MATEC Web Conf.
Volume 286, 201914th Congress of Mechanics (CMM2019)
|Number of page(s)||3|
|Section||Solid and Composite Materials|
|Published online||14 August 2019|
Non-Linear Forced Vibration of Fully Clamped FGM Skew Plates using Homogenization Technique
Université Mohammed V Ecole Mohammadia D’ingénieurs, Avenue Ibn Sina, B.P.765, Agdal, Rabat, Morocco
2 Université Mohammed V Ecole Mohammadia D’ingénieurs, Avenue Ibn Sina, B.P.765, Agdal, Rabat, Morocco
The present work concerns the geometrically non-linear forced vibration of fully clamped functionally graded skew plates (FGSP). The theoretical model based on Hamilton’s principle and spectral analysis previously applied to obtain the non-linear mode shapes of thin straight structures is used. A homogenization technique is developed to reduce the FGSP problem under consideration to that of an equivalent isotropic homogeneous skew plate. Results are given for the linear and non-linear fundamental frequency of fully clamped FGSP, considering different parameters, such as the skew angle, the excitation force level. The results show a non linearity of the hardening type with a shift to the right of the bent non linear frequency response function, in the neighbourhood of the fundamental mode.
Key words: linear vibrations / FGM skew plate / Homogenization technique / Forced vibration.
© The Authors, published by EDP Sciences, 2019
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