FEM modelling of the time-harmonic dynamical stress field problem for a pre-stressed plate-strip resting on a rigid foundation |
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| Authors: | SD Akbarov A Yildiz M Eröz |
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| Institution: | 1. Department of Mathematical Engineering, Faculty of Chemistry and Metallurgy, Yildiz Technical University, Davutpasa Campus No. 127, Topcapi 34010, Istanbul, Turkey;2. Institute of Mathematics and Mechanics of National Academy of Sciences of Azerbaijan, Baku, Azerbaijan;3. Department of Mathematics, Faculty of Arts and Sciences, Esentepe Campus, Sakarya University, 54187 Sakarya, Turkey |
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| Abstract: | In this paper, the FEM modelling of the time-harmonic dynamical stress field problem for the pre-stressed plate-strip with finite length resting on a rigid foundation is developed. The mathematical formulation of the considered problem is made by the use of the equations and relations of the Three-dimensional Linearized Theory of Elastic Waves in Initially Stressed Bodies. The proposed modelling is tested on the concrete problems as an example. The numerical results testing the validity of the developed FEM modelling are presented. Moreover, the numerical results attained for the various values of the problem parameters are also presented. |
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| Keywords: | Plate Elastodynamics equations Initial stress Time-harmonic load Forced vibration Finite element method |
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