Large Amplitude Free Vibration Analysis of Thin Rectangular Plates: Simple Closed-form Solutions
Large amplitude free vibration behavior of thin, isotropic rectangular plate configurations are expressed in the form of simple closed-form solutions by using an application of the Ritz method based on coupled displacement fields. Influence of plate aspect ratio (a/b) and Poisson ratio (v) o...
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2013-06-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2012-0012 |
| Summary: | Large amplitude free vibration behavior of thin,
isotropic rectangular plate configurations are expressed in
the form of simple closed-form solutions by using an application
of the Ritz method based on coupled displacement
fields. Influence of plate aspect ratio (a/b) and Poisson ratio (v) on the behavior of back-bone curves is briefly discussed
for various boundary configurations of the rectangular plate.
Proposed closed-form solutions are corrected for the simple
harmonic motion (SHM) assumption using the well established
harmonic balance method which is applicable for the
homogeneous form of cubic non-linear Duffing equation. |
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| ISSN: | 2192-8010 2192-8029 |