On the dynamics of plates using a beam-analog

Mohsin, M. Ezzat; Sadek, Edward A.

doi:10.1016/0045-7949(80)90025-5

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Dynamic Analysis Using Beam-column Analogy1

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2007

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Cited by 2 publications

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“…The grillage used is of 8 × 8 mesh size and thus the statically equivalent nodal forces are 237 N / mesh. Table 2 gives comparison of the results obtained using the grillage method and those obtained by Mohsin and Sadek (13) and the exact solution given in the same reference from a research done by Leissa (16) , for the first five natural frequencies (cps) of the plate. It is clear from Table 3 that the results obtained using the grillage method are very close to the exact values obtained by using the series solution.…”

Section: Examplementioning

confidence: 99%

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Grillage Analysis of Plates for Vibration and Stability

Al-Sarraf,

Ali

2007

ETJ

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This study deals with the problem of approximating the dynamic and static analysis of plates by using equivalent grid-framework model. The emphasis, for plate analysis, is on the stability and vibration analysis. Numerical results are presented for many example problems, and they indicate that the adopted method is reasonably accurate. For vibration analysis of plates using beam-column analogy the percentage of error is depends on mesh size.

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Section: Examplementioning

confidence: 99%

“…If each side member of the beam-analog element is assumed to be of constant mass per unit length, thus for an element of dimensions l and kl, Fig. 3, the mass per unit length of the member of length l can be written as (13)…”

Section: Dynamic Analysis Using Beam-column Analogymentioning

confidence: 99%