Finite element method is used to study the free vibration analysis of functionally graded skew plates. The material properties of the skew plates are assumed to vary continuously through their thickness according to a power-law distribution of the volume fractions of the plate constituents. | Free vibration analysis of moderately thick functionally graded skew plates Engineering Solid Mechanics 2 2014 229-238 Contents lists available at GrowingScience Engineering Solid Mechanics homepage esm Free vibration analysis of moderately thick functionally graded skew plates Jyoti Vimala R K Srivastavaa A D Bhatta and Avadesh K Sharmab a Department of Mechanical Engineering Motilal Nehru National Institute of Technology Allahabad India b Department of Mechanical Engineering Madhav Institute of Technology amp Science Gwalior India ARTICLE INFO ABSTRACT Article history Finite element method is used to study the free vibration analysis of functionally graded skew Received January 29 2014 plates. The material properties of the skew plates are assumed to vary continuously through Received in Revised form their thickness according to a power-law distribution of the volume fractions of the plate April 14 2014 constituents. The first order shear deformation theory is used to incorporate the effects of Accepted 8 April 2014 Available online transverse shear deformation and rotary inertia. Convergence study with respect to the number 10 April 2014 of nodes has been carried out and the results are compared with those from past investigations Keywords available in the literature. Two types of functionally graded skew plates - Al ZrO2 and Functionally graded materials Al Al2O3 are considered in this study and the effects of the volume fraction different external Free vibration boundary conditions and thickness ratio on the natural frequencies are studied in detail. Skew plates 2014 Growing Science Ltd. All rights reserved. 1. Introduction Functionally graded materials are a class of composites that have continuous variation of material properties from one surface to another and thus eliminate the stress concentration found in laminated composites. A typical functionally graded material is made from a mixture of ceramic and metal. These materials are
