Trigonometric solution for an exponentially graded thick plate resting on elastic foundations

• Autorzy: Zenkour A. M.

Identyfikatory

DOI

10.24425/123020

• Języki publikacji: EN

Abstrakty

EN

This article investigates the solution of exponentially graded (EG) thick rectangular plates resting on two-parameter elastic foundations according to a trigonometric plate theory (TPT). This theory includes the effect of both shear and normal strains thickness without needing to any shear correction factor. The displacement fields contains initial terms of a power series across plate thickness as well as additional trigonometric terms. The material properties of plate is graded such that Lamé’s coefficients convert exponentially in a given constant orientation.Equilibrium equations according to the EG plate resting on Pasternak’s foundations are derived. The solution is obtained by using Navier’s technique. Numerical results for the EG thick plate on elastic foundations are presented, and compared with those available in the literature. The influences of Winkler’s and Pasternak’s parameters, side-to-thickness ratio, inhomogeneity parameter and aspect ratio on the bending responses of EG plates are investigated.

Słowa kluczowe

EN

trigonometric plate theory TPT; exponentially graded plate; elastic foundation

PL

teoria tablic trygonometrycznych TPT; płyta EG; podstawa elastyczna

• Wydawca: Komitet Budowy Maszyn PAN
• Czasopismo: Archive of Mechanical Engineering
• Rocznik: 2018
• Tom: Vol. LXV, nr 2
• Strony: 193--208
• Opis fizyczny: Bibliogr. 31 poz., rys., tab.

Twórcy

autor

Zenkour A. M.

• Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, SaudiArabia
• Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt

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