Free Damped Vibrations of Sandwich Shells of Revolution

Korjakin, A.; Rikards, R. B.; Altenbach, Holm; Chate, Andris

doi:10.1106/lb2e-22l4-7ja6-caed

Cited by 32 publications

(14 citation statements)

References 48 publications

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“…On the other hand, the results are compared with the works of Korjakin et al. [10] and Wilkins et al. [8] for the vibration of sandwich conical shells based on FSDT.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

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Vibration and buckling analysis of laminated sandwich conical shells using higher order shear deformation theory and differential quadrature method

Nasihatgozar

Khalili

2017

Jnl of Sandwich Structures & Materials

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Vibration and buckling analysis of laminated sandwich truncated conical shells with compressible or incompressible core are presented in this work considering curvature effects. The formulation uses the quadratic and cubic functions for transverse and in-plane displacements of the core and the first-order shear deformation theory for the face sheets. The motion equations of each individual layer are derived according to the principle of minimum total potential energy considering the continuity of the displacements and the internal stress fields at the interfaces. Differential quadrature method is applied in order to obtain the frequency and buckling load of the sandwich structure. The effects of different parameters such as core to face sheet stiffness ratio, number of layers of the face sheets, boundary condition, geometrical parameters of the core and the face sheets, semi vertex angle of the cone, trapezoidal shape, and in-plane stresses of the core are examined on the vibration and buckling response of sandwich truncated conical shells. Comparison of the present results with those reported in the literature confirms the accuracy of the proposed theory. Numerical results indicate that the effects of in-plane stresses of the core significantly affect the frequency with increasing the core to face sheet stiffness ratio.

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“…On the other hand, the results are compared with the works of Korjakin et al. [10] and Wilkins et al. [8] for the vibration of sandwich conical shells based on FSDT.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Using a zig-zag model, the free damped vibrations of sandwich shells of revolution were investigated by Korjakin et al. [10]. Fares et al.…”

Section: Introductionmentioning

confidence: 99%

Vibration and buckling analysis of laminated sandwich conical shells using higher order shear deformation theory and differential quadrature method

Nasihatgozar

Khalili

2017

Jnl of Sandwich Structures & Materials

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“…(27) represents free vibration of the shell, by adding the work done by external force in Eq. (25) and summing the loading vector F on the right side of Eq. (27), then, the characteristic equation for the forced vibration of the shell will be effortless obtained.…”

Section: ð28:bþmentioning

confidence: 99%

“…Singh [24] studied the free vibration of open deep sandwich shells which consist of thin facings and a moderately thick core. The free damped vibrations of sandwich shells including cylindrical, conical and spherical sandwich shells were researched by Korjakin et al [25] using a zig-zag model.…”

Section: Introductionmentioning

confidence: 99%

A unified method for the vibration and damping analysis of constrained layer damping cylindrical shells with arbitrary boundary conditions

Jin

Yang

Liu

et al. 2015

Composite Structures

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“…By using a finite element method, Bardell et al (1999) presented an efficient approach to analyze the vibration of sandwich conical shells. Korjakin et al (2001), investigated the free damped vibrations of sandwich shells of revolution. Zhong and Reimerdes (2007) used a higher-order theory to investigate the buckling of cylindrical and conical sandwich shells having a flexible core.…”

Section: Introductionmentioning

confidence: 99%

Free Damped Vibration of Rotating Truncated Conical Sandwich Shells Using an Improved High-Order Theory

Shekari

Ghasemi

Malekzadehfard

2017

Lat. Am. j. solids struct.

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In the present paper, an improved high-order theory is employed to study the free vibration of rotating truncated sandwich conical shells with laminated face sheets and a soft core. The formulation is based on a three-layer sandwich model. First-order shear deformation theory (FSDT) is used for face sheets and quadratic and cubic functions are assumed for transverse and in-plane displacements of the core, respectively. The governing equations of motion are derived according to the Hamilton's principle. Also, continuity conditions of the displacements at the interfaces, as well as transverse flexibility, transverse normal strain and stress of the core have been considered. Analytical solution for free vibration of simply supported sandwich conical shells is presented using Galerkin's method. Effect of some geometrical parameters is also studied on the fundamental frequency of the sandwich shells. Comparison of the present results with those in the literature confirms the accuracy of the proposed theory.

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Free Damped Vibrations of Sandwich Shells of Revolution

Cited by 32 publications

References 48 publications

Vibration and buckling analysis of laminated sandwich conical shells using higher order shear deformation theory and differential quadrature method

Vibration and buckling analysis of laminated sandwich conical shells using higher order shear deformation theory and differential quadrature method

A unified method for the vibration and damping analysis of constrained layer damping cylindrical shells with arbitrary boundary conditions

Free Damped Vibration of Rotating Truncated Conical Sandwich Shells Using an Improved High-Order Theory

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