Eventos Anais de eventos
DINAME 2023
XIX International Symposium on Dynamic Problems of Mechanics
A comparative Study of Dispersion Curves in Cylindrical Waveguide Using the Semi-Analytical Finite Element Method
Submission Author:
Barbara Valeria de Abreu Lavor , RJ , Brazil
Co-Authors:
Barbara Valeria de Abreu Lavor
Presenter: Barbara Valeria de Abreu Lavor
doi://10.26678/ABCM.DINAME2023.DIN2023-0005
Abstract
Ultrasonic inspections are a non-destructive technique widely used in the analysis of civil and mechanical structures, without affecting the operation of the equipment or harming its integrity. In the procedure, a transmitter emits acoustic pulses that propagate through the structural elements. According to the response recorded by the receivers, it is possible to detect pathologies, such as damage, because it changes the shape of the dispersion curves and wave modes, compared to the acoustic response of a structure without anomalies. Obtaining the dispersion curves means finding the roots of a system of equations, for which iterative computational algorithms are used. One way to solve the system is to use numerical methods such as finite elements. However, in more complex or very long waveguides, the computational costs are high, or unfeasible. This difficulty can be overcomed with a combination of analytical solutions and the finite element method (SAFE or semi-analytical finite element). In this work, a comparison is made considering the responses obtained in the propagation of waves in cylindrical guides using the FEM of the COMSOL software and the SAFE implemented in Matlab.
Keywords
Ultrasonic Guided Waves, Cylindrical Waveguide, Semi-Analytical Finite Element, structural integrity

