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

被引:0
作者
Yan Qing Wang
Chen Liang
Jean W. Zu
机构
[1] Northeastern University,Department of Mechanics, College of Sciences
[2] Northeastern University,Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines
[3] Stevens Institute of Technology,Schaefer School of Engineering and Science
来源
Journal of the Brazilian Society of Mechanical Sciences and Engineering | 2018年 / 40卷
关键词
Metal foam beam; Porosity distribution; Wave propagation; Euler–Bernoulli beam theory; Timoshenko beam theory;
D O I
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中图分类号
学科分类号
摘要
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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