Research Article
Jun 1971
Dynamic Stability of Plates by Finite Elements
Authors: Johnny M. Hutt, AM.ASCE, and Ahmed E. SalamAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 97, Issue 3
Abstract
The parametric resonance (dynamic stability) of flat plates under the action of pulsating inplane normal and shear loads is investigated using finite element techniques. Included in the investigation are rectangular, homogeneous and isotropic flat plates of constant thickness. Plates, with and without damping, and plates on an elastic foundation, with and without damping, are considered. The governing matrix equations for an idealized system of rectangular plate elements are developed using the Lagrangian equation. This is equivalent to the direct stiffness approach. Several examples are solved and the results are illustrated on a series of charts and figures. No presupposition of similarity between vibration and static buckling modes is made. Accordingly, it is possible to define the regions of dynamic instability in relation to any of the frequencies of transverse free vibration. In the special cases of similar vibration and static buckling modes, the results obtained check favorably with the previous work.
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Published In
Journal of the Engineering Mechanics Division
Volume 97 • Issue 3 • June 1971
Pages: 879 - 899
Copyright
© 1971 American Society of Civil Engineers.
History
Published in print: Jun 1971
Published online: Feb 3, 2021
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Authors
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Johnny M. Hutt, AM.ASCE
Asst. Prof. of Engrg. Mechanics, Univ. of Alabama, University, Ala
Ahmed E. Salam
NASA Res. Assoc., Jet Propulsion Lab., Pasadena, Calif.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.