Effect of fibre orientation and boundary conditions on the vibration behaviour of orthotropic rhombic plates
TL;DR: In this paper, the effect of fiber orientation on the frequencies of thin, rhombic, orthotropic plates has been studied using a parallelogrammic orthotropic plate finite element.
About: This article is published in Composites.The article was published on 1988-03-01. It has received 9 citations till now. The article focuses on the topics: Orthotropic material & Boundary value problem.
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TL;DR: In this paper, the large amplitude free flexural vibration behaviors of thin laminated composite skew plates are investigated using finite element approach, which includes the effects of shear deformation, in-plane and rotary inertia.
Abstract: Here, the large amplitude free flexural vibration behaviors of thin laminated composite skew plates are investigated using finite element approach. The formulation includes the effects of shear deformation, in-plane and rotary inertia. The geometric non-linearity based on von Karman's assumptions is introduced. The non-linear governing equations obtained employing Lagrange's equations of motion are solved using the direct iteration technique. The variation of non-linear frequency ratios with amplitudes is brought out considering different parameters such as skew angle, number of layers, fiber orientation, boundary condition and aspect ratio. The influence of higher vibration modes on the non-linear dynamic behavior of laminated skew plates is also highlighted. The present study reveals the redistribution of vibrating mode shape at certain amplitude of vibration depending on geometric and lamination parameters of the plate. Also, the degree of hardening behavior increases with the skew angle and its rate of change depends on the level of amplitude of vibration.
58 citations
TL;DR: In this article, a general high precision triangular plate bending finite element has been extended to the free vibration analysis of laminated skew plates by deriving the consistent mass matrix in explicit form.
53 citations
TL;DR: In this article, the effects of skew angle, aspect ratio, fiber orientation angle and laminate stacking sequence on the natural frequencies of antisymmetric laminated composite skew plates were also studied.
Abstract: The present paper deals with the experimental and finite element studies carried out on free vibration of isotropic and laminated composite skew plates The natural frequencies were determined using CQUAD8 finite element of MSC/NASTRAN and comparison made between the experimental values and the finite element solution The effects of the skew angle and aspect ratio on the natural frequencies of isotropic skew plates were studied The effects of skew angle, aspect ratio, fiber orientation angle and laminate stacking sequence (keeping total number of layers in the laminate constant) on the natural frequencies of antisymmetric laminated composite skew plates were also studied The experimental values of the natural frequencies are in good agreement with the finite element solution The natural frequencies generally increase with an increase in the skew angle for any given value of aspect ratio
24 citations
17 citations
TL;DR: In this article, the effects of skew angle, aspect ratio, fiber orientation angle and laminate stacking sequence on the natural frequencies of antisymmetric laminated composite skew plates were also studied.
Abstract: The present paper deals with the experimental and finite element studies carried out on free vibration of isotropic and laminated composite skew plates. The natural frequencies were determined using CQUAD8 finite ele- ment of MSC/NASTRAN and comparison made between the experimental values and the finite element solution. The effects of the skew angle and aspect ratio on the nat- ural frequencies of isotropic skew plates were studied. The effects of skew angle, aspect ratio, fiber orientation angle and laminate stacking sequence (keeping total number of layers in the laminate constant) on the natural frequencies of antisymmetric laminated composite skew plates were also studied. The experimental values of the natural fre- quencies are in good agreement with the finite element solution. The natural frequencies generally increase with an increase in the skew angle for any given value of aspect ratio. List of symbols a Plate length b Plate width t Plate thickness NL Number of layers in the laminate E Modulus of elasticity of the material of isotropic plate E1 Young's modulus of the lamina in the longitudinal direction E2 Young's modulus of the lamina in the transverse direction
13 citations
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TL;DR: In this paper, the finite element method is applied to the calculation of the deflection under a uniformly distributed load and the natural frequencies of the rhombic cantilever plate.
Abstract: The finite element method is applied to the calculation of the deflection under a uniformly distributed load and the natural frequencies of the rhombic cantilever plate. This has required the derivation of stiffness and inertia matrices for a plate element of parallelogrammic planform.Although, in common with the work of past investigators, the accuracy of the results decreases with increase in skew angle it is shown that the method is adequate for angles up to about 45°.
23 citations
TL;DR: In this paper, the effect of fibre orientation on the fundamental frequency of thin rectangular/square orthotropic plates was studied using a high precision triangular orthotropic finite element, which is useful in studying plates of arbitrary plan form and arbitrary fibre orientation.
17 citations