Studies on dynamic behaviour of a cantilever square plate with varying thickness
TL;DR: In this article, 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.
About: This article is published in Computers & Structures.The article was published on 1993-06-17. It has received 4 citations till now. The article focuses on the topics: Bending of plates & Bending.
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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
01 May 2013
TL;DR: In this article, 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.
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.
3 citations
TL;DR: In this paper, 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.
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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TL;DR: In this paper, the natural frequencies of a trapezoidal cantilever plate of variable thickness were determined using energy techniques, and the fundamental natural frequencies for different parameter values were also obtained using a deflection function containing an optimized exponent.
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
17 citations
TL;DR: In this article, a method for computing lower and upper bounds for vibrational frequencies of clamped plates with general thickness variations is presented, illustrated for plates with linear tapers, and shown for clamped plate with a linear taper.
16 citations
TL;DR: In this article, the fundamental frequency of a rectangular plate having a thickness which varies in a bilinear fashion in the x-direction 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
TL;DR: In this article, the determination of the natural frequencies of a vibrating skew plate with variable thickness was studied, where free and forced vibrations were treated for different ratios of the sides, skew angle and taper constant.
13 citations