The dynamic instability of FG orthotropic conical shells within the SDT

Abdullah H. Sofiyev , Zihni Zerin , Bilender P. Allahverdiev , David Hui , Ferruh Turan , Hakan Erdem

Abstract

The dynamic instability of truncated conical shells subjected to dynamic axial load within first order shear deformation theory (FSDT) is examined. The conical shell is made from functionally graded (FG) orthotropic material. In the formulation of problem a dynamic version of Donnell\'s shell theory is used. The equations are converted to a Mathieu-Hill type differential equation employing Galerkin\'s method. The boundaries of main instability zones are found applying the method proposed by Bolotin. To verify these results, the results of other studies in the literature were compared. The influences of material gradient, orthotropy, as well as changing the geometric dimensions on the borders of the main areas of the instability are investigated.

Key Words

material gradient; orthotropic material; conical shells; dynamic instability; main instability zones; FSDT

Address

Abdullah H. Sofiyev — Department of Civil Engineering, Faculty of Engineering, Suleyman Demirel University, Isparta, Turkey
Zihni Zerin and Ferruh Turan — Department of Civil Engineering, Faculty of Engineering, Ondokuz Mayis University, Samsun, Turkey
Bilender P. Allahverdiev — Department of Mathematics, Faculty of Arts and Sciences, Suleyman Demirel University, Isparta, Turkey
David Hui — Department of Mechanical Engineering, University of New Orleans, New Orleans, Louisiana, USA
Hakan Erdem — Department of Civil Engineering, Faculty of Engineering, Omer Halisdemir University, Nigde, Turkey

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