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# 3D Analysis of the Forced Vibration of a Prestressed Rectangular Composite Plate With Two Neighboring Cylindrical Cavities

S.D. Akbarov1,2, N. Yahnioglu3, U. Babuscu Yesil3
Yildiz Technical University, Faculty of Mechanical Engineering, Department of Mechanical Engineering, Yildiz Campus, 34349, Besiktas, Istanbul-Turkey.
Institute of Mathematics and Mechanics of National Academy of Sciences of Azerbaijan, 37041, Baku- Azerbaijan
Yildiz Technical University, Faculty of Chemistry and Metallurgy, Department of Mathematical Engineering, Davutpasa Campus, 34210, Istanbul-Turkey.

Computers, Materials & Continua 2012, 28(2), 147-164. https://doi.org/10.3970/cmc.2012.028.147

### Abstract

This paper presents an analysis of the forced vibration of an initially stressed rectangular composite plate containing two neighboring cylindrical cavities. The initial stresses are caused by stretching or compressing of the plate with uniformly distributed normal static forces acting on the two opposite end-planes which are parallel to the central axes of the aforementioned cylindrical cavities. The influence of the initial stresses on the stress concentration around the cavities caused by the additional uniformly distributed time harmonic forces acting on the upper face plane of the plate are given. The considered problem is formulated within the framework of the Three-Dimensional Linearized Theory of Elastic Waves in Initially Stressed Bodies. For the solution to this problem 3D FEM is employed. The numerical results on the influence of the initial stresses on the stress concentration around the cavities, as well as on the fundamental frequencies of the plate are presented and discussed.

### Keywords

Initial stress, forced vibration, cylindrical cavity, 3D FEM, rectangular plate, composite

S. . Akbarov, N. . Yahnioglu and U. B. . Yesil, "3d analysis of the forced vibration of a prestressed rectangular composite plate with two neighboring cylindrical cavities," Computers, Materials & Continua, vol. 28, no.2, pp. 147–164, 2012.

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