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...
| Main Author: | |
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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 |
| _version_ | 1818585609707454464 |
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| author | Gunda Jagadish Babu |
| author_facet | Gunda Jagadish Babu |
| author_sort | Gunda Jagadish Babu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-16T08:39:48Z |
| format | Article |
| id | doaj.art-292bd243cca2426d96ea6f0a32730cfa |
| institution | Directory Open Access Journal |
| issn | 2192-8010 2192-8029 |
| language | English |
| last_indexed | 2024-12-16T08:39:48Z |
| publishDate | 2013-06-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-292bd243cca2426d96ea6f0a32730cfa2022-12-21T22:37:43ZengDe GruyterNonlinear Engineering2192-80102192-80292013-06-0121-2112010.1515/nleng-2012-0012Large Amplitude Free Vibration Analysis of Thin Rectangular Plates: Simple Closed-form SolutionsGunda Jagadish Babu0Advanced Systems Laboratory, Kanchanbagh, Hyderabad 500058, India 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.https://doi.org/10.1515/nleng-2012-0012large amplitude free vibratiothin rectangular platesritz methodclosed-form solutionscoupled displacement fieldsvon-kármán type of geometric nonlinearitynon-linear frequency |
| spellingShingle | Gunda Jagadish Babu Large Amplitude Free Vibration Analysis of Thin Rectangular Plates: Simple Closed-form Solutions Nonlinear Engineering large amplitude free vibratio thin rectangular plates ritz method closed-form solutions coupled displacement fields von-kármán type of geometric nonlinearity non-linear frequency |
| title | Large Amplitude Free Vibration Analysis of Thin Rectangular
Plates: Simple Closed-form Solutions |
| title_full | Large Amplitude Free Vibration Analysis of Thin Rectangular
Plates: Simple Closed-form Solutions |
| title_fullStr | Large Amplitude Free Vibration Analysis of Thin Rectangular
Plates: Simple Closed-form Solutions |
| title_full_unstemmed | Large Amplitude Free Vibration Analysis of Thin Rectangular
Plates: Simple Closed-form Solutions |
| title_short | Large Amplitude Free Vibration Analysis of Thin Rectangular
Plates: Simple Closed-form Solutions |
| title_sort | large amplitude free vibration analysis of thin rectangular plates simple closed form solutions |
| topic | large amplitude free vibratio thin rectangular plates ritz method closed-form solutions coupled displacement fields von-kármán type of geometric nonlinearity non-linear frequency |
| url | https://doi.org/10.1515/nleng-2012-0012 |
| work_keys_str_mv | AT gundajagadishbabu largeamplitudefreevibrationanalysisofthinrectangularplatessimpleclosedformsolutions |