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Nonlinear forced vibration analysis of PFG-GPLRC conical shells under parametric excitation considering internal and external resonances
Highlights Investigation of PFG-GPLRC conical shell vibration dynamics under parametric loading. Exploration of diverse metal foam porosity distributions and graphene platelet dispersion patterns under simply supported boundary conditions. Solving the 2DOF PDEs via perturbation theory and the multiple scales method. Identification of system instability through observation of bifurcation points such as supercritical pitchfork, subcritical pitchfork, and saddle nodes in amplitude-frequency and amplitude-force response curves. Amplified amplitude responses can arise from reducing graphene platelet weight fraction, altering platelet dimensions, and raising the porosity parameter.
Abstract Comprehending the vibration dynamics of porous functionally graded-graphene platelet reinforced composite (PFG-GPLRC) structures is vital for accurate predictions and reliability in practical applications. This study addresses gaps in nonlinear dynamics, instability, and frequency response research within truncated PFG-GPLRC conical shells under parametric loading and ½ subharmonic and 1:1 internal resonance. To achieve this, three porosity distributions in metal foam (uniform, non-uniform symmetric, and non-uniform asymmetric) are considered, along with various graphene platelet dispersion patterns (GPL-O, GPL-V, GPL-U, GPL-A, and GPL-X) within the matrix. These considerations lead to a comprehensive conical shell model. Utilizing the first-order shear deformation theory and von-Karman's assumptions, stress-strain relations are extracted, yielding nonlinear motion equations for the truncated conical shell. Employing Galerkin's method and considering simply supported boundaries, two-degree-of-freedom equations of motion are derived. The research culminates in steady state frequency responses obtained through perturbation theory and the multiple scales method, encompassing ½-subharmonic excitation resonance and 1:1 internal resonance. Bifurcation points are analysed to highlight the influence of parametric excitation and system instabilities. A parametric study underscores the significance of porosity and graphene platelets within the metal foam in relation to system instability, revealing their intricate impact on PFG-GPLRC structure behavior.
Nonlinear forced vibration analysis of PFG-GPLRC conical shells under parametric excitation considering internal and external resonances
Highlights Investigation of PFG-GPLRC conical shell vibration dynamics under parametric loading. Exploration of diverse metal foam porosity distributions and graphene platelet dispersion patterns under simply supported boundary conditions. Solving the 2DOF PDEs via perturbation theory and the multiple scales method. Identification of system instability through observation of bifurcation points such as supercritical pitchfork, subcritical pitchfork, and saddle nodes in amplitude-frequency and amplitude-force response curves. Amplified amplitude responses can arise from reducing graphene platelet weight fraction, altering platelet dimensions, and raising the porosity parameter.
Abstract Comprehending the vibration dynamics of porous functionally graded-graphene platelet reinforced composite (PFG-GPLRC) structures is vital for accurate predictions and reliability in practical applications. This study addresses gaps in nonlinear dynamics, instability, and frequency response research within truncated PFG-GPLRC conical shells under parametric loading and ½ subharmonic and 1:1 internal resonance. To achieve this, three porosity distributions in metal foam (uniform, non-uniform symmetric, and non-uniform asymmetric) are considered, along with various graphene platelet dispersion patterns (GPL-O, GPL-V, GPL-U, GPL-A, and GPL-X) within the matrix. These considerations lead to a comprehensive conical shell model. Utilizing the first-order shear deformation theory and von-Karman's assumptions, stress-strain relations are extracted, yielding nonlinear motion equations for the truncated conical shell. Employing Galerkin's method and considering simply supported boundaries, two-degree-of-freedom equations of motion are derived. The research culminates in steady state frequency responses obtained through perturbation theory and the multiple scales method, encompassing ½-subharmonic excitation resonance and 1:1 internal resonance. Bifurcation points are analysed to highlight the influence of parametric excitation and system instabilities. A parametric study underscores the significance of porosity and graphene platelets within the metal foam in relation to system instability, revealing their intricate impact on PFG-GPLRC structure behavior.
Nonlinear forced vibration analysis of PFG-GPLRC conical shells under parametric excitation considering internal and external resonances
Saboori, Reza (author) / Ghadiri, Majid (author)
Thin-Walled Structures ; 196
2023-12-08
Article (Journal)
Electronic Resource
English
| British Library Online Contents | 2019