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Journals / Turkish Journal of Civil Engineering / 2023 / Cilt: 34 Sayı: 6

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

Gülçin TEKİN
Fethi KADIOĞLU
Pages
81–98
Publication Date
2023-11-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Further analyzes are performed on different wave type loadings to offer a new perspective on the time-dependent behavior of VEP on EF.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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).
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Key Findings & Data:This work contributed a numerical solution to the problem of a viscoelastic Kirchhoff plate supported on a Winkler foundation.
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Conclusion & Impact:Further analyzes are performed on different wave type loadings to offer a new perspective on the time-dependent behavior of VEP on EF.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Viskoelastik Plak · Plak-Zemin Etkileşimi · Dalga Tipi Yükler

Abstract

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.

Özet

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.

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Cite This Article

TEKİN, G., KADIOĞLU, F. (2023). On a New Method of Quasi-static and Dynamic Analysis of Viscoelastic Plate on Elastic Foundation. Turkish Journal of Civil Engineering, Cilt: 34 Sayı: 6, 81–98. https://ajindex.com/articles/970621

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