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Steel and Composite Structures Volume 10, Number 2, April 2010 , pages 151-168 DOI: https://doi.org/10.12989/scs.2010.10.2.151 |
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Dynamic stability of a metal foam rectangular plate |
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D. Debowski, K. Magnucki and M. Malinowski
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| Abstract | ||
| The subject of the paper is an isotropic metal foam rectangular plate. Mechanical properties of metal foam vary continuously through plate of the thickness. A nonlinear hypothesis of deformation of plane cross section is formulated. The system of partial differential equations of the plate motion is derived on the basis of the Hamilton\'s principle. The system of equations is analytically solved by the Bubnov-Galerkin method. Numerical investigations of dynamic stability for family rectangular plates with respect analytical solution are performed. Moreover, FEM analysis and theirs comparison with results of numerical-analytical calculations are presented in figures. | ||
| Key Words | ||
| metal foam plate; dynamic stability; elastic buckling; shear effect. | ||
| Address | ||
| D. Debowski: Institute of Mechanical Engineering and Machine Operation, University of Zielona Gora, ul. Podgorna 50, PL. 65-246 Zielona Gora, Poland K. Magnucki: Institute of Applied Mechanics, Poznan University of Technology, ul. Piotrowo 3, PL. 60-965 Poznan, Poland M. Malinowski: Institute of Mechanical Engineering and Machine Operation, University of Zielona Gora, ul. Podgorna 50, PL. 65-246 Zielona Gora, Poland | ||