Dynamic Response of Three-Layered Annular Plate with Imperfections

Pawlus, Dorota; Isaieva, Svitlana

doi:10.2478/sgem-2014-0032

Cited by 2 publications

(4 citation statements)

References 9 publications

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“…Especially, the attention was focused on the influence of the plate imperfections and the increase in load parameter on critical plate parameters and its supercritical behaviour. This work is an extension and a complement to the analyses of examined plates presented in work by Pawlus [9], [ 1 O], [ 11]. The form of the basic system of the differential equations, which is the solution to the problem of deflections of three-layered, annular plates with elastic core under compressive loads, has been presented in work [9].…”

Section: Introductionmentioning

confidence: 99%

“…This work is an extension and a complement to the analyses of examined plates presented in work by Pawlus [9], [ 1 O], [ 11]. The form of the basic system of the differential equations, which is the solution to the problem of deflections of three-layered, annular plates with elastic core under compressive loads, has been presented in work [9]. The calculations were carried out using the approximation finite difference method.…”

Section: Introductionmentioning

confidence: 99%

“…The evaluation of the critical plate parameters depending on the effect of thickness and material parameters of plate core was the subject of consideration in work [10]. The calculations were carried out using the method presented in [9] and using the fi nite element method in the ABAQUS system.…”

Section: Introductionmentioning

confidence: 99%

“…The way to the solutions to the buckling problem, presented in works [9], [10], [11], refers to the solutions obtained for elastic or viscoelastic homogeneous plate described in works by: Wojciech [12], Trombski and Wojciech [13], Pawlus [14], [15], respectively. The analytical formulae of homogeneous plates have been conformed to the laminar structure keeping the way of numeric solution based on the approximation, finite difference method.…”

Section: Introductionmentioning

confidence: 99%

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Archive of Mechanical Engineering

Pawlus

2019

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Three-layered, annular plate with viscoelastic core is subjected to loads acting in the plane of the plate facings. One formulates the dynamic, stability problem concerning the action of time-dependent compressive stress on a plate with imperfection. This problem has been solved. One created the basic system of differential equations in which the approximation fi nite difference method was used for calculations. The essential analysis of the problem was concentrated on evaluation of the influence of the plate imperfection rate and the rate of plate loading growth on the results of calculation of critical parameters at the moment of loss of plate stability. It determines the analysed problem of sensitivity of the plate to imperfection and loading. In the evaluation of the dynamics of this problem, the dynamic factor defi ned as the quotient of the critical, dynamic load to the static one was used. The idea of dynamic factor and the type of the accepted criterion of the loss of plate stability were taken from the Volmir's work. The observations were confirmed by comparable results of calculations of plate models built in finite element method using the ABAQUS system. The analysis of the stress state in an exemplary plate model calculated in FEM demonstrated the importance of the strength condition in total evaluation of the plate work. One achieved satisfactory correctness of results in both methods.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Archive of Mechanical Engineering

Pawlus

2019

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The Temperature Field Effect on Dynamic Stability Response of Three-layered Annular Plates for Different Ratios of Imperfection

Pawlus

2023

Studia Geotechnica Et Mechanica

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The paper presents the temperature field effect on the dynamic stability problem of plates with imperfection. The main objective is to conduct numerical investigations which show the relations between the imperfection ratio and plate dynamic response in a thermal environment. The plate is composed of three layers: thin facings and a thicker core. The plate can be loaded mechanically and thermally or only thermally. The facings are mechanically compressed with the forces acting in a plane. The temperature field model is defined by the temperature difference, which occurs between the plate edges. Two plate models are examined as follows: built using the approximation methods – orthogonalization and finite differences – and composed of finite elements. The analytical and numerical solution procedure is the main one, which is the proposal to perform the problem analysis. The plate reaction is described by the obtained values of the critical temperature differences for plates loaded only thermally and by the critical mechanical loads and the corresponding temperature differences for plates loaded mechanically and subjected to the uncoupled temperature field. The effect of the plate imperfection ratio under time-dependent loads is shown by numerous observations and results, which are shown graphically. The importance of the imperfection ratio on the plate's dynamic stability response in complex loading conditions is studied.

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Dynamic Response of Three-Layered Annular Plate with Imperfections

Cited by 2 publications

References 9 publications

Archive of Mechanical Engineering

Archive of Mechanical Engineering

The Temperature Field Effect on Dynamic Stability Response of Three-layered Annular Plates for Different Ratios of Imperfection

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