On a New Method of Quasi-static and Dynamic Analysis of Viscoelastic Plate on Elastic Foundation

Yıl 2023, , 81 - 98, 01.11.2023

Gülçin Tekin , Fethi Kadıoğlu

https://doi.org/10.18400/tjce.1268992

Öz

In the present work, an alternative solution technique based on mixed finite element (MFE) formulation in the Laplace-Carson domain is proposed for quasi-static and dynamic analyses of viscoelastic plate (VEP) resting on an elastic foundation (EF). This work contributed a numerical solution to the problem of a viscoelastic Kirchhoff plate supported on a Winkler foundation. VEP-EF interaction problems are taken into account under different wave-type loadings. The viscoelastic material behavior of the plate is modeled by the Zener rheological solid model. A four-nodded linear isoparametric element containing sixteen degrees of freedom is used to model the VEP. Developed functional in the Laplace-Carson domain based on the Gâteaux differential method is transformed to the real time domain by utilizing the Dubner and Abate (D&A) inverse Laplace transform technique (ILTT). To evaluate the applicability of the results, five numerical samples are considered. Further analyzes are performed on different wave type loadings to offer a new perspective on the time-dependent behavior of VEP on EF.

Anahtar Kelimeler

Viskoelastik Plak, Plak-Zemin Etkileşimi, Dalga Tipi Yükler, Gâteaux diferansiyel, Laplace-Carson Dönüşümü, Dubner&Abate

Kaynakça

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