CN114295250A - System and method for accurately measuring actual locking rail temperature of seamless line - Google Patents
System and method for accurately measuring actual locking rail temperature of seamless line Download PDFInfo
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Abstract
The invention provides a system and a method for accurately measuring the actual locked rail temperature of a seamless rail, wherein a first ultrasonic transmitting transducer and a second ultrasonic transmitting transducer are adopted to respectively generate two excitation signals with different frequencies, the two excitation signals are vertically incident to a transparent wedge block and generate two rows of refracted transverse waves in a steel rail, the two rows of refracted transverse waves generate a longitudinal wave under the nonlinear resonance effect when being transmitted in the steel rail, the attenuation of the steel rail to the ultrasonic waves can be slowed down and compensated, the detection range reaches the micron level, the change condition of the inner part of the steel rail in the early stage can be detected, the detection resolution is improved, meanwhile, the nonlinear interference brought by experimental equipment in the detection process is eliminated, and the detection accuracy is improved.
Description
Technical Field
The invention relates to the technical field of steel rail detection, in particular to a system and a method for accurately measuring the actual locked rail temperature of a seamless rail.
Background
The jointless track is more and more widely applied to railway construction because of good smoothness and obvious shock absorption effect. But the stitchless seam does not stretch in the length direction because the stitchless seam eliminates the gap. Therefore, when the temperature of the steel rail changes, temperature stress is generated inside the steel rail. The temperature of the steel rail rises along with the environmental temperature in summer, the pressure stress accumulated inside the steel rail can expand the steel rail, the temperature of the steel rail reduces along with the environmental temperature in winter, and the tensile stress accumulated inside the steel rail can cause the steel rail to break. Therefore, in order to ensure the driving safety of the train, the temperature stress of the steel rail needs to be detected and checked regularly so as to maintain the safety of the seamless track and reduce the occurrence of accidents.
The actual locked rail temperature is the rail temperature at which the jointless track temperature stress is zero. The measurement of the actual locked rail temperature of the seamless rail is generally realized by adopting a linear ultrasonic detection method, but the change range of the rail temperature is large, so that huge temperature stress is generated inside the rail, the temperature stress is influenced by various factors, and a large error exists in the direct measurement. Therefore, in order to solve the above problems, the present invention provides a system and a method for accurately measuring the actual locked rail temperature of the jointless track, which adopts a nonlinear ultrasonic detection method to realize the measurement of the actual locked rail temperature of the jointless track, and improves the detection range and the measurement accuracy.
Disclosure of Invention
In view of the above, the invention provides a system and a method for accurately measuring the actual locked rail temperature of the jointless track, which adopt a nonlinear ultrasonic detection method to realize the measurement of the actual locked rail temperature of the jointless track, and improve the detection range and the measurement accuracy.
The technical scheme of the invention is realized as follows: the invention provides a system for accurately measuring the actual locking rail temperature of a seamless line, which comprises a temperature detection module, a signal acquisition device, a first ultrasonic transmitting transducer, a second ultrasonic transmitting transducer, an ultrasonic receiving transducer and two transparent wedges, wherein the first ultrasonic transmitting transducer is connected with the second ultrasonic transmitting transducer through a cable;
the transparent wedges are provided with inclined planes forming a preset angle with the horizontal direction, a first ultrasonic transmitting transducer or a second ultrasonic transmitting transducer is installed on each inclined plane, the two transparent wedges are arranged on the same side of the steel rail at a fixed distance, and the inclined plane of any one transparent wedge is arranged towards the direction far away from the other transparent wedge; the ultrasonic receiving transducer is arranged on the steel rail at the same side between the two transparent wedges; the temperature detection module is arranged on the steel rail on the same side;
the first ultrasonic transmitting transducer and the second ultrasonic transmitting transducer respectively generate excitation signals under the control of the signal acquisition device, and the excitation signals are vertically incident into the transparent wedge block and are refracted by the transparent wedge block to generate refracted transverse waves; the two paths of refracted transverse waves generate a nonlinear resonance effect in the steel rail and generate longitudinal waves; the longitudinal waves are collected by the ultrasonic receiving transducer and collected information is transmitted to the signal collecting device; the temperature detection module detects the surface temperature of the steel rail and transmits a temperature signal to the signal acquisition device;
the first ultrasonic transmitting transducer and the second ultrasonic transmitting transducer are respectively and electrically connected with the input end of the signal acquisition device, and the ultrasonic receiving transducer and the temperature detection module are respectively and electrically connected with the output end of the signal acquisition device.
On the basis of the above technical solution, preferably, the slope angle of the transparent wedge is between the corresponding critical refraction angles when the excitation signal generates critical refraction.
Based on the technical scheme, the inclined plane angle of the transparent wedge block is preferably between 27.32 and 57.36 degrees.
On the basis of the above technical solution, preferably, the bevel angle of the transparent wedge is 45 °.
On the basis of the technical scheme, preferably, the fixed distance between the two transparent wedges is the spacing distance between the two transparent wedges when the amplitude of a signal received by the ultrasonic receiving transducer is maximum.
On the basis of the above technical solution, preferably, the two refracted transverse waves satisfy an acoustic resonance condition, that is, satisfy the following formula:
wherein the content of the first and second substances,f1frequency of the excitation signal, f, generated for the first ultrasonic transmitting transducer2Frequency of the excitation signal, f, generated for the second ultrasonic transmitting transducer2>f1;Is an included angle of two rows of refracted transverse waves; c is the ratio of the refracted shear wave velocity to the longitudinal wave velocity in the rail.
In another aspect, the present invention provides a method for accurately measuring the actual locked rail temperature of a jointless track, comprising the steps of:
s1, building a locking rail temperature system;
s2, analyzing and calculating the received longitudinal wave and the temperature signal by the signal acquisition device to obtain the temperature of the steel rail and the corresponding ultrasonic nonlinear coefficient at the temperature;
s3, drawing a curve of the ultrasonic nonlinear coefficient along with the change of the temperature of the steel rail, adding a steel rail temperature stress correction factor into the curve, and obtaining the actual locked rail temperature of the seamless rail according to the actual steel rail temperature.
On the basis of the above technical solution, preferably, the ultrasound nonlinear coefficient in S2 is:
wherein, A (f)1) The amplitude value corresponding to the excitation signal generated by the first ultrasonic transmitting transducer; a (f)2) The amplitude value corresponding to the excitation signal generated by the second ultrasonic transmitting transducer; a (f)1+f2) For producing two lines of refracted transverse waves by nonlinear resonanceMagnitude of wave amplitude.
On the basis of the above technical solution, preferably, the curve of the ultrasonic nonlinear coefficient varying with the temperature of the steel rail in S3 is:
wherein k is1Is a quadratic coefficient; k is a radical of2Is a first order coefficient; k is a radical of3Is a constant term; delta is delta1+αT,δ1Other stresses; alpha is the temperature stress coefficient of the steel rail; t is the temperature of the steel rail.
Compared with the prior art, the system and the method for accurately measuring the actual locked rail temperature of the seamless line have the following beneficial effects:
(1) the first ultrasonic transmitting transducer and the second ultrasonic transmitting transducer are adopted to respectively generate two excitation signals with different frequencies, the two excitation signals are vertically incident to the transparent wedge block and generate two rows of refracted transverse waves on the surface of the steel rail, the two rows of refracted transverse waves generate a longitudinal wave under the nonlinear resonance effect when being transmitted in the steel rail, the attenuation of the steel rail to the ultrasonic waves can be slowed down and compensated, the detection range reaches the micron level, the change condition of the inner part of the steel rail in the early stage can be detected, the detection resolution is improved, meanwhile, the nonlinear interference brought by experimental equipment in the detection process is eliminated, and the detection accuracy is improved;
(2) limiting the distance between the two transparent wedges and the angle of the inclined plane to enable the amplitude of longitudinal waves generated by the nonlinear resonance action of the two rows of refracted transverse waves to be maximum;
(3) the method adopts a nonlinear ultrasonic detection method to realize the measurement of the actual locking rail temperature of the seamless line, and improves the detection range and the measurement precision;
(4) the ultrasonic nonlinear coefficient is obtained based on the longitudinal wave generated by the nonlinear resonance effect when two rows of refracted transverse waves are transmitted in the steel rail, and the steel rail temperature stress correction factor is added to the curve of the ultrasonic nonlinear coefficient along with the change of the steel rail temperature, so that the influence of the steel rail temperature stress and the steel rail temperature on the measurement of the actual locked rail temperature can be avoided, and the actual locked rail temperature of the seamless rail can be accurately and nondestructively measured.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the drawings without creative efforts.
FIG. 1 is a schematic diagram of a system for accurately measuring the actual locked rail temperature of a jointless track in accordance with the present invention;
FIG. 2 is a diagram of electrical connections in a system for accurately measuring the actual locked rail temperature of a jointless track in accordance with the present invention;
FIG. 3 is a comparison graph of amplitude of longitudinal wave signals received by a transparent wedge 3 at different slope angles in a system for accurately measuring the actual locked rail temperature of a jointless track according to the present invention;
FIG. 4 is a curve of ultrasonic nonlinear coefficient varying with rail temperature in a method for accurately measuring actual locked rail temperature of a jointless track according to the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be obtained by a person skilled in the art without any inventive step based on the embodiments of the present invention, are within the scope of the present invention.
Example 1
The method for detecting the temperature stress of the steel rail on the current seamless track can be divided into a strain method and a stress method in principle. The present embodiment employs a stress method. The application of ultrasonic waves in the railway industry has the following aspects: firstly, detecting the damage condition of the steel rail; secondly, detecting the residual stress of the straightened steel rail; and thirdly, detecting the temperature stress of the steel rail. The present embodiment uses ultrasonic waves to accurately measure the actual locked rail temperature of the jointless track. At present, the system for actually locking the rail temperature by utilizing the ultrasonic detection of the seamless line mostly adopts an ultrasonic transmitting transducer and an ultrasonic receiving transducer, and the received signals of the ultrasonic receiving transducer are analyzed, however, the change range of the temperature of the steel rail is large, so that the inside of the steel rail generates huge temperature stress, the temperature stress is influenced by various factors, and the direct measurement has large errors.
In order to solve the above problems, as shown in fig. 1, the system for accurately measuring the actual locked rail temperature of the jointless track according to the present invention comprises a temperature detection module 6, a signal acquisition device, a first ultrasonic transmitting transducer 2, a second ultrasonic transmitting transducer 4, an ultrasonic receiving transducer 5 and two transparent wedges 3. As shown in fig. 2, the first ultrasonic transmitting transducer 2 and the second ultrasonic transmitting transducer 4 are respectively electrically connected to an input terminal of the signal acquisition device, and the ultrasonic receiving transducer 5 and the temperature detection module 6 are respectively electrically connected to an output terminal of the signal acquisition device.
Furthermore, the ultrasonic transducer can only detect the position corresponding to the transducer, and long-distance detection cannot be realized; and due to the influence of temperature, stress and other inducements on ultrasonic attenuation, the problems of small detection range and high false alarm rate exist in the operation process of the conventional seamless track actual locking rail temperature monitoring system. In order to solve the above problem, the present embodiment uses two rows of refracted transverse waves to generate a longitudinal wave by generating a nonlinear resonance effect when propagating in the rail 1, and detects the longitudinal wave signal to obtain the actual rail locking temperature of the rail. On one hand, the two rows of longitudinal waves generated after the transverse waves are refracted and subjected to nonlinear resonance can slow down and compensate the attenuation of the steel rail 1 to the ultrasonic waves, so that the detection range reaches the micron level, the change condition of the inner part of the steel rail 1 in the early stage can be detected, the detection resolution is improved, meanwhile, the nonlinear interference brought by experimental equipment in the detection process is eliminated, and the detection accuracy is improved; on the other hand, the velocity of the longitudinal wave is greater than the velocity of the transverse wave, and signals received by the ultrasonic receiving transducer 5 can be easily distinguished. In particular, in this embodiment, the first ultrasonic transmitting transducer 2 and the second ultrasonic transmitting transducer 4 are arranged to generate frequencies f, respectively1And f2The excitation signal of (2). The two-column stimulusThe signal is ultrasonic longitudinal wave, in order to obtain two rows of refracted transverse waves, the embodiment is provided with two transparent wedges 3, each transparent wedge 3 is provided with an inclined surface forming a preset angle with the horizontal direction, a first ultrasonic transmitting transducer 2 or a second ultrasonic transmitting transducer 4 is installed on each inclined surface, the two transparent wedges 3 are arranged on the same side of the steel rail 1 in a fixed distance, the inclined surface of any transparent wedge 3 is arranged towards the direction far away from the other transparent wedge 3, and an ultrasonic receiving transducer 5 is arranged on the steel rail 1 on the same side between the two transparent wedges 3; the temperature detection module 6 is arranged on the steel rail 1 on the same side.
Preferably, the first ultrasonic transmitting transducer 2 and the second ultrasonic transmitting transducer 4 respectively generate excitation signals under the control of the signal acquisition device, and the excitation signals vertically enter the transparent wedge 3 and are refracted by the transparent wedge 3 to generate refracted transverse waves; the two rows of refracted transverse waves are marked as lambda 1 and lambda 2 respectively, and the refracted transverse waves lambda 1 and lambda 2 generate nonlinear resonance effect in the steel rail 1 and generate longitudinal waves lambda 3; the longitudinal wave is reflected by the inner wall of the steel rail 1, and the reflected longitudinal wave lambda 3' returns along the original light path; the reflected longitudinal wave lambda 3' is collected by the ultrasonic receiving transducer 5 and transmits the collected information to the signal collecting device; the temperature detection module 6 detects the surface temperature of the steel rail 1 and transmits a temperature signal to the signal acquisition device.
Preferably, in order to enable the two refracted transverse waves to generate a nonlinear resonance effect inside the steel rail 1 and generate a longitudinal wave, the two refracted transverse waves satisfy an acoustic resonance condition, that is, the following formula is satisfied:wherein the content of the first and second substances,f1for the frequency of the excitation signal, f, generated by the first ultrasonic transmitting transducer 22For the frequency of the excitation signal, f, generated by the second ultrasonic transmitting transducer 42>f1;Is an included angle of two rows of refracted transverse waves; c is the refracted transverse wave velocity and longitudinal wave in the steel rail 1The ratio of the wave velocities. The frequency f can be obtained by the formula back-stepping1And f2。
Preferably, in order to maximize the amplitude of the longitudinal wave signal received by the ultrasonic receiving transducer 5, the distance between the two transparent wedges 3 is limited in this embodiment. The method specifically comprises the following steps: the fixed distance between the two transparent wedges 3 is the spacing distance between the two transparent wedges 3 when the amplitude of the signal received by the ultrasonic receiving transducer 5 is maximum.
Preferably, the angle of the slope of the transparent wedge 3 is limited in this embodiment in order to allow only refracted shear waves to exist in the rail 1. Specifically, the bevel angle of the transparent wedge 3 is between the corresponding critical refraction angles when the excitation signal is incident into the steel rail 1 and the excitation signal generates critical refraction; as can be seen from fig. 1, the angle of the inclined surface of the transparent wedge 3 is θ 1, the incident angle of the excitation signal incident into the steel rail 1 is θ 2, and the two angles are equal to each other. The critical angle of refraction is the angle of incidence at which the angle of refraction is 90 °. Experiments show that when the transparent wedge block 3 is an organic glass wedge block, the incidence angle range corresponding to the critical refraction angle is 27.32-57.36 degrees. Through experiments, as shown in fig. 3, when the slope angle of the transparent wedge 3 is 45 °, the amplitude of the longitudinal wave generated by the nonlinear resonance effect of the two rows of refracted transverse waves is the largest.
It should be noted that: the present embodiment does not relate to structural improvements of the first ultrasonic transmitting transducer 2, the second ultrasonic transmitting transducer 4, the ultrasonic receiving transducer 5, the temperature detection module 6 and the signal acquisition device, and can be implemented by using the prior art, and the description thereof will not be repeated.
The working principle of the embodiment is as follows: the first ultrasonic transmitting transducer 2 and the second ultrasonic transmitting transducer 4 respectively generate excitation signals under the control of a signal acquisition device, and the excitation signals are refracted by the transparent wedge 3 to generate refracted transverse waves; the two paths of refracted transverse waves generate nonlinear resonance effect in the steel rail 1 and generate longitudinal waves; the longitudinal waves are collected by the ultrasonic receiving transducer 5 and collected information is transmitted to the signal collecting device; the temperature detection module 6 detects the surface temperature of the steel rail 1 and transmits a temperature signal to the signal acquisition device.
The beneficial effect of this embodiment does: the first ultrasonic transmitting transducer 2 and the second ultrasonic transmitting transducer 4 are adopted to respectively generate two excitation signals with different frequencies, the two excitation signals are vertically incident to the transparent wedge 3 and generate two rows of refracted transverse waves in the steel rail 1, the two rows of refracted transverse waves generate nonlinear resonance action when being transmitted in the steel rail 1 to generate longitudinal waves, and the longitudinal waves have larger amplitude than the two rows of refracted transverse waves, so that the attenuation of the steel rail 1 to the ultrasonic waves can be slowed down and compensated, the detection range reaches the micron level, the change condition of the early inner part of the steel rail 1 can be detected, the detection resolution is improved, meanwhile, the nonlinear interference brought by experimental equipment in the detection process is eliminated, and the detection accuracy is improved;
the distance between the two transparent wedges 3 and the angle of the inclined plane are limited, so that the amplitude of longitudinal waves generated by the nonlinear resonance action of two rows of refracted transverse waves is maximum.
Example 2
On the basis of embodiment 1, the present embodiment provides a method for accurately measuring the actual locked rail temperature of a jointless track, which specifically includes the following steps:
s1, building the rail temperature locking system in the embodiment 1;
s2, analyzing and calculating the received longitudinal wave and the temperature signal by the signal acquisition device to obtain the temperature of the steel rail and the corresponding ultrasonic nonlinear coefficient at the temperature;
wherein the ultrasound nonlinear coefficient is:A(f1) Is a frequency f1The corresponding magnitude of the amplitude; a (f)2) Is a frequency f2The corresponding magnitude of the amplitude; a (f)1+f2) The amplitude of the longitudinal wave generated by the nonlinear resonance action of the two rows of refracted transverse waves.
S3, drawing a curve of the ultrasonic nonlinear coefficient along with the change of the temperature of the steel rail, adding a steel rail temperature stress correction factor into the curve, and obtaining the actual locked rail temperature of the seamless rail according to the actual steel rail temperature.
Irrespective of rail temperature stressOn the premise that the curve of the ultrasonic nonlinear coefficient changing along with the temperature of the steel rail is a parabola, in practice, the temperature stress of the steel rail always exists and influences the measurement of the actual locking rail temperature, so that the measurement error of the actual locking rail temperature is large. In order to correct the influence of the temperature stress of the steel rail on the measurement, in this embodiment, a steel rail temperature stress correction factor is added to the curve of the ultrasonic nonlinear coefficient varying with the temperature of the steel rail, so that the obtained curve of the ultrasonic nonlinear coefficient varying with the temperature of the steel rail is:wherein k is1Is a quadratic coefficient; k is a radical of2Is a first order coefficient; k is a radical of3Is a constant term; delta is delta1+αT,δ1Other stresses; alpha is the temperature stress coefficient of the steel rail; t is the temperature of the steel rail and is measured by the temperature detection module 6. As shown in fig. 4, the curve of the change of the ultrasonic nonlinear coefficient with the rail temperature after the rail temperature stress correction factor is added is also a parabola, and the inflection point of the parabola is the actual locked rail temperature of the seamless rail.
The beneficial effect of this embodiment does: the method adopts a nonlinear ultrasonic detection method to realize the measurement of the actual locking rail temperature of the seamless line, and improves the detection range and the measurement precision;
the ultrasonic nonlinear coefficient is obtained based on the longitudinal wave generated by the nonlinear resonance effect when two rows of refracted transverse waves are transmitted in the steel rail, and the steel rail temperature stress correction factor is added to the curve of the ultrasonic nonlinear coefficient along with the change of the steel rail temperature, so that the influence of the steel rail temperature stress and the steel rail temperature on the measurement of the actual locked rail temperature can be avoided, and the actual locked rail temperature of the seamless rail can be accurately and nondestructively measured.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like that fall within the spirit and principle of the present invention are intended to be included therein.
Claims (9)
1. The utility model provides a system for accurate measurement jointless quality route actually locks rail temperature which includes temperature detection module (6) and signal pickup assembly, its characterized in that: the ultrasonic wedge block type ultrasonic transducer also comprises a first ultrasonic transmitting transducer (2), a second ultrasonic transmitting transducer (4), an ultrasonic receiving transducer (5) and two transparent wedge blocks (3);
the transparent wedges (3) are provided with inclined planes forming a preset angle with the horizontal direction, a first ultrasonic transmitting transducer (2) or a second ultrasonic transmitting transducer (4) is arranged on each inclined plane, the two transparent wedges (3) are arranged on the same side of the steel rail (1) in a fixed distance, and the inclined plane of any one transparent wedge (3) faces to the direction far away from the other transparent wedge (3); the ultrasonic receiving transducer (5) is arranged on the steel rail (1) at the same side between the two transparent wedges (3); the temperature detection module (6) is arranged on the steel rail (1) on the same side;
the first ultrasonic transmitting transducer (2) and the second ultrasonic transmitting transducer (4) respectively generate excitation signals under the control of a signal acquisition device, and the excitation signals vertically enter the transparent wedge block (3) and are refracted by the transparent wedge block (3) to generate refracted transverse waves; the two paths of refracted transverse waves generate nonlinear resonance effect in the steel rail (1) and generate longitudinal waves; the longitudinal waves are collected by the ultrasonic receiving transducer (5) and collected information is transmitted to the signal collecting device; the temperature detection module (6) detects the surface temperature of the steel rail (1) and transmits a temperature signal to the signal acquisition device;
the first ultrasonic transmitting transducer (2) and the second ultrasonic transmitting transducer (4) are respectively electrically connected with the input end of the signal acquisition device, and the ultrasonic receiving transducer (5) and the temperature detection module (6) are respectively electrically connected with the output end of the signal acquisition device.
2. The system of claim 1, wherein the system is configured to accurately measure the actual locked rail temperature of the seamless rail by: the bevel angle of the transparent wedge block (3) is between the corresponding critical refraction angles when the excitation signal generates critical refraction.
3. The system of claim 2, wherein the system is configured to accurately measure the actual locked rail temperature of the seamless rail by: the bevel angle of the transparent wedge block (3) is between 27.32 and 57.36 degrees.
4. A system for accurately measuring the actual locked rail temperature of a stitchless line as defined in claim 3 wherein: the inclined plane angle of the transparent wedge block (3) is 45 degrees.
5. The system of claim 1, wherein the system is configured to accurately measure the actual locked rail temperature of the seamless rail by: the fixed distance between the two transparent wedges (3) is the spacing distance between the two transparent wedges (3) when the amplitude of a signal received by the ultrasonic receiving transducer (5) is maximum.
6. The system of claim 1, wherein the system is configured to accurately measure the actual locked rail temperature of the seamless rail by: the two paths of refracted transverse waves satisfy an acoustic resonance condition, namely, the following formula is satisfied:
wherein the content of the first and second substances,f1the frequency of the excitation signal generated by the first ultrasonic transmitting transducer (2), f2The frequency of the excitation signal, f, generated for the second ultrasonic transmitting transducer (4)2>f1;Is an included angle of two rows of refracted transverse waves; c is the ratio of the refracted shear wave velocity to the longitudinal wave velocity in the rail (1).
7. A method for accurately measuring the actual locking rail temperature of a seamless line is characterized by comprising the following steps: the method comprises the following steps:
s1, building the locking rail temperature system according to claim 1;
s2, analyzing and calculating the received longitudinal wave and the temperature signal by the signal acquisition device to obtain the temperature of the steel rail and the corresponding ultrasonic nonlinear coefficient at the temperature;
s3, drawing a curve of the ultrasonic nonlinear coefficient along with the change of the temperature of the steel rail, adding a steel rail temperature stress correction factor into the curve, and obtaining the actual locked rail temperature of the seamless rail according to the actual steel rail temperature.
8. The method of claim 7, wherein the step of measuring the actual locked rail temperature of the seamless rail comprises the steps of: the ultrasound nonlinear coefficient in the S2 is as follows:
wherein, A (f)1) The amplitude corresponding to the excitation signal generated by the first ultrasonic transmitting transducer (2); a (f)2) The amplitude corresponding to the excitation signal generated by the second ultrasonic transmitting transducer (4); a (f)1+f2) The amplitude of the longitudinal wave generated by the nonlinear resonance action of the two rows of refracted transverse waves.
9. The method of claim 7, wherein the step of measuring the actual locked rail temperature of the seamless rail comprises the steps of: the curve of the ultrasonic nonlinear coefficient along with the change of the temperature of the steel rail in the S3 is as follows:
wherein k is1Is a quadratic coefficient; k is a radical of2Is a first order coefficient; k is a radical of3Is a constant term; delta is delta1+αT,δ1Other stresses; alpha is the temperature stress coefficient of the steel rail; t is the temperature of the steel rail.
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CN116754091A (en) * | 2023-08-15 | 2023-09-15 | 河北铁达科技有限公司 | Method, device and equipment for detecting rail locking temperature of steel rail |
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CN116754091A (en) * | 2023-08-15 | 2023-09-15 | 河北铁达科技有限公司 | Method, device and equipment for detecting rail locking temperature of steel rail |
CN116754091B (en) * | 2023-08-15 | 2023-10-27 | 河北铁达科技有限公司 | Method, device and equipment for detecting rail locking temperature of steel rail |
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