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Free And Forced Vibrations of a Post-Buckled Delaminated Beam-Plate Resting on a Two Parameter Elastic Foundation

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Bichir S. , Esmaeel R. A. , Nassar M. M.

2005

tom Vol. 9, nr 2

207--222

In this study, the free and forced vibrations of a delaminated beam-plate resting on a two-parameter (Pasternak type) elastic foundation are investigated. We consider a homogeneous isotropic clamped beam-plate compressed axially and subject to an external time dependent force. In order to study the vibration of the delaminated beam-plate relative to a post-buckled state we should solve the static deformations. This has been accomplished by the successive substitution method.The free and forced vibration analysis are then performed. Results are represented in both graphical and tabulated forms and shows that the natural frequencies are affected by the change in the delamination length, depth and location and also affected by the change in the elastic foundation parameters.

On minimum variance unbiased estimation of a reliability system

100%

El Sayed H. S. , Nassar M. M. , Shawky A. I.

tom Vol. 46, nr 3

375-381

This paper investigates the minimum variance unbiased estimation (MVUE) of the reliability function R = P(Y < X) under the assumption that, both, the strength X and the stress Y are independent Gamma random variables. An approximate one- and two-sided confidence intervals for R is obtained. Some numerical results are evaluated for particular sample sizes. Also the MVUE results of this paper are compared with the results obtained by Tong [7].