2003
DOI: 10.1260/136943303769013228
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Buckling and Vibration of Stiffened Panels or Single Plates with Clamped Ends

Abstract: An efficient method for the buckling and vibration analysis of plates or stiffened panels with clamped ends is presented. The method uses Lagrangian multipliers to couple sinusoidal modes with appropriate half-wavelengths of response, thereby enforcing the end conditions at discrete point supports. Clamped ends can usually be modelled accurately using only a few point supports, while arguments from symmetry often enable some of the required end conditions to be satisfied without explicitly applying constraints… Show more

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Cited by 5 publications
(5 citation statements)
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“…The plate was clamped along its loaded edges by restricting out-of-plane displacement and rotation. In order to speed up the process due to the large number of analyses required, this was achieved using a small number of point supports and a small number of wavelengths to represent the mode [32]. The remaining edges were simply supported by restricting out-of-plane displacement.…”
Section: Discussionmentioning
confidence: 99%
“…The plate was clamped along its loaded edges by restricting out-of-plane displacement and rotation. In order to speed up the process due to the large number of analyses required, this was achieved using a small number of point supports and a small number of wavelengths to represent the mode [32]. The remaining edges were simply supported by restricting out-of-plane displacement.…”
Section: Discussionmentioning
confidence: 99%
“…The plate was clamped along its loaded edges by restricting out-of-plane displacement and rotation. In order to speed up the process due to the large number of analyses required, this was achieved using a small number of point supports and a small number of wavelengths to represent the mode (Watson et al [9]). The remaining edges were simply supported by restricting out-of-plane displacement.…”
Section: Vicon Analysismentioning
confidence: 99%
“…In order to speed up the process due to the large number of analyses required, a small number of point supports were used to represent the line support and a small number of wavelengths were used to represent the mode (Watson et al [9]). The remaining edges were simply supported by restricting out-of-plane displacement.…”
Section: Figurementioning
confidence: 99%
“…Later, in a different context, Langley [27] took the in-plane motion into consideration, and analyzed the dynamic response of stiffened shell structure. Watson et al [28] used Lagrangian multipliers to model point supports of Levy-type plates based on exact strip method, and thus they performed vibration and buckling analysis of stiffened panels. Yin et al [29] proposed a dynamic stiffness model for eccentrically beam-stiffened plates.…”
Section: Introductionmentioning
confidence: 99%