Nonlinear primary resonance of axially moving functionally graded cylindrical shells in thermal environment

Zhang, Yiwen; She, Gui-Lin

doi:10.1080/15376494.2023.2180556

Cited by 10 publications

(1 citation statement)

References 51 publications

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“…According to the Donnell nonlinear shell theory, the displacement field ( U , V , W ) on the TDFGP cylindrical shell is defined as 28 …”

Section: Mathematical Modelingmentioning

confidence: 99%

Nonlinear vibrations analysis of two-directional functionally graded porous cylindrical shells resting on elastic substrates in a thermal environment based on Donnell nonlinear shell theory

Rahmani,

Hosseinnejad,

Rostamiyan

2024

Proceedings of the Institution of Mechanical Engineers, Part G:

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The primary objective of this study is to investigate the nonlinear free vibrational characteristics of temperature-dependent two-directional functionally graded porous (TDFGP) cylindrical shells resting on elastic substrates in a thermal environment. To accomplish this, the thermomechanical equations are derived based on the Donnell nonlinear shell theory framework in conjunction with the von Kármán assumption. Two-directional functionally graded porous cylindrical shell models have mechanical properties that can change smoothly and continuously across the length and thickness of the shell. Additionally, it is assumed that the internal porosities in the matrix materials can be dispersed into two independent patterns, either even or uneven porosity distribution. The nonlinearity in free vibration assessed via the nonlinear-to-linear frequency ratio concerning the central deflection amplitude can be gained employing the Galerkin discretization approach and modified Poincare–Lindstedt (P-L) method. The accuracy and effectiveness of the present analytical model are indicated through comparison with existing solutions. Finally, some comprehensive parametric investigations are carried out to gain insight into the impacts of several factors on the nonlinear free vibration characteristics of structures under different conditions. The results of this article demonstrate that parameters such as gradient indices, volume fraction, distribution pattern of porosity, geometric parameters, and ambient temperature rise significantly influence the structure’s nonlinear frequency and free vibration response.

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“…According to the Donnell nonlinear shell theory, the displacement field ( U , V , W ) on the TDFGP cylindrical shell is defined as 28 …”

Section: Mathematical Modelingmentioning

confidence: 99%

Nonlinear vibrations analysis of two-directional functionally graded porous cylindrical shells resting on elastic substrates in a thermal environment based on Donnell nonlinear shell theory

Rahmani,

Hosseinnejad,

Rostamiyan

2024

Proceedings of the Institution of Mechanical Engineers, Part G:

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show abstract

Neutral surface effect on nonlinear response of BDFG porous higher order plate rested on elastic foundations

Assie,

Mohamed,

Abo-bakr

et al. 2024

Acta Mech

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Nonlinear primary resonance behavior of graphene platelet-reinforced metal foams conical shells under axial motion

Ding

She

2023

Nonlinear Dyn

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Nonlinear primary resonance of axially moving functionally graded cylindrical shells in thermal environment

Cited by 10 publications

References 51 publications

Nonlinear vibrations analysis of two-directional functionally graded porous cylindrical shells resting on elastic substrates in a thermal environment based on Donnell nonlinear shell theory

Nonlinear vibrations analysis of two-directional functionally graded porous cylindrical shells resting on elastic substrates in a thermal environment based on Donnell nonlinear shell theory

Neutral surface effect on nonlinear response of BDFG porous higher order plate rested on elastic foundations

Nonlinear primary resonance behavior of graphene platelet-reinforced metal foams conical shells under axial motion

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