This paper presents the harmonic and vibration analysis of functionally graded plates using the finite element method. Initially, the plates are assumed isotropic and the material properties of it are assumed to vary continuously through their thickness direction according to a power-law distribution of the volume fractions of the plate constituents. The four noded shell element is used to analyse the functionally graded plates. Four functionally graded plates-Al/Al2O3, Al/ZrO2, Ti–6Al–4V/Aluminium oxide, and SUS304/Si3N4 are considered in the study, and their results are obtained so that the right choice can be made in applications in high temperature environment and in reducing the vibration amplitudes in applications such as aircrafts, rockets, missiles, etc. Numerical results for the natural frequency and harmonic response amplitude are presented. Results are compared and validated with available results in the literature. Effects of boundary conditions, material and damping on natural frequency and harmonic response of the functionally graded plates are also investigated.

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In this paper, harmonic behaviour of laminated composite skew plates is presented with a symmetric and anti-symmetric arrangement of layers. The convergence and validity of the model have been checked by comparing different type of example available in published literature. From the comparison study, it can be easily observed that proposed model is being capable of solving the skew structures with adequate accuracy. The effects of various skew angles, lamination scheme and number of layers have been demonstrated. The results show the maximum variation in the non-dimensional fundamental frequency is limited to 3% for a symmetrically laminated skew plate. It is clear from the results that the maximum resonance amplitude occurs at the first fundamental mode of vibration at different skew angle. Finite element package ANSYS is employed for analysis of the plates. The SHELL281 element is chosen to mesh the model.