What is it about?

In this study, the free vibration of clamped functionally graded plates that were constructed with three distinct thicknesses in a stepwise manner is studied. The variation in material properties throughout the thickness of the plate conforms to a power law distribution. The plate is composed of a mixture of coal and polyester resin, with a gradient that varies from 0wt% to 20wt%, increasing in increments of 5wt%. The objective is to investigate the effect of altering thickness on the natural frequencies. The validity of the experimental solutions was verified by the utilization of the finite element technique (FEM) with the ANSYS 2022 R1 software. The results reveal that the frequency of the plate increases with the increase of the thickness of the plate and the number of limitations in the boundary conditions. Nevertheless, the power index has an effectiveness on vibration qualities, with an observed decrease in natural frequency as the gradient index increases. An accepted agreement can be observed between the experimental results and numerical results with a maximum error discrepancy of 6.4%.

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Why is it important?

To understand the mechanical analysis of the functionally graded plate

Perspectives

Writing this article is a great pleasure for me. It is very important for all engineers, as studying vibration characteristics is important to understand the problems that occur in most engineering designs due to vibrations.

Sanaa Samir

Read the Original

This page is a summary of: Free vibration analysis of polyester resin-coal functionally graded plates, January 2024, American Institute of Physics,
DOI: 10.1063/5.0237163.
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