An effective method for determination of elastic constants of materials using multiresolution analysis

This study introduces a novel algorithm for determining elastic constants in materials using a multiresolution approach. This innovative method accurately estimates the natural frequency of the tested material, a crucial parameter for evaluating material constants such as Young’s modulus and stiffness. This algorithm has substantial significance in the field of materials characterization. The experimental setup involves a specialized mechanical assembly designed for testing metal plates. Vibrational signals are acquired during experimentation. These raw signals undergo a multi-resolution process, leading to the extraction of the material specimen’s fundamental frequency. Using this estimated fundamental frequency, essential elastic constants such as Young’s modulus and stiffness are calculated with high precision. To validate the experimental findings, a thorough comparison is made using the finite element method (FEM), specifically utilizing ANSYS software. The experimental procedure is conducted on two different materials: stainless steel SA 240 Gr 304 and copper. Additionally, various testing conditions, including changes in ball weight and ball release height, are employed to comprehensively assess the algorithm’s performance across diverse scenarios. The experimental outcomes highlight the algorithm’s accuracy. Notably, the average percentage errors for estimating the fundamental frequency are impressively low, standing at 1.30% for stainless steel (SS) and 1.19% for copper. Similarly, the algorithm demonstrates excellence in calculating the modulus of elasticity, resulting in average percentage errors of 1.97% for SS and 2.33% for copper.