2010Unpublished venueRequires access

Calculating the frequency modes of flexible square plate using Finite Element and Finite Difference Methods

M. R. Safizadeh, Intan Zaurah Mat Darus, Musa Mailah

Open publisher page 5 citations

Abstract

The paper presents the natural frequencies and mode shapes of a clamped square flexible plate based on the Finite Difference (FD) and Finite Element (FE) methods. Finite Difference Method is implemented using MATLAB software whereas the Finite Element Method is implemented using ABAQUS software and the results are compared with the available analytical results. It is found that the improved Finite Difference program's results are so close to analytical results when compared to Finite elements method results.

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What this paper is about

The paper presents the natural frequencies and mode shapes of a clamped square flexible plate based on the Finite Difference (FD) and Finite Element (FE) methods. Finite Difference Method is implemented using MATLAB software whereas the Finite Element Method is implemented using ABAQUS software and the results are compared with the available analytical results. It is found that the improved Finite Difference program's results are so close to analytical results when compared to Finite elements method results.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The paper presents the natural frequencies and mode shapes of a clamped square flexible plate based on the Finite Difference (FD) and Finite Element (FE) methods. Finite Difference Method is implemented using MATLAB software whereas the Finite Element Method is implemented using ABAQUS software and the results are compared with the available analytical results. It is found that the improved Finite Difference program's results are so close to analytical results when compared to Finite elements method results.

Key concepts: Finite element method, Finite difference coefficient, Finite difference method, Square (algebra), MATLAB, Software, Finite difference, Mixed finite element method

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