Vibration and nonlinear dynamic response of imperfect three-phase polymer nanocomposite panel resting on elastic foundations under hydrodynamic loads

This study follows an analytical approach to investigate the nonlinear dynamic response and vibration of eccentrically stiffened sandwich functionally graded material (FGM) cylindrical panels with metal–ceramic layers on elastic foundations in thermal environments. It is assumed that the FGM cylindrical panel is reinforced by the eccentrically longitudinal and transversal stiffeners and subjected to mechanical and thermal loads. The material properties are assumed to be temperature dependent and graded in the thickness direction according to a simple power law distribution. Based on the Reddy’s third-order shear deformation shell theory, the motion and compatibility equations are derived taking into account geometrical nonlinearity and Pasternak-type elastic foundations. The outstanding feature of this study is that both FGM cylindrical panel and stiffeners are assumed to be deformed in the presence of temperature. Explicit relation of deflection–time curves and frequencies of FGM cylindrical panel are determined by applying stress function, Galerkin method and fourth-order Runge-Kutta method. The influences of material and geometrical parameters, elastic foundations and stiffeners on the nonlinear dynamic and vibration of the sandwich FGM panels are discussed in detail. The obtained results are validated by comparing with other results in the literature.

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Nonlinear dynamic response and vibration of shear deformable imperfect eccentrically stiffened S-FGM circular cylindrical shells surrounded on elastic foundations

Aerospace Science and Technology ◽

10.1016/j.ast.2014.11.005 ◽

2015 ◽

Vol 40 ◽

pp. 115-127 ◽

Cited By ~ 44

Author(s):

Nguyen Dinh Duc ◽

Pham Toan Thang

Keyword(s):

Dynamic Response ◽

Nonlinear Dynamic ◽

Cylindrical Shells ◽

Nonlinear Dynamic Response ◽

Elastic Foundations ◽

Circular Cylindrical Shells ◽

Shear Deformable

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Non-linear dynamic response and vibration of an imperfect three-phase laminated nanocomposite cylindrical panel resting on elastic foundations in thermal environments

Science and Engineering of Composite Materials ◽

10.1515/secm-2015-0467 ◽

2017 ◽

Vol 24 (6) ◽

pp. 951-962 ◽

Cited By ~ 3

Author(s):

Pham Van Thu ◽

Nguyen Dinh Duc

Keyword(s):

Dynamic Response ◽

Polymer Nanocomposite ◽

Cylindrical Panel ◽

Geometrical Properties ◽

Elastic Foundations ◽

Thermal Environments ◽

Linear Dynamic ◽

Geometrical Imperfection ◽

Three Phase ◽

Non Linear

AbstractThis paper presents an analytical approach to investigate the non-linear dynamic response and vibration of an imperfect three-phase laminated nanocomposite cylindrical panel resting on elastic foundations in thermal environments. Based on the classical laminated shell theory and stress function, taking into account geometrical non-linearity, initial geometrical imperfection, Pasternak-type elastic foundation, and temperature, the governing equations of the three-phase laminated nanocomposite cylindrical panel are derived. The numerical results for the dynamic response and vibration of the polymer nanocomposite cylindrical panel are obtained by using the Runge-Kutta method. The influences of fibres and nanoparticles, different fibre angles, material and geometrical properties, imperfection, elastic foundations, and temperature on the non-linear dynamic response of the polymer nanocomposite cylindrical panel are discussed in detail.

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Nonlinear dynamic response and vibration of sandwich composite plates with negative Poisson’s ratio in auxetic honeycombs

Journal of Sandwich Structures & Materials ◽

10.1177/1099636216674729 ◽

2016 ◽

Vol 20 (6) ◽

pp. 692-717 ◽

Cited By ~ 38

Author(s):

Duc Dinh Nguyen ◽

Cong Hong Pham

Keyword(s):

Dynamic Response ◽

Nonlinear Dynamic ◽

Poisson’S Ratio ◽

Poisson's Ratio ◽

Core Material ◽

Sandwich Plates ◽

Negative Poisson’S Ratio ◽

Nonlinear Dynamic Response ◽

Elastic Foundations ◽

Negative Poisson's Ratio

Auxetic cellular solids in the forms of honeycombs under blast load have great potential in a diverse range of applications, including core material in sandwich plates composite components. Based on Reddy’s first-order shear deformation plate theory, this paper presents an analysis of the nonlinear dynamic response and vibration of sandwich plates with negative Poisson’s ratio in auxetic honeycombes on elastic foundations subjected to blast and mechanical loads. A three-layer sandwich plate is considered discretized in the thickness direction by using analytical methods (stress function method, approximate solution), Galerkin method, and fourth-order Runge-Kutta method. The results show the effects of geometrical parameters, material properties, mechanical and elastic foundations on the nonlinear dynamic response, and vibration of sandwich plates.

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