Politeknik Dergisi 2147-9429 Gazi University 10.2339/politeknik.650808 Engineering Mühendislik Frequency Response of an Initially Stressed Slab Made from Three Compressible Materials Frequency Response of an Initially Stressed Slab Made from Three Compressible Materials https://orcid.org/0000-0001-8352-2020 Daşdemir Ahmet KASTAMONU UNIVERSITY 03 01 2021 24 1 275 282 11 25 2019 03 19 2020 Copyright © 1998, Journal of Polytechnic 1998 Journal of Polytechnic

In this study, the frequency response of a pre-stressed slab, which stands on a rigid foundation, subject to a timely harmonic loading was considered. The investigation is implemented according to the piecewise homogeneous body model utilizing the three-dimensional linearized theory of elastic waves in initially stressed bodies (TLTEWISB). The considered body was designed joining to three discrete slabs side-by-side. It was assumed that there exists a rigidly clamping state at all interface planes on the system. A mathematical model of the problem is constructed and the system related to equations of motion is numerically solved using the finite element method (FEM). Particularly, the effect the ratio of the layer length has on the frequency response of the slab was presented.

In this study, the frequency response of a pre-stressed slab, which stands on a rigid foundation, subject to a timely harmonic loading was considered. The investigation is implemented according to the piecewise homogeneous body model utilizing the three-dimensional linearized theory of elastic waves in initially stressed bodies (TLTEWISB). The considered body was designed joining to three discrete slabs side-by-side. It was assumed that there exists a rigidly clamping state at all interface planes on the system. A mathematical model of the problem is constructed and the system related to equations of motion is numerically solved using the finite element method (FEM). Particularly, the effect the ratio of the layer length has on the frequency response of the slab was presented.

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