A Complete Numerical Study of Plate Free Vibration Analysis

Abstract

Boilers, cars, ships, and airplanes all make extensive use of plates. It is essential to look at the vibration characteristics of the plates in order to avoid resonance under their operating conditions. Because catastrophic failure results from violent vibrations under resonance conditions. Thus, it is essential to analyze plate vibration in order to prevent these resonance conditions. In this article, the modal frequencies and modes of the plates were numerically analyzed using ANSYS. It is believed that structural steel was used to make the plates. The boundary conditions of all edges clamped (CCCC) and all edges free (FFFF) were considered in the study. The effects of aspect ratio, plate thickness, area, and shape on natural frequency were examined.

The influence of the plate's shape is investigated by considering various shapes, including squares, circles, equilateral triangles, and right angular triangles with the same area. It has been observed that the natural frequency rises with increasing thickness and aspect ratio. As surface area increases, the natural frequency decreases. In the order of square, right-angled, equilateral, and circular shapes, the natural frequency values of the plates decrease for all free edges. In contrast, the natural frequency values of the plates rise in the order of square, equilateral, circular, and right-angled triangular shapes for all edge fixed conditions