Free vibration analysis of rectangular plates with cracked holes
Mohsin Abdullah Al-Shammari, Marwah Ali Husain, Muhannad Al‐Waily
Abstract
The present paper deals with the influence of the circular aperture located at the center, and the cracks arise from its circumference on the free vibration characteristics of a rectangular plate. The work has been conducted experimentally and numerically. The presence of holes and cracks in a rectangular plate significantly changes the structure’s natural frequencies and mode shapes. Understanding the effects associated with the flight control process when the mechanical design of the structure is essential. The experimental method for determining typical properties of a plate with a central circular aperture and multiple slits was verified by finite element analysis (FEA) using ANSYS Mechanical APDL ver. 15. Factors affecting the free vibration were studied, including plate geometry, hole radius, crack length, crack number, and boundary conditions (all edges are clamped, and all edges are simply-supported). The obtained results showed that the fundamental natural frequency is increased with increasing the hole diameter and decreased with increasing the circumferential crack diameter. The achieved results showed a maximum discrepancy of 3.5% between the numerical and experimental results. Therefore, the relationship between vibration patterns and parameter variables was clarified. Thus, these results were used as a guide to analyze patterns and detect the damage associated with the rectangular plate with holes and cracks.