论文信息 - Calculating the frequency modes of flexible square plate using Finite Element and Finite Difference Methods

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

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.

M. R. Safizadeh | I. Z. Mat Darus | M. Mailah

[1] Sinniah Ilanko,et al. Bounded natural frequencies of completely free rectangular plates , 2008 .

[2] Berk Geveci,et al. Nonlinear resonance of rectangular plates , 2001, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[3] L. W.,et al. The Theory of Sound , 1898, Nature.

[4] Arthur W. Leissa,et al. Vibration of Plates , 2021, Solid Acoustic Waves and Vibration.

[5] M. Géradin,et al. Mechanical Vibrations: Theory and Application to Structural Dynamics , 1994 .

[6] M. O. Tokhi,et al. Finite Difference Simulation of a Flexible Plate Structure , 2004 .

[7] D. J. Gorman,et al. Free Vibration Analysis of Rectangular Plates , 1982 .

[8] M. Petyt,et al. Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method—I: The fundamental mode of isotropic plates , 1997 .