Vibrations of stepped orthotropic square plates
TL;DR: In this article, the effect of fiber orientation and boundary conditions on the vibration behaviour of stepped orthotropic square plates was studied using the Finite Element Method, and the results were compared with those of constant thickness plates.
Abstract: The effect of fibre orientation and boundary conditions on the vibration behaviour of stepped orthotropic square plates is studied using the Finite Element Method. The results are compared with those of constant thickness plates.
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TL;DR: In this article, the Analytical Strip Method (ASM) is presented for the free flexural vibration problem of rectangular plates with intermediate flexible supports and different edge conditions, where the plate is divided into strips, the number of which depends on the geometric discontinuities.
Abstract: The Analytical Strip Method (ASM) is presented for the free flexural vibration problem of rectangular plates with intermediate flexible supports and different edge conditions. Orthotropic plates and plates having single or multiple step variation in thickness are considered. The plate is divided into strips, the number of which depends on the geometric discontinuities. The solution employs the classical method of separation of variables, and the deflection for each plate strip is expressed in a single trigonometric series. Results are presented and, when possible, compared with previously published ones.
26 citations
TL;DR: In this article, the spline element method was used to deal with the vibrations of stepped annular sector plates with arbitrary boundary conditions using the splines element method, and several examples were solved, and results were compared with those obtained by other numerical methods.
Abstract: This paper deals with the vibrations of stepped annular sector plates with arbitrary boundary conditions using the spline element method. To demonstrate the accuracy of the present method, several examples are solved, and results are compared with those obtained by other numerical methods. Good accuracy is obtained. The effect of stepped thickness ratio, κ, stepped width ratio, μ and sector angle, φ on frequencies of stepped annular sector plates with several boundary conditions are investigated.
3 citations
References
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01 Jan 2008
TL;DR: The combination of materials to form a new material system with enhanced material properties is a well documented historical fact as discussed by the authors, which is why many artisans from the Mediterranean and Far East used a form of composite technology in molding art works which were fabricated by layering cut paper in various sizes for producing desired shapes and contours.
Abstract: The combination of materials to form a new material system with enhanced material properties is a well documented historical fact. For example, the ancient Jewish workers during their tenure under the Pharaohs used chopped straws in bricks as a means of enhancing their structural integrity. The Japanese Samurai warriors were known to use laminated metals in the forging of their swords to obtain desirable material properties. Even certain artisans from the Mediterranean and Far East used a form of composite technology in molding art works which were fabricated by layering cut paper in various sizes for producing desired shapes and contours.
3,908 citations
Book•
01 Jan 2008TL;DR: The authors provides both scientists and engineers with all the information they need to understand composite materials, covering their underlying science and technological usage, including surface coatings, highly porous materials, bio-composites and nano-com composites, as well as thoroughly revised chapters on fibres and matrices.
Abstract: This fully expanded and updated edition provides both scientists and engineers with all the information they need to understand composite materials, covering their underlying science and technological usage It includes four completely new chapters on surface coatings, highly porous materials, bio-composites and nano-composites, as well as thoroughly revised chapters on fibres and matrices, the design, fabrication and production of composites, mechanical and thermal properties, and industry applications Extensively expanded referencing engages readers with the latest research and industrial developments in the field, and increased coverage of essential background science makes this a valuable self-contained text A comprehensive set of homework questions, with model answers available online, explains how calculations associated with the properties of composite materials should be tackled, and educational software accompanying the book is available online An invaluable text for final-year undergraduates in materials science and engineering, and graduate students and researchers in academia and industry
2,671 citations
TL;DR: In this paper, a method of computing the natural frequencies of vibration of flat plates of arbitrary shape is outlined in which the plate is considered as an assemblage of elements and stiffness and inertia matrices are derived for a rectangular isotropic plate element of uniform thickness.
Abstract: A method of computing the natural frequencies of vibration of flat plates of arbitrary shape is outlined in which the plate is considered as an assemblage of elements.Both stiffness and inertia matrices are derived for a rectangular isotropic plate element of uniform thickness, and these matrices are used to find the natural frequencies of square plates subject to various boundary conditions. Comparison of finite element frequencies with known exact, experimental and energy solutions shows the method to give good results even for relatively few elements.
61 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.
Abstract: The effect of fibre orientation on the fundamental frequency of thin rectangular/square orthotropic plates is studied using a high precision triangular orthotropic finite element. In the case of a square plate with a simply supported boundary condition, the fundamental frequency increases as the fibre orientation varies from 0 to 45° and decreases symmetrically from 45 to 90°. An opposite trend is observed in the case of a square plate with clamped boundary conditions. The element is useful in studying plates of arbitrary plan form and arbitrary fibre orientation.
17 citations