Dynamic stability of a metal foam rectangular plate

Dębowski, Daniel; Magnucki, Krzysztof; Malinowski, Marek T.

doi:10.12989/scs.2010.10.2.151

Cited by 23 publications

(6 citation statements)

References 20 publications

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“…With the consideration of the stress state and critical force, Magnucka-Blandzi and Magnucki [6] studied the strength and stability of sandwich beams with a metal foam core. Debowski et al [7] investigated the dynamic stability of a radial compressed metal foam circular plate. Jabbari et al [8] presented the buckling analysis of thermal loaded functionally graded circular plate made of porous metal foams materials.…”

Section: Introductionmentioning

confidence: 99%

Examining wave propagation characteristics in metal foam beams: Euler–Bernoulli and Timoshenko models

Wang

Liang

2018

J Braz. Soc. Mech. Sci. Eng.

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In the present work, wave propagation in metal foam beams is investigated based on the Euler-Bernoulli and Timoshenko beam theories. For the structural composition, both symmetric and asymmetric porosity distribution models are taken into account. The elastic moduli and mass density of metal foam beams show gradient changes along the thickness direction. Detailed wave dispersion results with respect to the variation of wave numbers for metal foam beams are explicitly studied by theoretical analysis and numerical simulations. The asymptotic phase velocities are obtained in the Timoshenko beam. In addition, effects of the porosity coefficient, porosity distribution and the beam thickness on the phase velocity in metal foam beams are analyzed in detail.

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Section: Introductionmentioning

confidence: 99%

Examining wave propagation characteristics in metal foam beams: Euler–Bernoulli and Timoshenko models

Wang

Liang

2018

J Braz. Soc. Mech. Sci. Eng.

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“…Kapuria et al (2008) described the theoretical model of bending and free vibration of layered functionally graded beams and its experimental validation. Debowski et al (2010) studied the dynamic stability problem of a metal foam rectangular plate under compression in the middle plane. Magnucka-Blandzi (2011) presented bending and dynamic stability results of studies of the sandwich beam with a metal foam core.…”

Section: Introductionmentioning

confidence: 99%

Bending, buckling and free vibration of a beam with unsymmetrically varying mechanical properties

Magnucki

Lewiński

Magnucka‐Blandzi

et al. 2018

jtam

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The subject of the paper is a beam with unsymmetrically varying mechanical properties in the depth direction. The nonlinear hypothesis of plane cross section deformation is assumed. Based on Hamilton's principle, two differential equations of motion are obtained. The system of equations is analytically solved with a view to analyse the bending, buckling and free vibration problems of the beam. Moreover, the FEM model of the beam is developed and deflections, critical axial forces and natural frequencies of the beam are calculated. The results of these two methods are compared.

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“…Buckling problems of plates and shells are at present studied. Dębowski et al [18] theoretically investigated the dynamic stability of a metal foam rectangular plate, however Belica et al [19] studied the dynamic stability of an isotropic metal foam cylindrical shell subjected to external pressure and axial compression. Moulton and Goriely [20] presented interesting problem of circumferential buckling instability of a cylindrical elastic tube under uniform radial external pressure.…”

Section: Introductionmentioning

confidence: 99%

Buckling and post-buckling behaviour of shallow – nearly flat cylindrical panels under axial compression

Magnucka‐Blandzi

Magnucki

2016

Bulletin of the Polish Academy of Sciences Technical Sciences

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Abstract. The paper is devoted to buckling problem of axially compressed shallow cylindrical panels. Governing differential equations of the nonlinear theory of shallow cylindrical shells are analytically solved. Critical stresses and equilibrium paths of the panels with small curvatures are analytically studied. The formula of the critical stresses for almost flat, cylindrical panels is derived. The "shallowness" of the panel is given by the parameter ® and formulae are derived for a range of this parameter. The range of values of sectorial angle for these panels is also defined. is a particular structure of this family. The analytic formula of the critical stresses for almost flat, cylindrical panels is presented.The main goal of the study consists in analytical formulation of the critical and post critical states for the family of shallow -almost flat cylindrical panels with consideration of the flat panel.2. Buckling problem of the shallow cylindrical panels 2.1. Analytical solution of the governing equations. The governing differential equations of the nonlinear theory of shallow

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Dynamic stability of a metal foam rectangular plate

Cited by 23 publications

References 20 publications

Examining wave propagation characteristics in metal foam beams: Euler–Bernoulli and Timoshenko models

Examining wave propagation characteristics in metal foam beams: Euler–Bernoulli and Timoshenko models

Bending, buckling and free vibration of a beam with unsymmetrically varying mechanical properties

Buckling and post-buckling behaviour of shallow – nearly flat cylindrical panels under axial compression

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