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A Coupled Improved Element Free Galerkin-Finite Strip (IEFG-FS) Method for Free Vibration Analysis of Plate

Hamed Mousavi

Department of Civil Engineering, Isfahan University of Technology, Isfahan 84156–83111, Iran

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Mojtaba Azhari

Department of Civil Engineering, Isfahan University of Technology, Isfahan 84156–83111, Iran

E-mail Address: mojtaba@cc.iut.ac.ir

Corresponding author.

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Mohammad Mehdi Saadatpour

Department of Civil Engineering, Isfahan University of Technology, Isfahan 84156–83111, Iran

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, and

Saeid Sarrami-Foroushani

Department of Civil Engineering, Isfahan University of Technology, Isfahan 84156–83111, Iran

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https://doi.org/10.1142/S1758825119501035Cited by:7 (Source: Crossref)

Abstract

In this paper, a coupling of improved element-free Galerkin (IEFG) method and semi-analytical finite strip (FS) method is presented for free vibration analysis of thin plates. This method is very easy to implement and has advantages of both IEFG and FS methods, so that IEFG method is used in sub-domain with complex geometry, and FS method is used for the remaining domains. The use of the FS method considerably reduces the analysis time, and the essential boundary conditions are easily enforced in FS sub-domain. In the IEFG method, the shape function does not have the Kronecker delta function property. Therefore, Lagrange multipliers method is used to satisfy the boundary conditions. Finally, five examples are presented to show the effectiveness of this work.

Keywords:

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