Vibration of antisymmetric angle-ply laminated plates under higher order shear theory

Javed, Saira; Viswanathan, K. K.; Aziz, Zainal Abdul; Karthik, K.; Lee, J. H.

doi:10.12989/scs.2016.22.6.1281

Cited by 7 publications

(4 citation statements)

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“…e individuality of the current study is evident that none of the abovementioned researchers used spline approximation to analyse the free vibrational problems except Javed et al [43]. Moreover, Javed et al [43] used the spline approximation method to analyse the free vibration of plates whereas in this research spline approximation is used to analyse composite cylindrical shells.…”

Section: Introductionmentioning

confidence: 87%

“…Moreover, Javed et al [43] used the spline approximation method to analyse the free vibration of plates whereas in this research spline approximation is used to analyse composite cylindrical shells. In addition to that stress-strain relation of plates and cylindrical shells is different so derivation of equilibrium equation was completely different as compared with Javed et al [43].…”

Section: Introductionmentioning

confidence: 99%

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Free Vibration of Composite Cylindrical Shells Based on Third-Order Shear Deformation Theory

Nuwairan

Javed

2021

Journal of Mathematics

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The focus of this study is to analyse the free vibration of cylindrical shells under third-order shear deformation theory (TSDT). The constitutive equations of the cylindrical shells are obtained using third-order shear deformation theory (TSDT). The surface and traverse displacements are expected to have cubic and quadratic variation. Spline approximation is used to approximate the displacements and transverse rotations. The resulting generalized eigenvalue problem is solved for the frequency parameter to get as many eigenfrequencies as required starting from the least. From the eigenvectors, the spline coefficients are computed from which the mode shapes are constructed. The frequency of cylindrical shells is analysed by varying circumferential node number, length dimension, layer number, and different materials. The authenticity of the present formulation is established by comparing with the available FEM results.

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Section: Introductionmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Free Vibration of Composite Cylindrical Shells Based on Third-Order Shear Deformation Theory

Nuwairan

Javed

2021

Journal of Mathematics

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“…Javed et al [237][238][239] analyzed free vibration of antisymmetric cross-ply and angle-ply laminated composite plates with variable thickness derived for simply supported and clamped-clamped boundary conditions. The solution obtained was approximate in terms of Bickley-type cubic spline, which is used to calculate the eigenvalues.…”

Section: Equivalent Single-layer Theoriesmentioning

confidence: 99%

Development and applications of shear deformation theories for laminated composite plates: An overview

Maji¹,

Mahato

2020

Journal of Thermoplastic Composite Materials

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This review, overviews the development and applications of shear deformation (SD) laminated composite plate theories. The present overview mainly focuses on theoretical models based on SD theories of laminated composite plates. This comprehensive review has been categorized with an equivalent single-layer laminate and layerwise laminate theories. An equivalent single-layer laminate theory includes classical laminated plate theory, first-order shear deformation laminated theory, second-order shear deformation laminated theory, third-order shear deformation laminated theory, parabolic shear deformation laminated theory, trigonometric shear deformation laminated theory, hyperbolic shear deformation laminated theory, and higher order shear deformation laminated theory. The layerwise laminate theories include discrete-layer theories and zig-zag theories. In addition, the 3D elasticity solutions theory, the mixed (hybrid) plate theories, unified theories, advanced shear deformation theories, and the recently developed smart composite are also reviewed.

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“…The present study can be a benchmark for researchers to verify future results of free vibration of annular circular plates. The spline method was used by Javed et al [48][49][50][51] to solve the free vibrational problems of plates based on the first-order shear deformation theory and higher-order shear deformation theory. The aim of present study is to find the solution of engineering problem using TSDT which makes the calculation more complex but precise.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration of Annular Circular Plates Based on Higher-Order Shear Deformation Theory: A Spline Approximation Technique

Javed

Mukahal

2021

International Journal of Aerospace Engineering

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This research is based on higher-order shear deformation theory to analyse the free vibration of composite annular circular plates using the spline approximation technique. Equilibrium equations are derived, and differential equations in terms of displacement and rotational functions are obtained. Cubic or quantic spline is used to approximate the displacement and rotational functions depending upon the order of these functions. A generalized eigenvalue problem is obtained and solved numerically for eigenfrequency parameter and associated eigenvector of spline coefficients. Frequency of annular circular plates with different numbers of layers with each layer consisting of different materials is analysed. The effect of geometric and material parameters on frequency value is investigated for simply supported condition. A comparative study with existing results narrates the validity of the present results. Graphs and tables depict the obtained results. Some figures and graphs are drawn by using Autodesk Maya and Matlab software.

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Vibration of antisymmetric angle-ply laminated plates under higher order shear theory

Cited by 7 publications

References 0 publications

Free Vibration of Composite Cylindrical Shells Based on Third-Order Shear Deformation Theory

Free Vibration of Composite Cylindrical Shells Based on Third-Order Shear Deformation Theory

Development and applications of shear deformation theories for laminated composite plates: An overview

Free Vibration of Annular Circular Plates Based on Higher-Order Shear Deformation Theory: A Spline Approximation Technique

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