基于Bloch-Floquent理论和有限元仿真的板结构Lamb波复频散关系研究

doi:10.16180/j.cnki.issn1007-7820.2023.08.008

Abstract

Abstract:

In order to solve the problem of Lamb wave dispersion and multi-mode restriction in plate structure and its practical application in ultrasonic nondestructive testing technology, a method based on Bloch-Floquent theory and finite element characteristic frequency method is used to calculate the dispersion curve of plate structure containing mode information in real and pure imaginary wave number domains. Based on the Bloch-Floquent periodic boundary conditions, the dispersion curves of infinite steel plate structures in irreducible Brillouin region and pure imaginary wave number domain are quickly calculated. In this study, Bloch-Floquent extension and Fourier transform are used to obtain the real wave number information of each characteristic mode and overcome the aliasing problem of dispersion curve. In this study, the modal identification is carried out according to the out-of-plane displacements of the upper and lower surfaces of each mode, and the complete dispersion relation of the steel plate is obtained. The calculated results of this method are in good agreement with those obtained by solving the dispersion equation with the traditional dichotomy method, which verifies the validity of this method.

Key words: nondestructive testing, plate structure, Lamb wave, dispersion, finite element, Bloch-Floquent theory, eigenfrequency method, complex wave number

CLC Number:

TN04

GU Xin,XU Baiqiang,XU Guidong,XU Chenguang,ZHANG Sai. Study of Lamb-Wave Complex Dispersion Relations for Plate Structures Based on Bloch-Floquent Theory and Finite Element Simulation[J].Electronic Science and Technology, 2023, 36(8): 49-55.

Figures/Tables 10

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Study of Lamb-Wave Complex Dispersion Relations for Plate Structures Based on Bloch-Floquent Theory and Finite Element Simulation

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