KR101650172B1 - Apparatus and method for measuring the velocity of longitudinal wave and transverse wave - Google Patents
Apparatus and method for measuring the velocity of longitudinal wave and transverse wave Download PDFInfo
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- KR101650172B1 KR101650172B1 KR1020150066817A KR20150066817A KR101650172B1 KR 101650172 B1 KR101650172 B1 KR 101650172B1 KR 1020150066817 A KR1020150066817 A KR 1020150066817A KR 20150066817 A KR20150066817 A KR 20150066817A KR 101650172 B1 KR101650172 B1 KR 101650172B1
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Abstract
An apparatus for measuring longitudinal and transverse waves is disclosed. The apparatus for measuring longitudinal and transverse waves according to an embodiment of the present invention includes a longitudinal wave transducer and a transverse wave transducer for receiving a longitudinal wave signal and a transverse wave signal reflected from an object to be inspected; A signal synthesizer for synthesizing the longitudinal signal and the transverse signal so as to generate a longitudinal / transverse overlap signal; A signal extracting unit for separating and extracting the longitudinal wave signal and the transverse wave signal from the longitudinal / transverse overlap signal; And a velocity calculator for calculating velocities of the longitudinal wave signal and the transverse wave signal using the periods of the extracted longitudinal and transverse wave signals and the thickness of the subject.
Description
One embodiment of the present invention relates to velocity measurement of longitudinal and transverse waves, and more particularly to an apparatus and method for longitudinal and transverse velocity measurements based on signal processing.
The technique of measuring the elastic properties of a subject through the measurement of the speed of a sound wave with a pulser / receiver is largely divided into a method using a plurality of pulsers / receivers and a method using a single pulser / receiver.
First, a scheme using a plurality of pulsers / receivers includes a longitudinal wave and a longitudinal wave pulser / receiver and a longitudinal wave transducer for receiving, a pulser / receiver having a shear wave and for receiving, The transverse wave transducer is constructed independently. At this time, the longitudinal wave is excited in the longitudinal wave pulser and received by the longitudinal wave transducer, the received longitudinal wave is signaled through the longitudinal wave receiver, the transverse wave is excited in the transverse wave pulser and received by the transverse wave transducer, To measure the velocity of longitudinal waves and transverse waves. That is, in the method of using plural pulsers / receivers, it is necessary to separately receive and receive signals and to perform signal processing separately.
Next, a single pulser / receiver is used for each of the longitudinal wave transducer and the transverse wave transducer. However, only one pulser / receiver is provided for connecting the pulser / receiver to the longitudinal probe when receiving or receiving the longitudinal wave, When doing so, it switches the pulser / receiver to a transverse probe and performs signal processing of longitudinal and transverse waves.
At this time, there is a problem in that the efficiency and efficiency of a system using a plurality of pulsers / receivers is low, and a method using a single pulser / receiver can simplify the system, but has a problem in that an error occurs in the switching process.
A related prior art is Korean Patent Laid-Open Publication No. 10-2013-0085953 entitled " Method of Measuring Modulus of Elasticity, Disclosure Date: 2014. 10. 24 ".
An object of an embodiment of the present invention is to provide an apparatus and a method for measuring longitudinal and transverse wave velocities that can measure velocities of longitudinal waves and transverse waves that have passed through a subject using an overlapping signal in which longitudinal waves and transverse waves are combined.
According to an aspect of the present invention, there is provided an apparatus for measuring longitudinal and transverse waves, including: longitudinal wave transducers and transverse wave transducers receiving longitudinal wave signals and transverse wave signals reflected from an object; A signal synthesizer for synthesizing the longitudinal signal and the transverse signal so as to generate a longitudinal / transverse overlap signal; A signal extracting unit for separating and extracting the longitudinal wave signal and the transverse wave signal from the longitudinal / transverse overlap signal; And a velocity calculator for calculating velocities of the longitudinal wave signal and the transverse wave signal using the periods of the extracted longitudinal and transverse wave signals and the thickness of the subject.
Preferably, the resonance frequencies of the longitudinal wave transducer and the transverse wave transducer are set differently, the longitudinal wave signal has a resonance frequency equal to the resonance frequency of the longitudinal wave transducer, and the transverse wave signal is equal to the resonance frequency of the transverse wave transducer The resonance frequency of the longitudinal wave signal and the resonance frequency of the transverse wave signal may have different values.
Preferably, the signal combining unit performs signal processing such that the longitudinal wave signal and the transverse wave signal have different resonance frequencies, and then generates the longitudinal / transverse wave superposition signal by combining the longitudinal wave signal and the transverse wave signal .
Preferably, the signal extractor selects an arbitrary frequency between a maximum frequency and a minimum frequency of the longitudinal / transverse overlap signal as a cutoff frequency, performs low-pass and high-pass filtering on the cutoff frequency, The longitudinal wave signal and the transverse wave signal can be separately extracted from the superimposed signal.
Preferably, the signal extractor performs a short time Fourier transform (STFT) on the longitudinal / transversal superposition signal to detect the resonance frequency and the period of each of the two reflection signals included in the longitudinal / transverse overlap signal, And sets a cut-off frequency for separating the longitudinal-wave signal and the transverse-wave signal based on the detected resonance frequency based on the cut-off frequency, Pass filtering may be performed to separate and extract the longitudinal and transverse signals from the longitudinal / transverse overlap signals.
Preferably, the apparatus for measuring longitudinal and transverse waves according to an embodiment of the present invention further includes an elastic property calculating unit that calculates elastic properties based on the velocity of the longitudinal wave signal and the transverse wave signal, Can be performed by the following equations (2) to (6).
&Quot; (2) "
&Quot; (3) "
&Quot; (4) "
&Quot; (5) "
&Quot; (6) "
here,
and S denotes the thickness of the object to be inspected, and The time required for the propagation of the longitudinal wave signal and the transverse wave signal in the object under test, E is the longitudinal elastic modulus, G is the lateral elastic modulus, Represents the density of the subject.Preferably, the elastic properties may include at least one of Poisson's ratio, longitudinal elastic modulus and transverse elastic modulus.
According to another aspect of the present invention, there is provided a method of measuring longitudinal and transverse waves, comprising: receiving longitudinal and transverse signals reflected from an object; Generating a longitudinal / transverse overlap signal by synthesizing the longitudinal signal and the transverse signal so as to be separated; Separating and extracting the longitudinal wave signal and the transverse wave signal from the longitudinal / transverse wave superposition signal; And calculating the velocity of the longitudinal wave signal and the transverse wave signal using the period of each of the extracted longitudinal and transverse wave signals and the thickness of the subject.
Preferably, the longitudinal wave signal and the transverse wave signal are received through a longitudinal wave transducer and a transverse wave transducer whose resonance frequencies are set different from each other, and the longitudinal wave signal has a resonance frequency equal to the resonance frequency of the longitudinal wave transducer, The resonance frequency of the longitudinal wave signal and the resonance frequency of the transverse wave signal may have different values.
Preferably, the step of generating the longitudinal / transverse wave superimposing signal comprises: performing signal processing so that the longitudinal wave signal and the transverse wave signal have different resonance frequencies; and then synthesizing the longitudinal wave signal and the transverse wave signal, A superimposed signal can be generated.
Preferably, the step of separating and extracting the longitudinal and transverse signals comprises the steps of: selecting an arbitrary frequency between a maximum frequency and a minimum frequency of the longitudinal / transverse overlap signal as a cutoff frequency; And performing low-pass and high-pass filtering on the cut-off frequency to separately extract the longitudinal and transverse signals from the longitudinal / transverse overlap signal.
Preferably, the step of separating and extracting the longitudinal and transverse signals comprises performing a short time Fourier transform (STFT) on the longitudinal / transverse overlap signals to calculate a resonant frequency of each of the two reflected signals included in the longitudinal / Detecting a frequency and a period; Dividing the longitudinal signal and the transverse signal based on the detected period; Setting a cutoff frequency for separating the longitudinal and transverse signals based on the detected resonant frequency; And performing low-pass and high-pass filtering on the cut-off frequency to separately extract the longitudinal and transverse signals from the longitudinal / transverse overlap signal.
Preferably, the method for measuring longitudinal and transverse wave velocities according to an embodiment of the present invention further includes calculating elastic properties based on velocities of the longitudinal wave signal and the transverse wave signal, Can be performed by Equations (2) to (6).
&Quot; (2) "
&Quot; (3) "
&Quot; (4) "
&Quot; (5) "
&Quot; (6) "
here,
and S denotes the thickness of the object to be inspected, and The time required for the propagation of the longitudinal wave signal and the transverse wave signal in the object under test, E is the longitudinal elastic modulus, G is the lateral elastic modulus, Represents the density of the subject.Preferably, the elastic properties may include at least one of Poisson's ratio, longitudinal elastic modulus and transverse elastic modulus.
According to one embodiment of the present invention, by measuring the speed of a longitudinal wave signal and a transverse wave signal by using a single signal mixed with a longitudinal wave and a transverse wave, the structure can be simplified, errors can be reduced, accuracy is improved, stability and efficiency are improved There is an effect that can be made.
FIG. 1 is a block diagram illustrating a longitudinal and transverse velocity measuring apparatus according to an embodiment of the present invention. Referring to FIG.
2 is a diagram for explaining a signal extracting unit according to an embodiment of the present invention.
FIG. 3 is a diagram illustrating a result of performing low-pass and high-pass filtering on a longitudinal / transverse overlap signal according to an embodiment of the present invention.
4 is a diagram illustrating a result of performing a short time Fourier transform on a longitudinal / transverse overlap signal according to an embodiment of the present invention.
FIG. 5 is a flowchart illustrating a method of measuring longitudinal and transverse wave velocities according to an embodiment of the present invention. Referring to FIG.
While the invention is susceptible to various modifications and alternative forms, specific embodiments thereof are shown by way of example in the drawings and will herein be described in detail. It is to be understood, however, that the invention is not to be limited to the specific embodiments, but includes all changes, equivalents, and alternatives falling within the spirit and scope of the invention. Like reference numerals are used for like elements in describing each drawing.
The terms first, second, A, B, etc. may be used to describe various elements, but the elements should not be limited by the terms. The terms are used only for the purpose of distinguishing one component from another. For example, without departing from the scope of the present invention, the first component may be referred to as a second component, and similarly, the second component may also be referred to as a first component. And / or < / RTI > includes any combination of a plurality of related listed items or any of a plurality of related listed items.
It is to be understood that when an element is referred to as being "connected" or "connected" to another element, it may be directly connected or connected to the other element, . On the other hand, when an element is referred to as being "directly connected" or "directly connected" to another element, it should be understood that there are no other elements in between.
The terminology used in this application is used only to describe a specific embodiment and is not intended to limit the invention. The singular expressions include plural expressions unless the context clearly indicates otherwise. In the present application, the terms "comprises" or "having" and the like are used to specify that there is a feature, a number, a step, an operation, an element, a component or a combination thereof described in the specification, But do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, or combinations thereof.
Unless defined otherwise, all terms used herein, including technical or scientific terms, have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. Terms such as those defined in commonly used dictionaries are to be interpreted as having a meaning consistent with the contextual meaning of the related art and are to be interpreted as either ideal or overly formal in the sense of the present application Do not.
Hereinafter, preferred embodiments according to the present invention will be described in detail with reference to the accompanying drawings.
FIG. 1 is a block diagram illustrating a longitudinal and transverse velocity measuring apparatus according to an embodiment of the present invention. Referring to FIG.
1, the longitudinal and transverse
Each of the
At this time, each of the
The longitudinal and transverse signals received by the longitudinal and
However, in another embodiment, the resonance frequencies of the
The
The
More specifically, the
If the resonance frequencies of the
However, when the resonance frequencies of the
The reason why the longitudinal / transverse overlap signal is generated by using the longitudinal and transverse signals set to have different frequency characteristics in the present invention is that if the longitudinal and transverse signals are used to measure the velocities of the longitudinal and transverse signals, It is possible to measure the speeds of longitudinal and transverse signals without switching connection of the
That is, in a conventional single pulser / receiver scheme, the receiver is alternately switched and connected to one of a longitudinal probe and a transverse probe because if the receiver is simultaneously connected to a longitudinal probe and a transverse probe, the longitudinal and transverse signals In the present invention, the
As a result, according to the present invention, since only one
The
At this time, the
However, in order to separately extract the longitudinal and transverse signals from the longitudinal / transverse overlap signals by performing low-pass and high-pass filtering, the resonance frequencies of the longitudinal and transverse signals included in the longitudinal / transverse overlap signal should be known.
If the resonance frequencies of the longitudinal and transverse signals included in the longitudinal / transverse overlap signal are not known, the longitudinal and transverse signal can be separated and extracted from the longitudinal / transverse overlap signal by applying frequency conversion to the longitudinal / have. A detailed description thereof will be given later with reference to Fig.
The
More specifically, the value obtained by doubling the thickness of the test subject is the reciprocating wave distance of each of the longitudinal wave signal and the transverse wave signal. The period of each of the longitudinal wave signal and the transverse wave signal is set to be longer than the time required for the longitudinal wave signal and the transverse wave signal to propagate The velocity of the longitudinal wave signal can be calculated by dividing the value obtained by doubling the thickness of the object to be measured (longitudinal wave signal propagation distance) by the reciprocating propagation time of the longitudinal wave signal, and the value obtained by doubling the thickness of the subject body The propagation distance of the transverse waves) is divided by the round trip wave propagation time of the transverse wave signal, the velocity of the transverse wave signal can be calculated.
However, the present invention is not limited to this, and various algorithms that can more accurately calculate the speeds of the longitudinal wave signal and the transverse wave signal using the longitudinal wave signal and the transverse wave signal can be applied.
2 is a diagram for explaining a signal extracting unit according to an embodiment of the present invention.
Referring to FIG. 2, the
2 (a) shows a longitudinal-wave resonance frequency characteristic
, Below ) Is a transverse wave resonance frequency characteristic of a transverse wave signal ( , Below Quot;), the longitudinal / transverse overlap signal is separated.Cutoff frequency (
, Below Quot;) may be a reference frequency that distinguishes between a low frequency band and a high frequency band to be filtered. The cut-off frequency can be calculated by the following equation (1).[Equation 1]
In Fig. 2 (a), the cutoff frequency
A signal corresponding to a larger frequency, that is, a longitudinal wave signal can be extracted by the high-Fig. 2 (b) is a cross-
The longitudinal wave resonance frequency And separating the longitudinal / transversal superposition signal in a case where the longitudinal / transverse overlap signal is larger than the longitudinal / transverse overlap signal.In the case of FIG. 2 (b), as in the case of FIG. 2 (a), the cutoff frequency can be calculated by Equation (1)
The transverse wave signal having a larger frequency characteristic can be extracted by theHere, Equation (1)
and Lt; RTI ID = 0.0 > But the cutoff frequency Is not an average and Lt; RTI ID = 0.0 > a < / RTI >FIG. 3 is a diagram illustrating a result of performing low-pass and high-pass filtering on a longitudinal / transverse overlap signal according to an embodiment of the present invention.
In FIG. 3, a signal extraction result of a longitudinal / transverse superposition signal having a frequency higher than that of the transverse signal is plotted as a horizontal axis, and a graph showing the magnitude of the signal with respect to time with respect to the vertical axis.
3 (b) shows the longitudinal wave signal, FIG. 3 (a) shows the transverse wave signal, and FIG. 3 (b) shows the transverse wave signal. .
3 (a) shows a result of passing the longitudinal / transverse overlap signal through the low-
In addition, the period of the longitudinal wave signal can be roughly grasped through FIG. 3 (b), and the period of the longitudinal wave signal can be roughly calculated using the time interval at which the peak value of the longitudinal wave signal occurs in FIG. 3 (b) .
4 is a diagram illustrating a result of performing a short time Fourier transform on a longitudinal / transverse overlap signal according to an embodiment of the present invention.
When a short time Fourier transform is performed on the longitudinal / transverse overlap signal, the period and the resonant frequency of each of the two reflection signals included in the longitudinal / transverse overlap signal can be numerically derived. In principle, the short time Fourier transform is used to perform spectral analysis on a signal, but in the present invention, it is used to detect the period and the resonance frequency of each of two reflection signals included in the longitudinal / transverse overlap signal.
4 (a) shows the longitudinal / transverse overlap signal using the magnitude of the signal over time. As a result of performing the short time Fourier transform on the longitudinal / transversal superposition signal, as shown in FIG. 4 (b) And the frequency magnitude along the time axis can be represented as the spectrum shown by the vertical axis. Referring to FIG. 4 (b), the spectrum of each of the two reflection signals included in the longitudinal / transverse overlap signal is shown, and the period of each of the two reflected signals can be known through the interval between the spectra. Also, the red dotted line passing through the spectrum for each of the two reflected signals represents the resonance frequency for each of the two reflected signals, which is obtained by performing a short-time Fourier transform on the longitudinal / transverse overlap signal and calculating the numerically obtained resonance frequency value As a red dotted line over the spectrum. Referring to FIG. 4 (b), the longitudinal / transverse wave superimposing signal is composed of an upper reflection signal having a resonance frequency of approximately 6.2 MHz and a period of approximately 12 μs, a resonance frequency of approximately 2.1 MHz, And a reflection signal.
At this time, since the longitudinal wave signal is faster than the transverse wave signal, it can be seen that the reflection signal at the upper end is a longitudinal wave signal and the reflection signal at the lower end is a transverse wave signal.
Next, the cutoff frequency may be set to 4.15 MHz ((6.2 MHz +2.1 MHz) / 2) based on the resonance frequency of the upper-stage longitudinal wave signal and the lower-stage transverse wave signal, The transverse signal can be separated and extracted, and the longitudinal signal can be separated and extracted through the high-pass filtering.
In summary, the
According to another embodiment of the present invention, the
At this time, the elastic properties may include at least one of Poisson's ratio, longitudinal elastic modulus and transverse elastic modulus.
&Quot; (2) "
&Quot; (3) "
&Quot; (4) "
&Quot; (5) "
&Quot; (6) "
here,
and S denotes the thickness of the object to be inspected, and The time required for the propagation of the longitudinal wave signal and the transverse wave signal in the object under test, E is the longitudinal elastic modulus, G is the lateral elastic modulus, Represents the density of the object to be inspected. Preferably, the longitudinal and transverseFIG. 5 is a flowchart illustrating a method of measuring longitudinal and transverse wave velocities according to an embodiment of the present invention. Referring to FIG.
In step 510, longitudinal and transverse
In another embodiment, since the longitudinal and transverse signals are received at
In step 520, the longitudinal and transverse
If the resonance frequency differs from the time when the longitudinal and transverse signals are received for the first time, it is possible to generate the longitudinal / transverse superposition signals by simply synthesizing the received longitudinal and transverse signals without performing separate signal processing will be.
In step 530, longitudinal and transverse
In step 540, the longitudinal and transverse wave
In another embodiment, the longitudinal and transverse wave
The present invention has been described with reference to the preferred embodiments. It will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention as defined by the appended claims. Therefore, the disclosed embodiments should be considered in an illustrative rather than a restrictive sense. The scope of the present invention is defined by the appended claims rather than by the foregoing description, and all differences within the scope of equivalents thereof should be construed as being included in the present invention.
Claims (14)
A signal synthesizer for synthesizing the longitudinal signal and the transverse signal so as to generate a longitudinal / transverse overlap signal;
A signal extracting unit for separating and extracting the longitudinal wave signal and the transverse wave signal from the longitudinal / transverse overlap signal; And
And a velocity calculating section for calculating velocities of the longitudinal wave signal and the transverse wave signal using the period of each of the extracted longitudinal and transverse wave signals and the thickness of the subject.
The resonance frequencies of the longitudinal wave transducer and the transverse wave transducer are set differently,
Wherein the longitudinal wave signal has a resonance frequency equal to the resonance frequency of the longitudinal wave probe, the transverse wave signal has a resonance frequency equal to the resonance frequency of the transverse wave probe, and the resonance frequency of the longitudinal wave signal and the resonance frequency of the transverse wave signal have different values Of the longitudinal and transverse waves.
The signal synthesizer
Wherein the longitudinal and transverse wave signals are generated by performing signal processing such that the longitudinal wave signal and the transverse wave signal have different resonance frequencies, and then synthesizing the longitudinal wave signal and the transverse wave signal to generate the longitudinal / transverse wave superposition signal.
The signal extracting unit
Wherein the frequency of the longitudinal / transverse wave superposition signal is selected as a cutoff frequency and a low-frequency and high-pass filtering are performed on the basis of the cutoff frequency, An apparatus for measuring the speed of longitudinal and transverse waves for separating and extracting transverse signals.
The signal extracting unit
Performing a short time Fourier transform (STFT) on the longitudinal / transversal superposition signal to detect a resonance frequency and a period of each of the two reflection signals included in the longitudinal / transverse overlap signal, and, based on the detected period, And the transverse wave signal, sets a cutoff frequency for separating the longitudinal and transverse signals based on the detected resonance frequency, performs low-pass and high-pass filtering on the cutoff frequency, And a longitudinal and transverse wave velocity measuring device for separating and extracting the longitudinal wave signal and the transverse wave signal from the transverse wave superposition signal.
Further comprising an elastic property calculation unit for calculating an elastic property based on the velocity of the longitudinal wave signal and the transverse wave signal,
Wherein the calculation of the elastic properties is performed by the following equations (2) to (6).
&Quot; (2) "
&Quot; (3) "
&Quot; (4) "
&Quot; (5) "
&Quot; (6) "
here, and S denotes the thickness of the object to be inspected, and The time required for the propagation of the longitudinal wave signal and the transverse wave signal in the object under test, E is the longitudinal elastic modulus, G is the lateral elastic modulus, Represents the density of the subject.
The elastic properties
Poisson's ratio, longitudinal elastic modulus and lateral modulus of elasticity.
Generating a longitudinal / transverse overlap signal by synthesizing the longitudinal signal and the transverse signal so as to be separated;
Separating and extracting the longitudinal wave signal and the transverse wave signal from the longitudinal / transverse wave superposition signal; And
And calculating the velocity of the longitudinal wave signal and the transverse wave signal using the period of each of the extracted longitudinal and transverse wave signals and the thickness of the subject.
The longitudinal and transverse signals are received through a longitudinal wave transducer and a transverse wave transducer whose resonance frequencies are set different from each other,
Wherein the longitudinal wave signal has a resonance frequency equal to the resonance frequency of the longitudinal wave probe, the transverse wave signal has a resonance frequency equal to the resonance frequency of the transverse wave probe, and the resonance frequency of the longitudinal wave signal and the resonance frequency of the transverse wave signal have different values And measuring the velocity of the longitudinal and transverse waves.
The step of generating the longitudinal / transverse overlap signal
Wherein the longitudinal and transverse wave signals are generated by performing signal processing such that the longitudinal wave signal and the transverse wave signal have different resonance frequencies, and then synthesizing the longitudinal wave signal and the transverse wave signal to generate the longitudinal / transverse wave superposition signal.
The step of separating and extracting the longitudinal wave signal and the transverse wave signal
Selecting an arbitrary frequency between a maximum frequency and a minimum frequency of the longitudinal / transverse overlap signal as a cutoff frequency; And
And performing low-pass and high-pass filtering on the cutoff frequency to separate and extract the longitudinal and transverse signals from the longitudinal / transverse overlap signals.
The step of separating and extracting the longitudinal wave signal and the transverse wave signal
Performing a short time Fourier transform (STFT) on the longitudinal / transversal superposition signal to detect a resonance frequency and a period of each of the two reflection signals included in the longitudinal / transverse overlap signal;
Dividing the longitudinal signal and the transverse signal based on the detected period;
Setting a cutoff frequency for separating the longitudinal and transverse signals based on the detected resonant frequency; And
And performing low-pass and high-pass filtering on the cutoff frequency to separate and extract the longitudinal and transverse signals from the longitudinal / transverse overlap signals.
Further comprising the step of calculating an elastic property based on the velocity of the longitudinal wave signal and the transverse wave signal,
Wherein the calculation of the elastic properties is performed by the following equations (2) to (6).
&Quot; (2) "
&Quot; (3) "
&Quot; (4) "
&Quot; (5) "
&Quot; (6) "
here, and S denotes the thickness of the object to be inspected, and The time required for the propagation of the longitudinal wave signal and the transverse wave signal in the object under test, E is the longitudinal elastic modulus, G is the lateral elastic modulus, Represents the density of the subject.
The elastic properties
Poisson's ratio, longitudinal elastic modulus, and transverse elastic modulus.
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Citations (4)
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JP2792286B2 (en) * | 1991-11-12 | 1998-09-03 | 日本鋼管株式会社 | Method for measuring elastic constant of specimen |
JP2009276095A (en) * | 2008-05-12 | 2009-11-26 | Jfe Civil Engineering & Construction Corp | Non-destructive flaw detecting method and non-destructive flaw detector |
KR100955783B1 (en) * | 2008-05-07 | 2010-05-06 | 한국과학기술원 | Nondestructive testing method of concrete structures using stress wave techniques |
KR20120113161A (en) * | 2011-04-04 | 2012-10-12 | 주식회사 포스코 | Measuring method and measruting apparatus of poisson's ratio |
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Publication number | Priority date | Publication date | Assignee | Title |
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JP2792286B2 (en) * | 1991-11-12 | 1998-09-03 | 日本鋼管株式会社 | Method for measuring elastic constant of specimen |
KR100955783B1 (en) * | 2008-05-07 | 2010-05-06 | 한국과학기술원 | Nondestructive testing method of concrete structures using stress wave techniques |
JP2009276095A (en) * | 2008-05-12 | 2009-11-26 | Jfe Civil Engineering & Construction Corp | Non-destructive flaw detecting method and non-destructive flaw detector |
KR20120113161A (en) * | 2011-04-04 | 2012-10-12 | 주식회사 포스코 | Measuring method and measruting apparatus of poisson's ratio |
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