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Steel and Composite Structures
  Volume 35, Number 1, April10 2020, pages 111-127

Influence of porosity distribution on vibration analysis of GPLs-reinforcement sectorial plate
Anqiang Jia, Haiyan Liu, Lijian Ren, Yingxia Yun and Vahid Tahouneh

    The goal of this study is to fill this apparent gap in the area about investigating the effect of porosity distributions on vibrational behavior of FG sectorial plates resting on a two-parameter elastic foundation. The response of the elastic medium is formulated by the Winkler/Pasternak model. The internal pores and graphene platelets (GPLs) are distributed in the matrix either uniformly or non-uniformly according to three different patterns. The model is proposed with material parameters varying in the thickness of plate to achieve graded distributions in both porosity and nanofillers. The elastic modulus of the nanocomposite is obtained by using Halpin-Tsai micromechanics model. The annular sector plate is assumed to be simply supported in the radial edges while any arbitrary boundary conditions are applied to the other two circular edges including simply supported, clamped and free. The 2-D differential quadrature method as an efficient and accurate numerical approach is used to discretize the governing equations and to implement the boundary conditions. The convergence of the method is demonstrated and to validate the results, comparisons are made between the present results and those reported by well-known references for special cases treated before, have confirmed accuracy and efficiency of the present approach. It is observed that the maximum vibration frequency obtained in the case of symmetric porosity and GPL distribution, while the minimum vibration frequency is obtained using uniform porosity distribution. Results show that for better understanding of mechanical behavior of nanocomposite plates, it is crucial to consider porosities inside the material structure.
Key Words
    sectorial plates; vibration; pores and graphene platelets; Halpin-Tsai micromechanics model; elastic foundation
Anqiang Jia: School of Architecture, Tianjin University, Tianjin 300072, China;
Institute of Urban and Rural Construction, Hebei Agricultural University, Baoding, Hebei 071001, China
Haiyan Liu: College of Sciences, Hebei Agricultural University, Baoding, Hebei 071001, China
Lijian Ren and Yingxia Yun: School of Architecture, Tianjin University, Tianjin 300072, China
Vahid Tahouneh: Young Researchers and Elite Club, Islamshahr Branch, Islamic Azad University, Islamshahr, Iran

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