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

Tekin G., Kadıoğlu F.

Turkish Journal of Civil Engineering, cilt.34, sa.6, ss.81-98, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 6
  • Basım Tarihi: 2023
  • Doi Numarası: 10.18400/tjce.1268992
  • Dergi Adı: Turkish Journal of Civil Engineering
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.81-98
  • Anahtar Kelimeler: Dubner & Abate, Gâteaux differential, Laplace-Carson transform, plate-foundation interaction, Viscoelastic plate, wave-type loadings
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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 contributes 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 with sixteen degrees of freedom is used to model the VEP. The functional developed 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.