Three dimensional elasticity solution for static and dynamic analysis of multi-directional functionally graded thick sector plates with general boundary conditions

Effect of in-plane loads on the natural frequencies of transversely isotropic thick annular sector plates resting on elastic foundation

“…Now by substituting the equation (7) into equation (5a), the governing equations for annular sector plate with transversely isotropic properties are obtained as follows…”

“…1 The subject of free vibration analysis of annular sector plates has been studied in different literature. For investigating this subject, various theories (e.g., classical plate theory, 2,3 Mindlin or First-order shear deformation theory, 4,5 third-order shear deformation theory, 6 or 3D elasticity relations 7,8 have been used. Also, there are different methods to solve this subject: numerical, [9][10][11][12] semi-analytical, 13,14 and analytical solution.…”

A powerful numerical approach for the axisymmetric bending response of shear deformable two-directional functionally graded (2D-FG) plates with variable thickness

“…The mechanical properties of this heterogeneous material are assumed to vary in the radial direction and thickness of the plate. The material volume fractions given in Zafarmand and Kadkhodayan 21 are improved and given as follows…”

“…Based on 3D elasticity theory and semianalytical approach the bending response of 2D-FG circular plates was studied by Rad. 20 Zafarmand and Kadkhodayan 21 examined the static and dynamic behavior of 2D-FG thick sector plates based on Hamilton's principle with the aid of the Rayleigh-Ritz method. Nosier and Fallah 22 reformulated the Mindlin-Reissner governing equations of thick FG circular plates.…”

بررسی ارتعاشات آزاد صفحات قطاعی حلقوی ساخته شده از مواد تابعی مدرج با استفاده از روش کانترویچ توسعه یافته

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