Nonlinear thermal vibration and postbuckling of shear deformable porous FGM circular plates with geometric imperfection and elastic edge restraint.
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| Title: | Nonlinear thermal vibration and postbuckling of shear deformable porous FGM circular plates with geometric imperfection and elastic edge restraint. |
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| Authors: | Thinh, Nguyen Van1,2 (AUTHOR), Tung, Hoang Van3 (AUTHOR) hoangtung0105@gmail.com |
| Source: | Mechanics Based Design of Structures & Machines. 2025, Vol. 53 Issue 10, p6765-6788. 24p. |
| Subjects: | Functionally gradient materials, Structural plates, Nonlinear mechanics, Mechanical buckling, Deformations (Mechanics) |
| Abstract: | Motivated by the evident lack of studies on the nonlinear thermal stability and vibration of functionally graded material (FGM) circular plates (CPs) including porosity and elastically restrained edge, this article investigates the combined influences of porosities, geometrical imperfection and tangential elastic constraint of boundary edge on the nonlinear axisymmetric free vibration and postbuckling behavior of porous FGM CPs subjected to uniform temperature rise. The pores are distributed into the FGM via even and uneven distribution types. Temperature dependence of material properties is included and effective properties of porous FGM are evaluated adopting a modified mixture rule. The CP is assumed to be under axisymmetric deformation and clamped at periphery. Motion and compatibility equations in terms of deflection and stress function are derived on the basis of the first-order shear deformation theory (FSDT) taking into account nonlinear strains in von Kármán sense and initial geometric imperfection. The derived equations are solved by using analytical solutions and Galerkin method. In the thermal postbuckling analysis, an iteration algorithm is employed to evaluate critical temperatures and postbuckling temperature–deflection curves. In the nonlinear free vibration analysis, fourth–order Runge–Kutta scheme is adopted to seek the frequencies of nonlinear free vibration. After verification, parametric studies are presented to assess numerous influences on the thermoelastic nonlinear vibration and postbuckling of porous FGM CPs. It is found that rigorous constraint of edge renders the thermal buckling resistance capacity weaker and the frequency nonlinearity stronger. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | Motivated by the evident lack of studies on the nonlinear thermal stability and vibration of functionally graded material (FGM) circular plates (CPs) including porosity and elastically restrained edge, this article investigates the combined influences of porosities, geometrical imperfection and tangential elastic constraint of boundary edge on the nonlinear axisymmetric free vibration and postbuckling behavior of porous FGM CPs subjected to uniform temperature rise. The pores are distributed into the FGM via even and uneven distribution types. Temperature dependence of material properties is included and effective properties of porous FGM are evaluated adopting a modified mixture rule. The CP is assumed to be under axisymmetric deformation and clamped at periphery. Motion and compatibility equations in terms of deflection and stress function are derived on the basis of the first-order shear deformation theory (FSDT) taking into account nonlinear strains in von Kármán sense and initial geometric imperfection. The derived equations are solved by using analytical solutions and Galerkin method. In the thermal postbuckling analysis, an iteration algorithm is employed to evaluate critical temperatures and postbuckling temperature–deflection curves. In the nonlinear free vibration analysis, fourth–order Runge–Kutta scheme is adopted to seek the frequencies of nonlinear free vibration. After verification, parametric studies are presented to assess numerous influences on the thermoelastic nonlinear vibration and postbuckling of porous FGM CPs. It is found that rigorous constraint of edge renders the thermal buckling resistance capacity weaker and the frequency nonlinearity stronger. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 15397734 |
| DOI: | 10.1080/15397734.2025.2489068 |
