Spectral Method For Modeling The Dispersion Of Complex Guided Wave Modes In Anisotropic Pipeline

The aim of the present work is to use the spectral method to plot the dispersion curves of ultrasonic guided waves in anisotropic pipelines. We begin by describing the mathematical formulation of the problem, followed by the application of the spectral method algorithm to plot these curves, covering different levels of anisotropy to test the robustness of the method to various mechanical behaviors. Particular attention is paid to complex modes, poorly studied in the pipeline literature. Results are compared with analytical solutions, and computation time and coding effort are also compared with those of previous analytical methods. These studies demonstrate the significant advantage of the spectral method in terms of accuracy efficiency and computational time savings for plotting the dispersion curves of complex modes in anisotropic pipelines.