INTERNATIONAL CONGRESS ON RECENT ADVANCES IN SCIENCES AND TECHNOLOGY - Kuala Lumpur - Malaysia (2019-02-20)

Free Vibration Analysis of Functionally Graded Rectangular Plate with Square Perforations
In the present work, an analytical model for free vibration analysis of multi-perforated rectangular plates made of functionally graded material (FGM) is proposed. The first five natural frequencies are found and the effect of variation of three important parameters - power law index, size of perforations and aspect ratio on the analysis is studied. The results for mild steel plates with perforations and FGM plates without perforations are compared with existing literature to validate our results. FGMs are characterized by changing their material properties across volume. The change can be in many properties like mechanical, chemical, magnetic etc. because of varying their composition, structure or porosity. These materials were first used in 1984 in Japan[1] in a space project where they could withstand huge temperature change across a thin area. FGMs are generally metal-ceramic composites and the material properties vary across the thickness direction according to various mathematical patterns like power law, exponential law and sigmoid law [2]. The metal part of the composite prevents fracture due to stress whereas the ceramic component provides thermal resistance due to its low thermal conductivity. FGMs have already found their application in various fields such as automobile, aerospace, defense, armory and even dental. Perforated plates are used today across various industries. They have found to be effective in acoustic panels, agriculture industry, for filtration, heat exchangers and as machine and air conditioner guards. All the stated applications extensively involve vibration of these plates. Hence, it becomes imperative to study the free vibration of these plates. Ghonasgi et al. [3] performed free vibration analysis on rectangular plates made of mild steel comprising three perforations patterns – rectangular pattern, 45° staggered pattern and 60° staggered pattern. Analytical models to simulate perforated plates were formed using the Heaviside function by Mali et al. [4]. Pradhan [5] studied the free vibration frequencies of FGM plates and compared it with existing literature. In this study, we have performed the free vibration analysis of multi-perforated rectangular plate made of FGM. The boundary condition used is clamped on all sides and the parameters that have been varied are aspect ratio, size of perforations and power law index of the exponential distribution used for FGM.
Mr. AKSHAY CHUGH, Mr. YASH HARITWAL, Dr. Kiran Mali