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Method for solving numerical value of dispersion curve in sonic sensor

An acoustic wave sensor and dispersion curve technology, which is applied in the numerical field for solving the dispersion curve in the acoustic wave sensor, and can solve the problems of insufficient analysis of the acoustic wave sensor, difficulty in solving, etc.

Active Publication Date: 2016-05-18
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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Problems solved by technology

[0003] The wave dispersion equation is generally a binary transcendental equation about wavenumber and frequency. When solving the solution of the dispersion relation in the complex wavenumber domain, the equation becomes a more complex ternary transcendental equation, and the coefficients of the dispersion equation may contain complex numbers , so it is very difficult to solve this kind of problem, and generally can only solve the dispersion relationship for very special and very simple cases, which is far from enough for the analysis of various acoustic wave sensors with different structures

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  • Method for solving numerical value of dispersion curve in sonic sensor
  • Method for solving numerical value of dispersion curve in sonic sensor
  • Method for solving numerical value of dispersion curve in sonic sensor

Examples

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Embodiment 1

[0062] Embodiment 1: Investigate the propagation of waves in an infinite piezoelectric plate, the dispersion equation of its symmetrical mode is:

[0063] t a n [ π 2 ( Ω 2 - Z 2 ) 1 2 ] tanh ( π 2 Z ) = - k 2 Z ( Ω 2 ...

Embodiment 2

[0068] Embodiment 2: investigate the spectrum of Rayleigh-Lamb wave, the dispersion equation of its longitudinal mode is:

[0069] t a n [ π 2 ( Ω 2 - Z 2 ) 1 2 ] t a n [ π 2 ( Ω 2 / κ 2 - Z ...

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Abstract

The invention discloses a method for solving a numerical value of a dispersion curve in a sonic sensor. A method for solving a numerical value of a dispersion curve in a real-wave number field and a complex-wave number field is used for solving the frequency of a dispersion equation in the real-wave number field and the complex-wave number field and the solution of a wave number by utilizing the convergence of the module value of the dispersion equation near a zero point. The method comprises the following steps: determining the form of a scanning unit according to a wave number solving space; comparing and finding out the minimal value point of the module value of the dispersion equation in a corresponding space by utilizing the scanning unit; and judging whether the minimal value point is the zero point or not by utilizing the convergence of the module value of the dispersion equation near the zero point. According to the invention, the problem of being difficult to solve the numerical value of the dispersion equation in the real-wave number field and the complex-wave number field can be effectively solved; the method can be used for solving dispersion equations in all kinds of wave propagation problems; and the method is applied to wave propagation and analysis in multiple sensor models.

Description

technical field [0001] The invention belongs to the technical field of acoustic wave sensors, and in particular relates to a numerical solution method for dispersion equations in the real wave number domain and complex wave number domain, which can be applied to the dispersion equation of wave propagation problems in structures such as surface acoustic wave or bulk acoustic wave resonators, filters, and sensors. The accurate solution of frequency and frequency characteristics provides an important reference for the selection of frequency and working mode in the design process of surface acoustic wave or bulk acoustic wave devices. Background technique [0002] The development of sensor technology has brought great changes to people's life. An acoustic wave sensor is a widely used sensor. The basic principle of the acoustic wave sensor is: when the wave propagates in a specific structure, its dispersion characteristics (that is, the relationship between the wave number and t...

Claims

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Application Information

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IPC IPC(8): G06F19/00
CPCG16Z99/00
Inventor 钱征华朱峰王彬
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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