Hydroelastic dynamic analysis of axially moving plates in continuous hot-dip galvanizing process

Wang, Yan Qing; Huang, Xiao; Li, Jian

doi:10.1016/j.ijmecsci.2016.03.010

Cited by 127 publications

(20 citation statements)

References 39 publications

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“…In recent years, several solution methodologies have been proposed to analyze nonlinear mechanical behaviors of structures, such as multiple-scale method [84], harmonic balance method [85,86], and Galerkin method [87]. In the current study, the multiple time-scales technique is put to use to solve the problem.…”

Section: Fg Nonlinear Shell Model Based On the Surface Theory Of Elasmentioning

confidence: 99%

Surface stress effect on the nonlinear free vibrations of functionally graded composite nanoshells in the presence of modal interaction

Xie

Sahmani

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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As one of the innovative materials, functionally graded (FG) composite materials have the capability to vary microstructure and design attributes from one side to other representing the desired material properties. The prime aim of this work is to analyze the surface stress effect on the nonlinear free vibration response of FG cylindrical nanoshells incorporating various modal interactions. To this end, the Gurtin-Murdoch theory of elasticity together with the von Karman geometrical nonlinearity is implemented to the classical shell theory to construct an efficient size-dependent shell model. In order to take the modal interactions between the main oscillation mode and various symmetric vibration modes, the lateral deflection of the FG nanoshell is expressed as combination of the simple main vibration mode and convergent symmetric modes. Thereafter, the solution of problem is considered as the summation of the homogenous and particular parts to put the Galerkin technique to use. Finally, the multiple timescales method is employed to achieve analytical expression for the surface elastic-based frequency response of FG nanoshells. It is displayed that in the presence of modal interaction, by increasing the shell deflection, the value of the frequency ratio decreases while in the absence of modal interaction, it enhances.

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Section: Fg Nonlinear Shell Model Based On the Surface Theory Of Elasmentioning

confidence: 99%

Surface stress effect on the nonlinear free vibrations of functionally graded composite nanoshells in the presence of modal interaction

Xie

Sahmani

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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show abstract

“…Once we ignore Nxx0, the eigenvalue problem of free vibrating nanoshells can be obtained as:(boldK−ω2boldM)d*=0 where ω represents the natural frequency of the FG NPMF nanoshell. The non-trivial solution requires vanishing of the determinant of the coefficient matrix in Equation (56) [92,93,94,95,96,97,98].…”

Section: Closed-form Solutionmentioning

confidence: 99%

Vibration and Buckling of Shear Deformable Functionally Graded Nanoporous Metal Foam Nanoshells

Zhang

2019

Nanomaterials

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This article aims to investigate free vibration and buckling of functionally graded (FG) nanoporous metal foam (NPMF) nanoshells. The first-order shear deformation (FSD) shell theory is adopted and the theoretical model is formulated by using Mindlin’s most general strain gradient theory, which can derive several well-known simplified models. The symmetric and unsymmetric nanoporosity distributions are considered for the structural composition. Hamilton’s principle is employed to deduce the governing equations as well as the boundary conditions. Then, via the Navier solution technique, an analytical solution for the free vibration and buckling of FG NPMF nanoshells is presented. Afterwards, a detailed parametric analysis is conducted to highlight the effects of the nanoporosity coefficient, nanoporosity distribution, length scale parameter, and geometrical parameters on the mechanical behaviors of FG NPMF nanoshells.

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“…If disregarding inertia terms and assuming Nxx0=−P, Equation (58) is reduced to the equilibrium equations of a static buckling problem of the 3D-GrF microshell:(boldK−P⋅Kg)⋅boldd={000} where P represents buckling load. Therefore, the critical (minimum) buckling load P cr and vibration frequencies of the 3D-GrF microshell are obtained by solving the above eigenvalue problems [55,56,57].…”

Section: Free Vibration and Buckling Analysismentioning

confidence: 99%

Size-Dependent Free Vibration and Buckling of Three-Dimensional Graphene Foam Microshells Based on Modified Couple Stress Theory

Liu

Wang

2019

Materials

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In this research, the vibration and buckling of three-dimensional graphene foam (3D-GrF) microshells are investigated for the first time. In the microshells, three-dimensional graphene foams can distribute uniformly or non-uniformly through the thickness direction. Based on Love’s thin shell theory and the modified couple stress theory (MCST), size-dependent governing equations and corresponding boundary conditions are established through Hamilton’s principle. Then, vibration and axial buckling of 3D-GrF microshells are analyzed by employing the Navier method and Galerkin method. Results show that the graphene foam distribution type, size effect, the foam coefficient, the radius-to-thickness ratio, and the length-to-radius ratio play important roles in the mechanical characteristics of 3D-GrF microshells.

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Hydroelastic dynamic analysis of axially moving plates in continuous hot-dip galvanizing process

Cited by 127 publications

References 39 publications

Surface stress effect on the nonlinear free vibrations of functionally graded composite nanoshells in the presence of modal interaction

Surface stress effect on the nonlinear free vibrations of functionally graded composite nanoshells in the presence of modal interaction

Vibration and Buckling of Shear Deformable Functionally Graded Nanoporous Metal Foam Nanoshells

Size-Dependent Free Vibration and Buckling of Three-Dimensional Graphene Foam Microshells Based on Modified Couple Stress Theory

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