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Free axisymmetric vibrations of composite annular sandwich plates by higher-order theory using Chebyshev collocation technique
https://orcid.org/0000-0002-0608-5610
Abstract Free axisymmetric vibrations of composite annular sandwich plates with thick isotropic core and orthotropic facings have been studied using Reddy's higher-order shear deformation theory. Core is assumed to be of uniform thickness while the face sheets are treated as membranes. Equations of motion and natural boundary conditions are developed using Hamilton's principle. Chebyshev collocation technique has been applied to get the frequency equations for clamped-clamped, clamped-simply supported and clamped-free edge conditions. Obtained equations are solved numerically for the lowest three roots and reported as the frequency parameters for the first three modes of vibration. Results obtained from the proposed approach are validated by comparing them numerically and graphically with their counterparts available in the literature. Detailed numerical results are given to analyze the effects of core thickness, thickness of faces and radii ratios on the frequency parameter. It is also shown that the published analysis based on first-order theory is not suitable for estimation of natural frequency of annular sandwich plate with thick core. Three dimensional mode shapes have been plotted for a specified plate for all the three boundary conditions.
Highlights For the first time, the axisymmetric vibrations of composite annular sandwich plates are studied using HSDT. Orthotropic facings are considered. Studies performed earlier based on FSDT are not suitable for the plates with thick core. Effects of change in plate parameter values on the frequency parameter are shown numerically and graphically.
Free axisymmetric vibrations of composite annular sandwich plates by higher-order theory using Chebyshev collocation technique
https://orcid.org/0000-0002-0608-5610
Abstract Free axisymmetric vibrations of composite annular sandwich plates with thick isotropic core and orthotropic facings have been studied using Reddy's higher-order shear deformation theory. Core is assumed to be of uniform thickness while the face sheets are treated as membranes. Equations of motion and natural boundary conditions are developed using Hamilton's principle. Chebyshev collocation technique has been applied to get the frequency equations for clamped-clamped, clamped-simply supported and clamped-free edge conditions. Obtained equations are solved numerically for the lowest three roots and reported as the frequency parameters for the first three modes of vibration. Results obtained from the proposed approach are validated by comparing them numerically and graphically with their counterparts available in the literature. Detailed numerical results are given to analyze the effects of core thickness, thickness of faces and radii ratios on the frequency parameter. It is also shown that the published analysis based on first-order theory is not suitable for estimation of natural frequency of annular sandwich plate with thick core. Three dimensional mode shapes have been plotted for a specified plate for all the three boundary conditions.
Highlights For the first time, the axisymmetric vibrations of composite annular sandwich plates are studied using HSDT. Orthotropic facings are considered. Studies performed earlier based on FSDT are not suitable for the plates with thick core. Effects of change in plate parameter values on the frequency parameter are shown numerically and graphically.
Free axisymmetric vibrations of composite annular sandwich plates by higher-order theory using Chebyshev collocation technique
https://orcid.org/0000-0002-0608-5610
Abstract Free axisymmetric vibrations of composite annular sandwich plates with thick isotropic core and orthotropic facings have been studied using Reddy's higher-order shear deformation theory. Core is assumed to be of uniform thickness while the face sheets are treated as membranes. Equations of motion and natural boundary conditions are developed using Hamilton's principle. Chebyshev collocation technique has been applied to get the frequency equations for clamped-clamped, clamped-simply supported and clamped-free edge conditions. Obtained equations are solved numerically for the lowest three roots and reported as the frequency parameters for the first three modes of vibration. Results obtained from the proposed approach are validated by comparing them numerically and graphically with their counterparts available in the literature. Detailed numerical results are given to analyze the effects of core thickness, thickness of faces and radii ratios on the frequency parameter. It is also shown that the published analysis based on first-order theory is not suitable for estimation of natural frequency of annular sandwich plate with thick core. Three dimensional mode shapes have been plotted for a specified plate for all the three boundary conditions.
Highlights For the first time, the axisymmetric vibrations of composite annular sandwich plates are studied using HSDT. Orthotropic facings are considered. Studies performed earlier based on FSDT are not suitable for the plates with thick core. Effects of change in plate parameter values on the frequency parameter are shown numerically and graphically.
Free axisymmetric vibrations of composite annular sandwich plates by higher-order theory using Chebyshev collocation technique
Guru, Nitish Kumar (author) / Jain, Saral Kumar (author)
Thin-Walled Structures ; 155
2020-04-29
Article (Journal)
Electronic Resource
English
Free vibrations of composite sandwich plates by Chebyshev collocation technique
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Free vibration analysis of composite sandwich plates based on Reddy's higher-order theory
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