Affiliation:
1. Department of Mathematics, University of Chittagong, Chattogram 4331, Bangladesh
2. Department of Mathematics, Chittagong University of Engineering and Technology, Chattogram 4349, Bangladesh
Abstract
Different solid materials are widely used in various constructions due to their availability and low cost. However, cracks or conversions in the structures can affect their stiffness and vibration signatures. This research aims to evaluate the load distribution, deformation, and the effects of the cracks on the natural frequencies and deformations of iron, steel, and titanium beams. A finite element-based model and COMSOL Multiphysics software were employed to measure and compare the frequencies and strengths of the beams. The results showed that the frequencies increased with the load, and titanium beams had the highest frequencies and deflections, while steel beams had the highest stress resistance. This frequency analysis can help to detect very small cracks (less than 0.05 mm) in the beams. The study concluded that steel is the most suitable material for construction due to its elasticity, availability, and low cost.
Subject
General Engineering,General Mathematics
Reference22 articles.
1. Fault diagnosis of cracked cantilever composite beam by vibration measurement and RBFNN;I. A. Khan;Journal of Mechanical Design and Vibration,2013
2. Vibration analysis on a composite beam to identify damage and damage severity using finite element method;E. V. V. Ramanamurthy;International Journal of Engineering Science and Technology,2011
3. Analysis of stresses and strains near the end of a crack transverse in a plate;G. R. Irwin;Journal of Applied Mechanics,1956
4. Effects of crack location and depths for an iron bar: A Finite Element approach
5. Detection of multiple cracks using frequency measurements