COMSOL-based Guided Wave Scattering Solution And Its Applications

It is of great value to study the scattering of guided waves in circular tubes.In this paper,the semi-analytical finite element method(SAFE)can be used to solve the guidewave characteristic equation with less computation,and obtain the dispersion curve and the sound field distribution of the guided wave.Module using COMSOL partial differential equation constructed anisotropic layers tube axial,circumferential and spiral direction semi-analytical finite element model of the characteristic equation of guided wave,After the guided wave pattern is extracted by LiveLink with MATLAB,the scattering problem caused by the change of axial free end face,circumferential free section and thickness step is solved by the pattern matching method.Finally,a semi-analytical solution to the vibration frequency of a large cross-section ladder is proposed and verified by using the scattering solution.The content of this article is arranged as follows:First,the nondestructive application and progress of guided waves in solid,are briefly described,and the research purpose and background of this paper are clarified.Secondly,the associated theoretical knowledge of this article is introduced.Next,the partial differential equations in COMSOL were used to construct the characteristic equations of axial and circumferential guided waves in an anisotropic multilayer pipe,and the obtained dispersion curves are compared with the published results.Then using LiveLink with MATLAB technology,the wave fields of the guided modes areextracted,used in mode-matching to derive the scattering model of the guided waves at the free end and thickness step,and verified it partially.Finally,the eigenvalue problem induced by of free vibration of stepped cylinderis handled based on the associated scattering solution.The vibration frequency and vibration mode are obtained and compared with the results of 3D finite element models.