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Journal ArticleDOI

Studies on dynamic behaviour of a cantilever square plate with varying thickness

17 Jun 1993-Computers & Structures (Pergamon)-Vol. 47, Iss: 6, pp 995-1003
Abstract: The effects of different types of variations in profile and thickness on the amplitude and the dynamic bending stresses of a square cantilever plate excited by a point harmonic load resonance has been investigated. A four-noded plate bending element has been used for the analysis. The response has been determined for the first three modes of vibration. In each case the results obtained for different thickness variations are compared with those of the uniform thickness plate. It is observed that considerable reductions in amplitude and/or bending stresses can be achieved by the proper selection of thickness variation.
Topics: Bending of plates (68%), Bending (56%), Cantilever (54%), Vibration (50%)
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TL;DR: A bibliographical review of the finite element methods applied for the linear and nonlinear, static and dynamic analyses of basic structural elements from the theoretical as well as practical points of view is given.
Abstract: Gives a bibliographical review of the finite element methods (FEMs) applied for the linear and nonlinear, static and dynamic analyses of basic structural elements from the theoretical as well as practical points of view. The range of applications of FEMs in this area is wide and cannot be presented in a single paper; therefore aims to give the reader an encyclopaedic view on the subject. The bibliography at the end of the paper contains 2,025 references to papers, conference proceedings and theses/dissertations dealing with the analysis of beams, columns, rods, bars, cables, discs, blades, shafts, membranes, plates and shells that were published in 1992‐1995.

36 citations

Journal ArticleDOI
01 May 2013-
Abstract: In the present work, a modified higher-order shear deformation theory is developed to analyze isotropic and composite plates to obtain the static response as well as dynamic characteristics using Ritz solution technique. The displacement-field equations of Lo’s higher order shear deformation theory are modified by representing the total rotation of the normal to the mid-plane by two components, bending and shear rotations. The model is valid for thin and thick plates. The plates are subjected to mechanical loads with different types of boundary conditions. A Mathematica code is developed to analyze different plate problems. The obtained results are compared to the available studies solved by different theories and finite element methods. It is shown that the obtained results are accurate using less number of degrees of freedom.

2 citations

Journal ArticleDOI
Abstract: In this study, dynamic response of cantilever Fiber Metal Laminate (FML) plates subjected to the impact of a large mass is studied. Aluminum (Al) sheets are placed instead of some Fiber Reinforced Plastic (FRP) layers. The effect of the Al layers on contact force and deflection of the plates is investigated by considering the interaction between the impactor and the target in the impact analysis. A two degrees-of-freedom system consisting of springs- masses and finite element modeling of the ABAQUS/Explicit software were employed to model the interaction between the impactor and the target. The results indicate that some parameters like the layer sequence, mass and velocity of the impactor, mass of the target are important factors which affect the impact response of the plates.

Cites background from "Studies on dynamic behaviour of a c..."

  • ...Roy and Ganesan (1993) studied the effects of different types of variations in profile and thickness of the amplitude of vibration and dynamic bending stresses of a square cantilever plate subjected to impact load....


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Journal ArticleDOI
01 Jul 1989-AIAA Journal
Abstract: N ATURAL frequencies of a trapezoidal cantilever plate of variable thickness, which model an aircraft wing structure approximately, are determined using energy techniques. Characteristic orthogonal polynomials in two variables are constructed to describe the structural deflections, which are used in the Rayleigh-Ritz method to obtain the natural frequencies. The fundamental natural frequencies for different parameter values are also obtained using a deflection function containing an optimized exponent. The first technique can be used to obtain the natural frequencies and corresponding mode shapes for the preliminary design of aircraft wing structures.

25 citations

Journal ArticleDOI
Abstract: A method is presented for computing lower and upper bounds for vibrational frequencies of clamped plates with general thickness variations. The method is illustrated for plates with linear tapers.

16 citations

Journal ArticleDOI
Abstract: Results are presented for the fundamental frequency of a rectangular plate having a thickness which varies in a bilinear fashion in the x -direction. Translational and rotational flexibilities are taken into account at all edges. A simple algorithm, which allows one to evaluate the fundamental frequency of vibration, is derived by making use of the Ritz method and expressing the fundamental displacement function in terms of a polynomial co-ordinate function which satisfies approximately the natural boundary conditions.

15 citations

Journal ArticleDOI
Abstract: This paper is concerned with the determination of natural frequencies of a vibrating skew plate with variable thickness. Free and forced vibrations are treated for different ratios of the sides, skew angle and taper constant. The static deflection has also been obtained as a by product of the present solution.

13 citations

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