Dynamic investigation of functionally graded porous beams resting on viscoelastic foundation using generalised differential quadrature method

ABSTRACT

In this article, dynamic analysis of viscoelastic beam, which is made of porous functionally graded materials (FGM), is investigated by using the generalised differential quadrature method (GDQM). The material properties for FG beam are supposed to be graded in the thickness direction by two types of porosities and estimated using a modified power-law form. The surrounding visco-Pasternak foundation is made of viscous layer symbolised by dashpots, parallel springs and a shear layer. The governing equations achieved by Hamilton’s principle are solved implementing GDQM. Afterwards, the effects of types of porosity distribution and its pattern, foundation type, power-law index, slenderness ratio, structural damping coefficient and boundary conditions on the damping frequency of the present viscoelastic FG beams are explored.

KEYWORDS:

• FGM
• beam
• porosity
• free vibration
• viscoelastic foundation
• generalised differential quadrature method (GDQM)

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statement

The authors declare that the data are available within the article.

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.

Additional information

Notes on contributors

Ismail Bensaid

Ismail Bensaid received his B.Sc, M.Sc and Ph.D degrees in Mechanical Engineering from Abou Beckr Belkaid University Tlemcen, Algeria. He is currently working at Mechanical engineering department at the same University. His research interests are Mechanical and structural Engineering analyses, Materials, Composite, Maintenance, Nanostructures and Dynamical Systems. He, as an author/co-author, in several research articles published in various journals.

Ahmed Saimi

Ahmed Saimi obtained his Ph.D in Mechanics of Materials and Structures from the University of Tlemcen, Algeria, in 2017. He is currently a Senior Lecturer at the National High School of Hydraulics Blida, Algeria. A researcher member of Mechanical Systems and Structural Engineering Laboratory, IS2M/UABT. His research interests are: Finite element methods, Structural vibration, Structural dynamics, Dynamics of rotors, Dynamics of rotating machines, computational mechanics, FG materials, Composite materials.