porosity on natural frequencies characteristics. New results show the importance of this permeates on vibrational characteristics of porous/GPLR nanocomposite plates. Finally, the influences of B.C.s and dimension as well as the plate geometry such as face to core thickness ratio on the vibration behaviors of the trapezoidal plates are discussed.
Key Words
    trapezoidal sandwich plate; porosity; Generalized Differential Quadrature (GDQ); vibration; graphene platelets weight fraction
Di Liang: College of Mechanical Engineering, Saitama Institute of Technology, Saitama 369-0293, Japan;
Qiong Wu: College of Mechatronic Engineering, Nanjing Forestry University, Nanjing 210037, China;
Xuemei Lu: School of International Education, Nanning Normal University, Nanning 530001, China;
Vahid Tahouneh: Young Researchers and Elite Club, Islamshahr Branch, Islamic Azad University, Islamshahr, Iran

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