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Nonlinear vibration analysis of CFRR sandwich doubly-curved shallow shells with a porous microcapsule coating in hygrothermal environment
https://orcid.org/0000-0001-9997-9500
Abstract In this paper, the nonlinear vibration characteristics and response of laminated carbon fiber reinforced resin (CFRR) doubly-curved shallow shell with a porous microcapsule coating under hygrothermal environment is investigated. Based on the first-order shear deformation theory, the nonlinear equations of motion are obtained by using Hamilton’s principle, which are solved by utilizing the direct integration method and Runge–Kutta method. The effect of temperature and moisture, geometric parameters of microcapsules, geometric parameters of the shell, laying angle for carbon fiber and porosity of coating matrix are considered. Through numerical examples, it is found that temperature, moisture, length of edges, laying angle for carbon fiber and porosity of coating matrix have a positive effect on the dimensionless nonlinear frequency ratio, but negative effect on the dimensionless linear and nonlinear natural frequency of the shell. In addition, temperature, moisture, length of edges, laying angle for carbon fiber and porosity of coating matrix are proportional to the dimensionless nonlinear amplitude of the shell.
Graphical abstract Display Omitted
Highlights CFRR sandwich doubly-curved shallow shells with porous microcapsule coating is considered. Effect of temperature and moisture on free vibration response of sandwich shells is investigated. Extended Mori–Tanaka model is applied to characterize the properties of porous microcapsule coating.
Nonlinear vibration analysis of CFRR sandwich doubly-curved shallow shells with a porous microcapsule coating in hygrothermal environment
https://orcid.org/0000-0001-9997-9500
Abstract In this paper, the nonlinear vibration characteristics and response of laminated carbon fiber reinforced resin (CFRR) doubly-curved shallow shell with a porous microcapsule coating under hygrothermal environment is investigated. Based on the first-order shear deformation theory, the nonlinear equations of motion are obtained by using Hamilton’s principle, which are solved by utilizing the direct integration method and Runge–Kutta method. The effect of temperature and moisture, geometric parameters of microcapsules, geometric parameters of the shell, laying angle for carbon fiber and porosity of coating matrix are considered. Through numerical examples, it is found that temperature, moisture, length of edges, laying angle for carbon fiber and porosity of coating matrix have a positive effect on the dimensionless nonlinear frequency ratio, but negative effect on the dimensionless linear and nonlinear natural frequency of the shell. In addition, temperature, moisture, length of edges, laying angle for carbon fiber and porosity of coating matrix are proportional to the dimensionless nonlinear amplitude of the shell.
Graphical abstract Display Omitted
Highlights CFRR sandwich doubly-curved shallow shells with porous microcapsule coating is considered. Effect of temperature and moisture on free vibration response of sandwich shells is investigated. Extended Mori–Tanaka model is applied to characterize the properties of porous microcapsule coating.
Nonlinear vibration analysis of CFRR sandwich doubly-curved shallow shells with a porous microcapsule coating in hygrothermal environment
https://orcid.org/0000-0001-9997-9500
Abstract In this paper, the nonlinear vibration characteristics and response of laminated carbon fiber reinforced resin (CFRR) doubly-curved shallow shell with a porous microcapsule coating under hygrothermal environment is investigated. Based on the first-order shear deformation theory, the nonlinear equations of motion are obtained by using Hamilton’s principle, which are solved by utilizing the direct integration method and Runge–Kutta method. The effect of temperature and moisture, geometric parameters of microcapsules, geometric parameters of the shell, laying angle for carbon fiber and porosity of coating matrix are considered. Through numerical examples, it is found that temperature, moisture, length of edges, laying angle for carbon fiber and porosity of coating matrix have a positive effect on the dimensionless nonlinear frequency ratio, but negative effect on the dimensionless linear and nonlinear natural frequency of the shell. In addition, temperature, moisture, length of edges, laying angle for carbon fiber and porosity of coating matrix are proportional to the dimensionless nonlinear amplitude of the shell.
Graphical abstract Display Omitted
Highlights CFRR sandwich doubly-curved shallow shells with porous microcapsule coating is considered. Effect of temperature and moisture on free vibration response of sandwich shells is investigated. Extended Mori–Tanaka model is applied to characterize the properties of porous microcapsule coating.
Nonlinear vibration analysis of CFRR sandwich doubly-curved shallow shells with a porous microcapsule coating in hygrothermal environment
He, Qi (author) / Zhou, Yi-Liang (author) / Li, Ming (author) / He, Lin (author) / Dai, Hong-Liang (author)
Thin-Walled Structures ; 185
2023-01-28
Article (Journal)
Electronic Resource
English
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