CN115096429A - Vibration measuring device and method - Google Patents
Vibration measuring device and method Download PDFInfo
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- CN115096429A CN115096429A CN202211015665.0A CN202211015665A CN115096429A CN 115096429 A CN115096429 A CN 115096429A CN 202211015665 A CN202211015665 A CN 202211015665A CN 115096429 A CN115096429 A CN 115096429A
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Abstract
The application provides a vibration measurement device and a method, which relate to the field of vibration measurement, wherein the vibration measurement method comprises the following steps: fixing two lasers on an object to be detected, wherein the two lasers are arranged in an orthogonal direction; arranging two curtain plates outside the object to be detected, wherein the normal directions of the two curtain plates are respectively parallel to the directions of the two lasers, and the two curtain plates are respectively used for receiving light beams of the two lasers to generate light spots; collecting light spot motion tracks on the two curtain plates; and determining the vibration parameters of the object to be detected according to the light spot motion track. The motion amplitude and the reciprocating motion frequency of the light spot can be measured by collecting the motion track of the light spot, the vibration parameter of the light spot is the vibration parameter of the object to be measured, the laser beam generated by the laser and the light spot on the curtain plate, and whether the measurement process and the adopted part have problems or not can be easily judged by an intuitive measurement method, so that the measurement result is more reliable.
Description
Technical Field
The application relates to the technical field of vibration measurement, in particular to a vibration measurement device and method.
Background
The method for generating mechanical vibration of an object is generally simple harmonic vibration, the function of the distance of a mass point on a vibrating object from an origin (the position of the mass point in a static state) with time is generally a sine function or a cosine function, in the prior art, an acceleration sensor measurement method is generally adopted to measure the vibration parameters (generally including amplitude and vibration frequency) of an object to be measured, namely, an acceleration sensor is fixed on the object to be measured and then connected with a computer, the acceleration sensor transmits a detected vibration signal to the computer, and the computer calculates the vibration signal to obtain the vibration parameters of the object to be measured. Although the acceleration sensor is used for measuring the vibration parameters, the measurement precision is high, but the acceleration sensor is usually difficult to find out whether a fault exists or not, so that the reliability of the measurement result is questioned, and therefore a more intuitive measurement method is urgently needed for measuring the object to be measured, and the obtained measurement result is more reliable.
Disclosure of Invention
The application provides a vibration measuring device and method, which can intuitively measure vibration parameters of an object to be measured and improve the reliability of a measuring result.
To achieve the above object, the 1 st aspect of the present application provides a vibration measuring method including the steps of:
fixing two lasers on an object to be detected, wherein the two lasers are arranged in an orthogonal direction;
arranging two curtain plates outside the object to be detected, wherein the normal directions of the two curtain plates are respectively parallel to the directions of the two lasers, and the two curtain plates are respectively used for receiving light beams of the two lasers to irradiate so as to generate light spots;
collecting light spot motion tracks on the two curtain plates;
and determining the vibration parameters of the object to be detected according to the light spot motion track.
In some embodiments of aspect 1, the acquiring the motion tracks of the light spots on the two curtain plates includes:
and establishing a plane rectangular coordinate system XOZ on one of the curtain plates, and establishing a plane rectangular coordinate system YOZ on the other curtain plate, wherein the Z axis is vertical to the orientation of the two lasers.
In some embodiments of aspect 1, the acquiring the motion trajectories of the light spots on the two curtain plates comprises:
establishing a motion trail equation of the light spot according to the formula (1),
F(t)=(X(t),Y(t),Z(t)) （1），
in equation (1), t is a time parameter, f (t) is an equation of the motion trajectory of the light spot, X (t) is a function of the coordinate value of the light spot on the X-axis with time t, Y (t) is a function of the coordinate value of the light spot on the Y-axis with time t, and Z (t) is a function of the coordinate value of the light spot on the Z-axis with time t, wherein the X-axis is parallel to the orientation of one of the lasers and the Y-axis is parallel to the orientation of the other of the lasers.
In some embodiments of aspect 1, the acquiring the motion trajectories of the light spots on the two curtain plates comprises:
and respectively acquiring light spot image information on the two curtain plates by using two image acquisition devices, and transmitting the light spot image information to a processing device for calculation to determine the light spot motion trail equation.
In some embodiments of the aspect 1, the determining a vibration parameter of the object to be measured according to the motion trajectory of the light spot includes:
and determining a maximum coordinate value and a minimum coordinate value of the light spot according to the light spot motion track equation, and determining the amplitude of the object to be detected according to the maximum coordinate value and the minimum coordinate value of the light spot.
In some embodiments of the aspect 1, the determining a vibration parameter of the object to be measured according to the motion trajectory of the light spot includes:
the amplitude is determined according to equation (2),
in formula (2), a is the amplitude, Xmax is the maximum coordinate value of the light spot on the X axis, Ymax is the maximum coordinate value of the light spot on the Y axis, Zmax is the maximum coordinate value of the light spot on the Z axis, Xmin is the minimum coordinate value of the light spot on the X axis, Ymin is the minimum coordinate value of the light spot on the Y axis, and Zmin is the minimum coordinate value of the light spot on the Z axis.
In some embodiments of the aspect 1, the determining a vibration parameter of the object to be measured according to the motion trajectory of the light spot includes:
and determining the light spot round-trip time of the light spot between the maximum light spot coordinate value and the minimum light spot coordinate value according to the light spot motion track equation, and determining the vibration frequency of the object to be detected according to the maximum light spot coordinate value, the minimum light spot coordinate value and the light spot round-trip time.
In some embodiments of the aspect 1, the determining a vibration parameter of the object to be measured according to the motion track of the light spot includes:
determining the vibration frequency according to equation (3),
f=1÷T（3），
in equation (3), f is the vibration frequency, and T is the round trip time of the optical spot.
The 2 nd aspect of the present application provides a vibration measuring device comprising:
the laser device comprises a first laser and a second laser, wherein the first laser and the second laser are used for orthogonally setting and emitting laser beams;
the fixing plate is used for being fixedly arranged on an object to be measured, and the first laser and the second laser are fixed on the fixing plate;
the first curtain plate and the second curtain plate are respectively used for receiving laser beams emitted by the first laser and the second laser and respectively forming light spots on the first curtain plate and the second curtain plate;
the L-shaped transparent plate is used for fixing the first curtain plate and the second curtain plate;
the first image acquisition device and the second image acquisition device are fixed on the L-shaped transparent plate and are respectively used for acquiring light spot image information on the first curtain plate and the second curtain plate;
and the processing device is respectively connected with the first image acquisition device and the second image acquisition device and is used for processing the light spot image information to generate a light spot motion track and determining the vibration parameters of the object to be detected according to the light spot motion track.
In some embodiments of the aspect 2, a rectangular planar coordinate system XOZ is provided on the first curtain plate, a rectangular planar coordinate system YOZ is provided on the second curtain plate, and light holes arranged in a rectangular array are provided on both the first curtain plate and the second curtain plate.
The application has the following beneficial effects:
the laser device is fixed on an object to be measured only by creating orthogonal light beams, generating light spots, collecting light spot motion tracks and determining vibration parameters according to the light spot motion tracks, two curtain plates are arranged outside the object to be measured to receive the light beams, the light spots are formed on the curtain plates, the laser device is driven to move together when the object to be measured vibrates, the light spots move on the curtain plates along with the vibration of the object to be measured to form the light spot motion tracks, the motion amplitude and the reciprocating motion frequency of the light spots can be measured by collecting the motion tracks of the light spots, the motion amplitude of the light spots is the amplitude of the object to be measured, and the reciprocating motion frequency of the light spots is the vibration frequency of the object to be measured. The laser beam generated by the laser can be visually observed, the light spot on the curtain plate can also be visually observed, the curtain plate is arranged outside the object to be measured to avoid the disturbance of the vibration of the object to be measured, and whether the measurement process and the adopted part have problems or not can be easily judged by a visual measurement method, so that the measurement result is more reliable.
Drawings
In order to more clearly illustrate the embodiments of the present application or the technical solutions in the prior art, the drawings needed to be used in the description of the embodiments or the prior art will be briefly described below, and it is obvious that the drawings in the following description are some embodiments of the present application, and other drawings can be obtained by those skilled in the art without creative efforts.
FIG. 1 is a schematic flow chart of a vibration measurement method in an embodiment of the present application;
FIG. 2 is a top view of a vibration measuring device in an embodiment of the present application;
FIG. 3 is a front view of a vibration measuring device in an embodiment of the present application;
FIG. 4 is a left side view of the vibration measuring device in the embodiment of the present application;
FIG. 5 is a schematic structural diagram of a first curtain plate in an embodiment of the present application;
FIG. 6 is a schematic structural diagram of a second curtain plate in the embodiment of the present application;
FIG. 7 is a schematic structural diagram of a light spot passing through a through hole on a first curtain plate according to an embodiment of the present disclosure;
FIG. 8 is a schematic structural diagram of a light spot moving on a first curtain plate to a maximum coordinate value in the embodiment of the present application;
fig. 9 is a schematic diagram of an image structure of the motion tracks of the light spots on X, Y, Z axes respectively in the embodiment of the present application;
FIG. 10 is a schematic structural diagram of an equation image of a motion locus of a light spot in an embodiment of the present application;
fig. 11 is a schematic structural diagram of the principle of determining the vibration parameter according to the light spot motion trajectory equation in the embodiment of the present application.
Reference numerals:
100. an object to be measured; 200. a fixing plate; 310. a first laser; 320. a second laser; 410. a first curtain plate; 420. a second curtain plate; 500. an L-shaped transparent plate; 610. a first image acquisition device; 620. a second image acquisition device; 700. a computer; 800. and a through hole.
Detailed Description
Embodiments of the present application will now be described in further detail with reference to the drawings and examples, and the terminology used in the description of the embodiments of the present application is for the purpose of describing particular embodiments of the present application only and is not intended to be limiting of the application.
As shown in fig. 1, in embodiment 1 of the present application, there is provided a vibration measurement method including the steps of:
creating an orthogonal light beam, and fixing two lasers on the object to be detected 100, wherein the two lasers are arranged in an orthogonal direction;
generating light spots, wherein two curtain plates are arranged outside the object to be detected 100, the normal directions of the two curtain plates are respectively parallel to the directions of the two lasers, and the two curtain plates are respectively used for receiving light beams of the two lasers to irradiate so as to generate the light spots;
collecting light spot motion tracks on the two curtain plates;
and determining the vibration parameters of the object 100 to be measured according to the light spot motion track.
The laser device is orthogonally fixed on the object 100 to be detected only by creating orthogonal light beams, generating light spots, collecting light spot motion tracks and determining vibration parameters according to the light spot motion tracks, two curtain plates are arranged outside the object 100 to be detected to receive the light beams, the light spots are formed on the curtain plates, the laser device is driven to move together when the object 100 to be detected vibrates, the light spots move on the curtain plates along with the vibration of the object 100 to be detected to form the light spot motion tracks, the motion amplitude and the reciprocating motion frequency of the light spots can be measured by collecting the motion tracks of the light spots, the motion amplitude of the light spots is the amplitude of the object 100 to be detected, and the reciprocating motion frequency of the light spots is the vibration frequency of the object 100 to be detected. The laser beam generated by the laser can be visually observed, the light spot on the curtain plate can also be visually observed, the curtain plate is arranged outside the object 100 to be measured to avoid the disturbance of the vibration of the object 100 to be measured (the curtain plate is in a static state), and whether the problems exist in the measuring process and the adopted components can be easily judged by a visual measuring method, so that the measuring result is more reliable.
In some embodiments of example 1, as shown in fig. 2 to fig. 11, the acquiring the motion tracks of the light spots on the two curtain plates includes:
a rectangular plane coordinate system XOZ (shown in fig. 5) is established on one of the sheets, and a rectangular plane coordinate system YOZ (shown in fig. 6) is established on the other sheet, with the Z-axis perpendicular to the orientation of the two lasers.
In some embodiments of example 1, the acquiring the motion tracks of the light spots on the two curtain plates includes:
establishing a motion trail equation of the light spot according to the formula (1),
F(t)=(X(t),Y(t),Z(t)) （1），
in equation (1), t is a time parameter, f (t) is an equation of the motion trajectory of the light spot, X (t) is a function of the coordinate value of the light spot on the X-axis with time t, Y (t) is a function of the coordinate value of the light spot on the Y-axis with time t, and Z (t) is a function of the coordinate value of the light spot on the Z-axis with time t, wherein the X-axis is parallel to the orientation of one of the lasers and the Y-axis is parallel to the orientation of the other of the lasers.
In some embodiments of example 1, the acquiring the motion tracks of the light spots on the two curtain plates includes:
and respectively acquiring light spot image information on the two curtain plates by using two image acquisition devices, and transmitting the light spot image information to a processing device for calculation to determine the light spot motion trail equation.
Through the above embodiment, by collecting the image information of the light spot on the first curtain plate 410 and the second curtain plate 420 respectively, the images of the light spot motion trajectory on X, Y, Z axes respectively are established (as shown in fig. 9), and the light spot motion trajectory equation is determined according to the function of the coordinate value of the light spot on the X axis with time t, the function of the coordinate value of the light spot on the Y axis with time t, and the function of the coordinate value of the light spot on the Z axis with time t.
In some embodiments of example 1, the determining the vibration parameter of the object 100 to be measured according to the motion trajectory of the light spot includes:
and determining a maximum coordinate value and a minimum coordinate value of the light spot according to the light spot motion track equation, and determining the amplitude of the object to be detected 100 according to the maximum coordinate value and the minimum coordinate value of the light spot.
As shown in fig. 10 and 11, the maximum light spot coordinate value is a peak vertical coordinate (vertical coordinate is a coordinate value on coordinate axis f (T)) of the light spot motion trajectory equation image, the minimum light spot coordinate value is a valley vertical coordinate of the light spot motion trajectory equation image, when the object 100 to be measured is at rest, the position of the template is adjusted to make the light spot be located on an origin O of a planar rectangular coordinate system on the template, the object 100 to be measured makes simple harmonic motion in the vibration process, a waveform diagram of the vibration is a sine curve or a cosine curve, the maximum light spot coordinate value is denoted as a, the minimum light spot coordinate value is denoted as-a, the amplitude is a, and the light spot round-trip time length is a vibration period T.
In some embodiments of example 1, the determining the vibration parameter of the object 100 to be measured according to the motion trajectory of the light spot includes:
the amplitude is determined according to equation (2),
in formula (2), a is the amplitude, Xmax is the maximum coordinate value of the light spot on the X axis, Ymax is the maximum coordinate value of the light spot on the Y axis, Zmax is the maximum coordinate value of the light spot on the Z axis, Xmin is the minimum coordinate value of the light spot on the X axis, Ymin is the minimum coordinate value of the light spot on the Y axis, and Zmin is the minimum coordinate value of the light spot on the Z axis.
Through the above embodiment, the positive amplitudes of the object 100 to be measured on the X, Y, Z axis are Xmax, Ymax, Zmax, respectively, and the negative amplitudes of the object 100 to be measured on the X, Y, Z axis are Xmin, Ymin, Zmin, respectively, and as can be seen from the distance formula between two points in space, the distance between the position of the light spot at the maximum coordinate value of the light spot and the position of the light spot at the minimum coordinate value of the light spot is Xmax, Ymax, Zmin, respectively
，
The amplitude is half of this distance:
in some embodiments of example 1, the determining the vibration parameter of the object 100 to be measured according to the motion trajectory of the light spot includes:
and determining the light spot round-trip time length of the light spot between the maximum light spot coordinate value and the minimum light spot coordinate value according to the light spot motion trajectory equation, and determining the vibration frequency of the object to be detected 100 according to the maximum light spot coordinate value, the minimum light spot coordinate value and the light spot round-trip time length.
With the above embodiment, the distance between the maximum coordinate value of the light spot and the minimum coordinate value of the light spot, that is, the peak and the trough, along the axis f (t) is relatively large, so that it is convenient to visually observe through the light spot images on the first curtain plate 410 and the second curtain plate 420 to determine whether the oscillogram displayed on the computer 700 is suspicious, it should be understood that the accuracy of the light spot images (observed by naked eyes) directly observed on the first curtain plate 410 and the second curtain plate 420 is relatively low, and it is intended to qualitatively determine whether the computer 700 is obviously calculated by mistake, and this verification method is difficult to observe the vibration frequency (the vibration is too fast to be clearly seen), and only the amplitudes on the X, Y, Z axes are roughly observed, and the amplitudes are synthesized to the three-dimensional space and then compared with the oscillogram displayed in the computer 700, if there is phase reversal or too large difference, it is indicated that the computer 700 is calculated by mistake, and it may be a failure of the image acquisition device, otherwise, the result of the measurement is reliable.
In some embodiments of example 1, the determining the vibration parameter of the object 100 to be measured according to the motion trajectory of the light spot includes:
determining the vibration frequency according to equation (3),
f=1÷T（3），
in equation (3), f is the vibration frequency, and T is the round trip time of the optical spot.
In embodiment 2 of the present application, there is provided a vibration measuring device including:
a first laser 310 and a second laser 320 for orthogonally arranging and emitting laser beams;
the fixing plate 200 is used for being fixedly installed on the object 100 to be measured, and the first laser 310 and the second laser 320 are fixed on the fixing plate 200;
a first curtain plate 410 and a second curtain plate 420 for receiving the laser beams emitted by the first laser 310 and the second laser 320, respectively, and forming light spots on the first curtain plate 410 and the second curtain plate 420, respectively;
an L-shaped transparent plate 500 for fixing the first curtain plate 410 and the second curtain plate 420;
the first image acquisition device 610 and the second image acquisition device 620 are fixed on the L-shaped transparent plate 500 and are respectively used for acquiring light spot image information on the first curtain plate 410 and the second curtain plate 420;
and the processing device is respectively connected with the first image acquisition device 610 and the second image acquisition device 620, and is configured to process the light spot image information to generate a light spot motion track, and determine a vibration parameter of the object 100 to be detected according to the light spot motion track.
In some embodiments of embodiment 2, a rectangular plane coordinate system XOZ is provided on the first curtain plate 410, a rectangular plane coordinate system YOZ is provided on the second curtain plate 420, and light holes arranged in a rectangular array are provided on both the first curtain plate 410 and the second curtain plate 420.
Through the above embodiment, the L-shaped transparent plate 500 is a transparent acrylic plate, the first curtain plate 410 and the second curtain plate 420 are made of aluminum foil (good light shielding property to avoid the collection of light spots diluted by natural light), the first image capturing device 610 and the second image capturing device 620 are cameras, the first curtain plate 410 is disposed on the inner side of the L-shaped transparent plate 500, the first image capturing device 610 is disposed on the outer side of the L-shaped transparent plate 500 and the lens is aligned with the first curtain plate 410, the second curtain plate 420 is disposed on the inner side of the L-shaped transparent plate 500, the second image capturing device 620 is disposed on the outer side of the L-shaped transparent plate 500 and aligned with the second curtain plate 420 (as shown in fig. 2), the cameras obtain light spot images penetrating through the through holes 800 in multiple periods through long-time exposure, or a high-speed camera is used for high-frequency shooting, and the computer 700 stacks all the photos to obtain the light spot composite image in a plurality of periods. The pitch of the through holes 800 is set to be equal to the diameter of the through holes 800, for example, 0.5 mm, the amplitude measurement error is 0.5 mm, the collected image is actually light spots, and the waveform diagram displayed on the computer 700 is a smooth curve formed by connecting coordinate points corresponding to the light spots in series by using a spline curve. The measurement of the frequency requires the computer 700 to calculate the image gray scale, for example, when the camera is exposed for a long time, the gray scale of the image formed on the photosensitive element through the through hole 800 becomes lighter (gradually brighter) each time the light spot passes through the same through hole 800, for example, the calculated initial gray scale is 80%, the time is t1, the light spot passes through the through hole 800 again, the gray scale becomes 60%, the time is t2, and the time difference t0= t2-t1 from the gray scale of 80% to the gray scale of 60% is the round trip time length of the light spot.
The characteristic indicated by the lead S in fig. 7 and 8 is a light spot.
In the parameters mentioned in this application, time (e.g.T, T1, T2, T0) is given in seconds, length (e.g.A, X (T), Y (T), Z (T), F (T)) is given in millimeters and frequency (e.g.f) is given in Hertz.
The above examples are only for explaining the present application and are not intended to limit the present application, and those skilled in the art can make modifications to the embodiments of the present application without inventive contribution as needed after reading the present specification, but are protected by patent laws within the scope of the claims of the present application.
Claims (10)
1. A vibration measurement method, comprising the steps of:
fixing two lasers on an object to be detected, wherein the two lasers are arranged in an orthogonal direction;
arranging two curtain plates outside the object to be detected, wherein the normal directions of the two curtain plates are respectively parallel to the directions of the two lasers, and the two curtain plates are respectively used for receiving light beams of the two lasers to irradiate so as to generate light spots;
collecting light spot motion tracks on the two curtain plates;
and determining the vibration parameters of the object to be detected according to the light spot motion track.
2. The vibration measurement method according to claim 1, wherein the acquiring the motion tracks of the light spots on the two curtain plates comprises:
and establishing a plane rectangular coordinate system XOZ on one of the curtain plates, and establishing a plane rectangular coordinate system YOZ on the other curtain plate, wherein the Z axis is vertical to the orientation of the two lasers.
3. The vibration measurement method according to claim 2, wherein the acquiring the motion tracks of the light spots on the two curtain plates comprises:
establishing a motion track equation of the light spot according to the formula (1),
F(t)=(X(t),Y(t),Z(t)) （1），
in equation (1), t is a time parameter, f (t) is an equation of the motion trajectory of the light spot, X (t) is a function of the coordinate value of the light spot on the X-axis with time t, Y (t) is a function of the coordinate value of the light spot on the Y-axis with time t, and Z (t) is a function of the coordinate value of the light spot on the Z-axis with time t, wherein the X-axis is parallel to the orientation of one of the lasers and the Y-axis is parallel to the orientation of the other of the lasers.
4. The vibration measurement method according to claim 3, wherein the acquiring the motion tracks of the light spots on the two curtain plates comprises:
and respectively acquiring light spot image information on the two curtain plates by using two image acquisition devices, and transmitting the light spot image information to a processing device for calculation to determine the light spot motion trail equation.
5. The vibration measurement method according to claim 4, wherein the determining the vibration parameter of the object to be measured according to the motion track of the light spot comprises:
and determining a maximum light spot coordinate value and a minimum light spot coordinate value according to the light spot motion track equation, and determining the amplitude of the object to be detected according to the maximum light spot coordinate value and the minimum light spot coordinate value.
6. The vibration measurement method according to claim 5, wherein the determining the vibration parameter of the object to be measured according to the motion track of the light spot comprises:
determining the amplitude according to equation (2),
in formula (2), a is the amplitude, Xmax is the maximum coordinate value of the light spot on the X axis, Ymax is the maximum coordinate value of the light spot on the Y axis, Zmax is the maximum coordinate value of the light spot on the Z axis, Xmin is the minimum coordinate value of the light spot on the X axis, Ymin is the minimum coordinate value of the light spot on the Y axis, and Zmin is the minimum coordinate value of the light spot on the Z axis.
7. The vibration measurement method according to claim 6, wherein the determining the vibration parameter of the object to be measured according to the motion track of the light spot comprises:
and determining the light spot round-trip time of the light spot between the maximum light spot coordinate value and the minimum light spot coordinate value according to the light spot motion track equation, and determining the vibration frequency of the object to be detected according to the maximum light spot coordinate value, the minimum light spot coordinate value and the light spot round-trip time.
8. The vibration measurement method according to claim 7, wherein the determining the vibration parameter of the object to be measured according to the motion track of the light spot comprises:
determining the vibration frequency according to equation (3),
f=1÷T（3），
in the formula (3), f is the vibration frequency, and T is the round-trip time length of the light spot.
9. A vibration measuring device, comprising:
a first laser and a second laser for orthogonally setting and emitting laser beams;
the fixing plate is used for being fixedly arranged on an object to be measured, and the first laser and the second laser are fixed on the fixing plate;
the first curtain plate and the second curtain plate are respectively used for receiving laser beams emitted by the first laser and the second laser and respectively forming light spots on the first curtain plate and the second curtain plate;
the L-shaped transparent plate is used for fixing the first curtain plate and the second curtain plate;
the first image acquisition device and the second image acquisition device are fixed on the L-shaped transparent plate and are respectively used for acquiring light spot image information on the first curtain plate and the second curtain plate;
and the processing device is respectively connected with the first image acquisition device and the second image acquisition device and is used for processing the light spot image information to generate a light spot motion track and determining the vibration parameters of the object to be detected according to the light spot motion track.
10. The vibration measuring device according to claim 9, wherein the first curtain plate is provided with a rectangular planar coordinate system XOZ, the second curtain plate is provided with a rectangular planar coordinate system YOZ, and the first curtain plate and the second curtain plate are provided with light holes arranged in a rectangular array.
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| CN116399440A (en) * | 2023-06-08 | 2023-07-07 | 中国船舶集团有限公司第七一九研究所 | Propeller vibration measuring device and method |
| CN117664846A (en) * | 2023-11-17 | 2024-03-08 | 暨南大学 | Rolling type friction meter for road surface anti-skid performance |
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| EP1496343A2 (en) * | 2003-07-08 | 2005-01-12 | Holger Dipl.-Ing. Wente | Method and device for recording the motion of reference points on vibrating structures |
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| CN102967263A (en) * | 2012-12-03 | 2013-03-13 | 中铁大桥局集团武汉桥梁科学研究院有限公司 | Bridge deflection-corner integrated measurement method |
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