Numerical method for quickly drawing dispersion curve in complex wave number domain in waveguide structure

A technology of dispersion curves and numerical methods, applied in the field of drawing dispersion curves in the complex wavenumber domain, can solve problems such as large calculation time, achieve the effect of optimizing data structure and improving solution efficiency
CN112069447APending Publication Date: 2020-12-11NANJING UNIV OF AERONAUTICS & ASTRONAUTICS

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
Publication Date
2020-12-11

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Abstract

The invention discloses a numerical method for quickly solving a dispersion curve in an acoustic wave sensor. The numerical method utilizes a method of sequentially tracking and drawing single dispersion curve branches to form a complete space dispersion curve. The method comprises the following steps: establishing a subinterval for solving the next wave number by utilizing the first two wave numbers of a current tracking branch; and employing a screening method when multiple solutions appear in a sub-interval in the tracking process. According to the method, the problem that a large amount ofoperation time is consumed due to the fact that the solving accuracy and completeness are improved when a space dispersion curve is solved through a conventional method is effectively solved, separated storage of each piece of modal data can be achieved to a certain extent, and a data storage structure is optimized. The method can be suitable for drawing and solving spatial dispersion curves in various types of waveguide structures, and brings great convenience to propagation analysis and subsequent application of waves in various sensor models.
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Description

technical field

[0001] The invention belongs to the technical field of acoustic wave sensors, in particular to a method for drawing dispersion curves in the complex wave number domain. Background technique

[0002] The research on the theory and application of ultrasonic guided waves is widely used in the field of sensor technology and non-destructive testing. In order to better apply the ultrasonic guided wave, it is necessary to study the propagation characteristics of the guided wave, that is, to analyze the frequency, wave number, phase velocity and group velocity of the ultrasonic guided wave in the waveguide. Among them, when a wave propagates in a specific structure, its dispersion relationship (that is, the relationship between wave number and frequency) is certain. By extrapolating and solving the dispersion equation, the displacement field distribution can be obtained. Therefore, theoretically calculating the dispersion relationship of waves propagating in the wa...

Claims

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