A semi-analytical sinusoidal shear deformation theory for nonlinear dynamic response and vibration of CNT–FGM doubly curved shallow shells

Nguyen, Pham Dinh; Duc, Nguyen Dinh

doi:10.1007/s00707-023-03824-8

Acta Mech

2024

DOI: 10.1007/s00707-023-03824-8

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A semi-analytical sinusoidal shear deformation theory for nonlinear dynamic response and vibration of CNT–FGM doubly curved shallow shells

Pham Dinh Nguyen,

Nguyen Dinh Duc

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2024

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Cited by 3 publications

References 70 publications

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Nonlinear poro-thermo-forced vibration in curved sandwich magneto-electro-elastic shells under hygrothermal environment

Selvamani,

Ebrahimi,

Yaylacı

et al. 2024

Acta Mech

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This research employs a multiple scales perturbation approach to evaluate the nonlinear wave propagation behaviors of a doubly curved sandwich composite piezoelectric shell with a flexible core in a hygrothermal environment. Stress and strain calculations for the flexible core and face sheets are carried out using Reddy's third-order shear deformation theory (TSDT) and third-order polynomial theory, respectively. The study explores the synergistic effects of a multilayered shell, flexible core, and magneto-rheological layer (MR) in revealing the nonlinearity of both in-plane and vertical moment within the core. The Halpin–Tsai model is employed to derive the properties of polymer/carbon nanotube/fiber (PCF) and polymer/graphene platelet/fiber (PGF) three-phase composite shells. The governing equations for the multiscale shell are derived using Hamilton's formulation. The research investigates temperature variations, diverse distribution patterns, curvature ratios, and magnetic fields through numerical analysis, presenting the results graphically and prior research has demonstrated the accuracy of these methods. Notably, these factors exert significant influence on the frequency-amplitude curves of the smart structure.

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Nonlinear poro-thermo-forced vibration in curved sandwich magneto-electro-elastic shells under hygrothermal environment

Selvamani,

Ebrahimi,

Yaylacı

et al. 2024

Acta Mech

View full text Add to dashboard Cite

show abstract

Control and vibration analyses of a sandwich doubly curved micro-composite shell with honeycomb, truss, and corrugated cores based on the fourth-order shear deformation theory

Shirdelan,

Mohammadimehr,

Bargozini

2024

Appl. Math. Mech.-Engl. Ed.

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Analysis of free vibration characteristics of porous FGM skew plate using meshfree approach

Srivastav,

Rajak,

Tiwari

et al. 2024

Multiscale and Multidiscip. Model. Exp. and Des.

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A semi-analytical sinusoidal shear deformation theory for nonlinear dynamic response and vibration of CNT–FGM doubly curved shallow shells

Cited by 3 publications

References 70 publications

Nonlinear poro-thermo-forced vibration in curved sandwich magneto-electro-elastic shells under hygrothermal environment

Nonlinear poro-thermo-forced vibration in curved sandwich magneto-electro-elastic shells under hygrothermal environment

Control and vibration analyses of a sandwich doubly curved micro-composite shell with honeycomb, truss, and corrugated cores based on the fourth-order shear deformation theory

Analysis of free vibration characteristics of porous FGM skew plate using meshfree approach

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