Geometrically Non-Linear Free Vibration of Fully Clamped FGM Skew Plates Using Homogenization Technique

Abstract:

The present work concerns the geometrically non-linear free vibration of fully clamped functionally graded skew plates (FGSP). The theoretical model based on Hamilton’s principle and spectral analysis is used. A homogenization technique has been developed to reduce the FGSP problem under consideration to that of an isotropic homogeneous skew plate. The material properties of the skew plate examined herein are assumed to be graded in the thickness direction of the plate according to the power-law distribution in terms of volume fractions of the constituents. Results are given for the linear and non-linear fundamental frequency considering different parameters. The non-linear mode shapes exhibit a maximum value in the bending stress at the centre of the plate. It is found also that the non-linear frequencies increase with increasing the amplitude of vibration and increasing the skew angle, which corresponds to the hardening type effect. A good agreement is found with published results.

• Periodical: Advanced Materials Research (Volume 1105)
• Pages: 370-380
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1105.370
• Online since: May 2015
• Authors: Moulay Abdelali Hanane*, Khalid El Bikri, Benamar Rhali
• Keywords: FGM Skew Plate, Homogenization Technique, Non-Linear Vibrations

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