Axisymmetric parametric resonance of polar orthotropic sandwich annular plates

Chen, Yu-Ren; Chen, Lien-Wen

doi:10.1016/j.compstruct.2003.11.007

Cited by 21 publications

(6 citation statements)

References 26 publications

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“…[2,3] are the excellent survey of the work up to 2008 on numerical assessment of classical and refined theories for the analysis of sandwich plates. In these studies, various numerical methods such as Bessel functions [4], Galrkin's method [5], spline finite point method [6], B-spline FSM [7], Discrete layer annular finite element method [8], isoparametric finite element method [9], Finite element method [10], 3D FEM [11], Cubic spline method [12] have been used to obtain the natural frequencies of various models under different constraints.…”

Section: Introductionmentioning

confidence: 99%

Axially Symmetric Vibrations of Circular Sandwich Plates of Linearly Varying Thickness

Rani

Lal

2014

Advances in Intelligent Systems and Computing

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In this paper axisymmetric vibration of circular sandwich plates with honeycomb core of linearly varying thickness has been studied. The facings are of the same thickness and of the same material, are treated as membranes. The facings take the shape of conical shell due to linear thickness variation in the core and hence membranes forces of the facings contribute to the transverse shear of the core. The equations of motion for such a plate have been derived by Hamilton's energy principle. The frequency equations have been obtained by employing differential quadrature method for three different boundary conditions at the edge, namely, clamped, simply supported and free. The lowest three roots of these frequency equations have been obtained for various values of different plate parameters and reported as the frequencies for the first three modes of vibration. Three dimensional mode shapes for specified plates have been presented. Comparison of results with published work has been made.

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Section: Introductionmentioning

confidence: 99%

Axially Symmetric Vibrations of Circular Sandwich Plates of Linearly Varying Thickness

Rani

Lal

2014

Advances in Intelligent Systems and Computing

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“…Further, this consideration provide a number of attractive features such as material saving, weight reduction, stiffness enhancing, high strength and also meet the desirability of economy. Numerous studies dealing with vibration characteristics of sandwich plates are available in the literature and reported in Mirza and Singh (1974), Sherif (1992), Zhou and Li (1996), Yu and Huang (2001), Yuan and Dawe (2002), Wang and Chen (2003), Chen and Chen (2004) and Chang et al (2006) to mention a few. Mirza and Singh (1974) also investigated axisymmetric vibrations of three layered circular plates by taking bending stresses in the facings, but no stress parallel to the faces in the core and to be incompressible in the transverse direction using Bessel functions.…”

Section: Introductionmentioning

confidence: 99%

“…Yuan and Dawe (2002) developed a spline finite strip method for predicting the natural frequencies and mode shapes of rectangular sandwich plates with laminated faces. The discrete layer annular finite element method has been used by Wang and Chen (2003) and Chen and Chen (2004) to study the axisymmetric dynamic stability of sandwich circular plates and parametric resonance of polar orthotropic sandwich annular plates respectively. Using finite element method Chang et al (2006) investigated numerically and experimentally the static deformation and free vibration of plates of variable thickness treating face sheets as Margurre shells and core as antiplane core which provide resistance to transverse shear and normal stress only.…”

Section: Introductionmentioning

confidence: 99%

On the use of differential quadrature method in the study of free axisymmetric vibrations of circular sandwich plates of linearly varying thickness

Lal

Rani

2014

Journal of Vibration and Control

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The present work deals with the free axisymmetric vibrations of circular sandwich plates with core of linearly varying thickness. The face sheets are treated as membranes of equal thickness and the core is assumed to be solid as well as moderately thick. The plate is assumed to be symmetric about the middle surface. Due to linear thickness variation in the core, the face sheets take the shape of conical shell and because of this the face sheet membrane forces contribute to the bending and transverse shear of the core of sandwich plate. The effect of transverse shear and rotatory inertia has been retained in the core. The equations of motion for such a plate have been derived by Hamilton’s energy principle. The frequency equations for three different boundary conditions have been obtained by employing differential quadrature method. The effect of various plate parameters such as taper parameter, thickness of the core at the center, face thickness on the natural frequencies has been studied. Comparison of results has been made.

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“…It should be noticed that the problem of dynamic stability of sandwich structure of annular plate with elastic or viscoelastic core with damping properties is still being undertaken [1]- [3], [14], [15]. This problem is the subject of constant numerical analyses but this work, in the author's opinion, adds some new elements to the knowledge of the field under investigation.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Response of Three-Layered Annular Plate with Imperfections

Pawlus¹,

Isaieva²

2015

Studia Geotechnica Et Mechanica

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This paper presents the imperfection sensitivity of annular plate with three-layered structure. The plate composed of thin elastic facings and a thicker elastic core is loaded in facing plane. The classical issue of a three-layered plate was solved for dynamic deflection problem using the approximation methods: orthogonalization and finite difference. The solution includes the axisymmetric and asymmetric plate modes of the dynamic stability loss. The evaluation of the rate of plate sensitivity to imperfection of plate preliminary geometry has been enriched by the analysis of plate models built of finite elements. The ABAQUS program has been used. The numerous calculation results in the form of deflection characteristics, buckling modes, values of critical parameters create the view of response of dynamic plate structure with different rate of imperfection and linear in time loading growth, too.

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Axisymmetric parametric resonance of polar orthotropic sandwich annular plates

Cited by 21 publications

References 26 publications

Axially Symmetric Vibrations of Circular Sandwich Plates of Linearly Varying Thickness

Axially Symmetric Vibrations of Circular Sandwich Plates of Linearly Varying Thickness

On the use of differential quadrature method in the study of free axisymmetric vibrations of circular sandwich plates of linearly varying thickness

Dynamic Response of Three-Layered Annular Plate with Imperfections

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