Variable Array Ultrasonic Guided Wave Imaging for Plate Thickness
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Solution Overview
Problem
Current ultrasonic guided wave non-destructive testing methods for quantitative imaging of defects in metal plates face challenges in practical operation and feasibility, despite advancements in numerical calculations and simulations, due to limitations in imaging accuracy and defect characterization.
Innovation Solution
A method for ultrasonic guided wave quantitative imaging using a variable array, which converts the non-linear Lippmann-Schwinger equation into a linear summation form, selects appropriate solution algorithms based on the number of probes, and employs variable born approximation iterations to approximate the true solution, allowing for quantitative evaluation of plate thickness through scattered field signals.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Power
If numerical calculation and simulation methods are used for ultrasonic guided wave imaging, then computational capability is improved, but imaging accuracy and practical feasibility deteriorate
Solution Approach 1:
The patent transforms the fundamental mathematical formulation by converting the non-linear Lippmann-Schwinger equation into a linear system through the method of moments. This parameter change in the mathematical model enables the use of efficient linear algebra algorithms while maintaining imaging accuracy, resolving the contradiction between computational power and imaging precision.
Solution Approach 2:
The patent replaces complex iterative numerical simulation with a direct linear algebraic solution approach. By substituting the mechanical iterative computation system with a mathematical transformation and linear system solver, the method achieves both computational efficiency and high imaging accuracy in practical applications.
2Device complexity
If a fixed array configuration is used for ultrasonic testing, then device complexity is reduced, but adaptability to different inspection requirements deteriorates
Solution Approach 1:
The patent designs a variable array system where sensor probes can be dynamically configured in different spatial arrangements. This universal array structure can adapt to various inspection scenarios (different defect locations, plate geometries, and testing requirements) without requiring multiple dedicated fixed arrays, thereby achieving versatility while maintaining manageable device complexity.
Solution Approach 2:
The patent implements a dynamic array configuration system that can adjust probe positions and arrangements based on specific inspection needs. This dynamic adaptability allows the same physical array to serve multiple inspection purposes, resolving the contradiction between simple fixed configuration and versatile adaptability.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This method enables accurate and practical quantitative evaluation of metal plate thickness by converting the Lippmann-Schwinger equation into a linear form, using suitable algorithms for different array configurations, and continuously correcting Green's functions to achieve precise imaging and defect characterization.
Implementation Method 1
ultrasonic guided wave non-destructive testing technology based on lamb wave
Implementation Method 2
Lamb wave features long propagation distance and dispersion in a metal plate structure
Implementation Method 3
capturing actual scattered field signals with any one of the sensor probes as excitation and all residual sensor probes as receiving points
Data Source
AI summary
The present disclosure relates to a method for ultrasonic guided wave quantitative imaging in a form of variable array and belongs to the technical field of ultrasonic non-destructive testing. The method includes: converting a non-linear lippmann-Schwinger equation into a form of linear summation by a method of moments; and selecting acquisition arrays with different numbers of probes to measure a scattered field signal, and modifying Green's functions by variable born approximation for continuous iterations to approximate a true solution, so as to obtain a final objective function Ok to be solved. According to the present disclosure, by adjusting the arrays, the number of probes and appropriate solution algorithm can be selected based on the testing accuracy; and the method can achieve quantitative evaluation of non-destructive testing, and can be widely used in practical guided wave testing applications of industrial non-destructive testing.