Free vibration of skew laminates

Reddy, A.R. Krishna; Palaninathan, R.

doi:10.1016/s0045-7949(98)00166-7

Cited by 50 publications

(2 citation statements)

References 15 publications

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“…The skew hypar shells have a skew angle with global axes and twisting curvature. Han and Dickinson [1], Krishna Reddy and Palaminathan [2] and others reported free vibration of composite skew plates. The fundamental frequencies of hypar shells with different boundary conditions were reported by Chakravorty et al [3].…”

Section: Introductionmentioning

confidence: 99%

Natural Frequencies and Mode Shapes of Laminated Composite Skew Hypar Shells with Complicated Boundary Conditions Using Finite Element Method

Kumar

Bhargava

Chakrabarti

2012

AMR

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In the present investigation, free vibration behaviour is studied for the laminated composite skew hypar shells having twist radius of curvature. A higher-order shear deformation theory is employed in the C0 finite element formulation. Higher-order terms in the Taylor’s series expansion are used to represent the higher-order transverse cross sectional deformation modes. The formulation includes Sanders’ approximation for doubly curved shells considering the effect of transverse shear. The structural system is considered to be undamped. The correctness of the formulation is established by comparing the present results of problems with those available in the published literature. The effects of different parameters are studied on the free vibration aspects of laminated composite skew hypar shells. Effect of cross curvature is included in the formulation. The C0 finite element formulation has been done quite efficiently to overcome the problem of C1 continuity associated with the HSDT. The isoparametric FE used in the present model consists of nine nodes with seven nodal unknowns per node. Since there is no result available in the literature based on HSDT on the problem of free vibration of laminated composite skew hypar shells, new results are presented by varying geometry, boundary conditions, ply orientations and skew angles which will serve as benchmark for future researchers.

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Section: Introductionmentioning

confidence: 99%

Natural Frequencies and Mode Shapes of Laminated Composite Skew Hypar Shells with Complicated Boundary Conditions Using Finite Element Method

Kumar

Bhargava

Chakrabarti

2012

AMR

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“…[15]. Reddy and Palaninathan [16] have dealt with the problem using high precision plate bending finite element. Makhecha et.al.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Analysis of Skew Laminates Using Finite Element Method

Singha,

Prabhakar,

Ganapathi

2023

joast

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Here, nonlinear dynamic behavior of composite skew plates is investigated using the finite element method. The, formulation is based on shear deformation theory. The nonlinear governing equations of motion are solved using direct, iteration procedure for free vibration case, and Newmark's time integration technique is employed for dynamic response analysis. Few numerical examples are considered to highlight the influences of skew angle, fiber orientation, boundary condition and aspect ratio on the nonlinear dynamic characteristics of composite skew laminates.

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Discrete singular convolution methodology for free vibration and stability analyses of arbitrary straight‐sided quadrilateral plates

Cívalek

2007

Commun. Numer. Meth. Engng.

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SUMMARYA new discrete singular convolution (DSC) method is developed for vibration, buckling and static analyses of arbitrary straight-sided quadrilateral plates. The straight-sided quadrilateral domain is mapped into a square domain in the computational space using a four-node element. By using the geometric transformation, the governing equations and boundary conditions of the plate are transformed from the physical domain into a square computational domain. Numerical examples illustrating the accuracy and convergence of the DSC method for straight-sided quadrilateral thin plates such as rectangular, skew, trapezoidal and rhombic plates are presented. The results obtained by the DSC method were compared with those obtained by the other numerical and analytical methods.

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Free vibration of skew laminates

Cited by 50 publications

References 15 publications

Natural Frequencies and Mode Shapes of Laminated Composite Skew Hypar Shells with Complicated Boundary Conditions Using Finite Element Method

Natural Frequencies and Mode Shapes of Laminated Composite Skew Hypar Shells with Complicated Boundary Conditions Using Finite Element Method

Nonlinear Dynamic Analysis of Skew Laminates Using Finite Element Method

Discrete singular convolution methodology for free vibration and stability analyses of arbitrary straight‐sided quadrilateral plates

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