Finite Element Analysis of Vibration modes in Notched Aluminum Plate


Mohammed Y. Abdellah†,‡*, Hamzah Alharthi‡, Esraa Husein†,‡†, Abdalla Abdal-hay†,‡‡ and G.T. Abdel-Jaber†


† Mechanical Engineering Department, Faculty of Engineering, South Valley University, Qena, 83523, Egypt
‡Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University Makkah, KSA.
‡†El-yousr station for water desalination, Hurghada, Red Sea, Egypt
‡‡School of Dentistry, The University of Queensland, Herston Campus, 4072, Australia

Corresponding Author Email: mohamed_abdalla@eng.svu.edu.eg; haharthi@uqu.edu.sa

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Aluminum and its alloy have a competitive and attractive role in many applications such as aerospace field, shipbuilding, and offshore equipment, due to their excellent mechanical properties concerning their weight. Natural vibration is considering a characteristic property of a material. Any change in the material contracture influences the vibration response. The stress raiser due to cracks or and discontinuity shape can affect the values of the natural frequency of aluminum plate. Therefore, a matrix of the aluminum specimen of 3 mm thickness with different holes of diameter (2, 4, 6, 8, and 10) mm with constant width of 50 mm is used in a vibration modal analysis to measure the neutral frequency. The test is carried out using an impact hummer pulse analyzer system. The vibration modal analysis is used in a cantilever boundary condition case. The finite element Modeling FEM was built to measure and simulates the vibration response of the aluminum cantilever plates with the holes and without holes. The finite element model is carried out using the tensile test properties of standard specimens of aluminum. The results show the natural frequency and damping ratios at 3 shape modes of notch and un notch aluminum plate, it is showed an increase in the value of damping ratio with increasing hole diameter. The Finite element modeling gives a good prediction for shape modes. The cantilever beam is considered a suitable problem to states the effect of stress raiser in the aluminum plate.