Free Vibration Analysis of Sandwich Beams with FG Face Sheets Based on the High Order Sandwich Beam Theory

الموضوعات :

Mohsen Rahmani ¹ , Sajjad Dehghanpour ² , Ali Barootiha ³

1 - Department of Mechanics, Tuyserkan Branch, Islamic Azad University, Tuyserkan, Iran
2 - Department of Mechanics, Tuyserkan Branch, Islamic Azad University, Tuyserkan, Iran
3 - Department of Mechanical Engineering, Takestan Branch, Islamic Azad University, Takestan, Iran

تاريخ الإرسال : 06 الأربعاء , رمضان, 1441 تاريخ التأكيد : 28 الأحد , ذو القعدة, 1441 تاريخ الإصدار : 08 الجمعة , رمضان, 1441

الکلمات المفتاحية: Vibration, FGM, Sandwich beam, Galerkin, High order sandwich beam theory,

ملخص المقالة :

In this paper, the vibration behavior of the sandwich beams with functionally graded face-sheets is investigated based on the high order sandwich beam theory.The properties of the FGM are varied gradually across the thickness of the structures in accordant with the power-law rule. First-order shear deformation theory and polynomial patterns are used to model the displacements of the face-sheets and the core, respectively. The governing equations of the motion are obtained based on Hamilton’s energy principle and solved by a Galerkin method. An algebraic method is used to reduce the number of equations. Boundary conditions are considered as simply supported and clamped.The effect of the power-law index and geometrical variations are surveyed on the fundamental frequency parameter for different sandwich beams in some numerical examples. In order to verify the results of the present study, they are compared with special cases of the literature.

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