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Structural Engineering and Mechanics
  Volume 74, Number 2, April25 2020, pages 297-311

Mechanical analysis of functionally graded spherical panel resting on elastic foundation under external pressure
Yan Cao, Xueming Qian, Qingming Fan and Farbod Ebrahimi

    The main purpose of this study is to analyze the effects of external pressure on the vibration and buckling of functionally graded (FG) spherical panels resting of elastic medium. The material characteristics of the FG sphere continuously vary through the thickness direction based on the power-law rule. In accordance with first-order shear deformation shell theory and by the use of Ritz formulation the governing equations are presented. In this regard, the beam functions are applied in two-dimensions for different sets of boundary supports. The Winkler and Pasternak models of elastic foundations are also taken into account. In order to show the validity and applicability of the presented formulation, various comparison studies are given. Furthermore, a diverse range of numerical results is reported to check the impacts of geometrical and material parameters along with external pressure on the vibration and buckling analysis of FG spherical panels.
Key Words
    functionally graded materials; spherical panel; vibration; buckling; beam functions
Yan Cao, Xueming Qian, Qingming Fan: School of Mechatronic Engineering and Shaanxi Key Laboratory of Non-Traditional Machining,
Xian Technological University, Xian 710021 China
Farbod Ebrahimi: Young Researchers and Elite Club, Tehran Branch, Islamic Azad University, Tehran, Iran

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