Lissajous optical fiber scanner with combined cylindrical body

By adjusting the structure and dimensional parameters of the upper side plate of the combined cylindrical body, the problem of vibration coupling effect of Lissajous scanner was solved, achieving efficient scanning effect and improved yield.

CN223883850UActive Publication Date: 2026-02-06CHENGDU IDEALSEE TECH
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Patent Information

Application Number
CN202520587711.7
Authority / Receiving Office
CN · China
Patent Type
Utility models(China)
Current Assignee / Owner
Filing Date
2024-12-30
Publication Date
2026-02-06
Estimated Expiration
2034-12-30

AI Technical Summary

Technical Problem

When the natural frequencies used by a Lissajous scanner in two directions are close, vibration coupling effects are likely to occur, leading to distortion of the scanning trajectory and making it difficult to guarantee processing accuracy and yield.

Method used

Design a Lissajous fiber optic scanner with a combined cylindrical body. By adjusting the shape and size parameters of the upper side plate, the natural frequencies of the combined part in the horizontal and vertical directions meet specific difference requirements, avoiding vibration coupling. At the same time, the rigidity of the support column is used to isolate vibration interference, reducing the processing difficulty and accuracy requirements.

Benefits of technology

It achieves a uniform and dense scanning grid in two directions, reducing the processing difficulty and accuracy requirements, and improving the yield and processing efficiency.

✦ Generated by Eureka AI based on patent content.

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Abstract

The utility model discloses a Lissajous optical fiber scanner with a combined cylindrical body, which comprises a cylindrical body and an optical fiber, the cylindrical body comprises supporting columns arranged at four corners and four side plates connected with any two adjacent supporting columns, the rear half part of the upper side plate, the four supporting columns and the other three side plates form a cylindrical coincident part, and the cylindrical coincident part is arranged on the upper half part of the upper side plate. At least one of the left side and the right side of the cylindrical overlapping part is provided with a first piezoelectric plate, at least one of the upper side and the lower side of the cylindrical overlapping part is provided with a second piezoelectric plate, and the upper side plate enables the inherent frequency of the combination part in the horizontal direction to be larger than the inherent frequency of the same order of the combination part in the vertical direction. The vibration frequencies of the combination part in the two directions meet the requirements of Lissajous scanning working conditions by adjusting the appearance structure and / or size parameters of the upper side plate, so that the cylindrical body is low in machining difficulty, machining errors are easy to control, and the yield is high.
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Description

[0001] This application is a divisional application of the Chinese patent application No. 2024232650163, filed on December 30, 2024, with the State Intellectual Property Office of the People's Republic of China, and entitled "Lissajous Fiber Scanner with Combined Cylinder Body", the entire contents of which are incorporated herein by reference. TECHNICAL FIELD

[0002] The present application relates to the technical field of fiber scanner structure, in particular to a Lissajous fiber scanner with a combined cylinder body. BACKGROUND

[0003] A fiber scanner is a display technology that uses a scanning driver to control the swing of a fiber while the fiber emits light. It is mainly used in the technical fields of fiber scanning display technology, fiber scanning endoscope technology, fiber scanning radar, etc. When the fiber scanner is applied to image display, the color of the pattern illuminated by this technology is sharp and saturated, the contrast is high, the brightness is high, and the structure is very small.

[0004] A fiber scanner uses the principle of mechanical resonance to make the fiber cantilever achieve a large scanning range. The scanning method of the scanning driver can be divided into spiral scanning, grid scanning, and Lissajous scanning. The micro piezoelectric scanning device of Lissajous scanning generally has two driving parts that drive the scanning device to vibrate in two directions simultaneously. The closer the driving frequencies of the two directions in Lissajous scanning, the closer the uniformity (density) of the scanning grid in the two directions. In theory, the closer the driving frequencies of the two directions, the better. However, the closer the inherent frequencies used in the two directions of the scanner, the more obvious the vibration coupling effect, which can worsen the scanning trajectory and cause uncontrolled components in the scanning trajectory, resulting in distortion of the scanning image, which is difficult to completely eliminate through post-processing. Therefore, the inherent frequencies used in the two directions of the Lissajous scanner should have a precise difference range, neither too small to cause coupling effect, nor too large to cause non-uniformity.

[0005] However, processing a Lissajous scanner with a precise difference in inherent frequencies used in the two directions requires extremely high processing precision, and both the cost of processing equipment and the yield cannot be guaranteed. Practical new type content

[0006] The present application provides a Lissajous fiber scanner with a combined cylinder body to reduce the processing difficulty and improve the processing yield.

[0007] In order to achieve the above application purposes, the application provides a Lissajous fiber scanner with a combined barrel body, which comprises a barrel body and a fiber, the axial extension direction of the barrel body is the front-rear direction, the rear end of the barrel body is fixedly connected with a base to be supported by the base, the barrel body comprises support columns separately arranged at four corners and four side plates connecting any two adjacent support columns, the length of the upper side plate located at the upper side in the front-rear direction is longer than the lengths of the other three side plates, the rear half of the upper side plate is surrounded by the four support columns and the other three side plates to form a barrel coincident part, the fiber is fixedly arranged at the front end of the upper side plate in a cantilever support manner, at least one side of the left and right sides of the barrel coincident part is provided with a first piezoelectric sheet, the front end of the barrel body is driven to vibrate left and right in the horizontal direction by the expansion and contraction of the first piezoelectric sheet, at least one side of the upper and lower sides of the barrel coincident part is provided with a second piezoelectric sheet, the front end of the barrel body is driven to vibrate in the vertical direction by the expansion and contraction of the second piezoelectric sheet, the upper side plate makes the inherent frequency of the combined part composed of the barrel body, the first piezoelectric sheet, the second piezoelectric sheet and the fiber in the horizontal direction greater than the same order inherent frequency of the combined part in the vertical direction, and makes the combined part in the vertical direction have a difference between a certain order inherent frequency closest to the V order inherent frequency in the horizontal direction and the V order inherent frequency in the horizontal direction, V is an integer greater than or equal to 1.

[0008] The combined part has a first order inherent frequency, a second order inherent frequency, a third order inherent frequency, …, and an N order inherent frequency in the vertical direction, wherein the inherent frequency of a certain order (for example, U order, U is an integer greater than or equal to two) is closest to the V order inherent frequency in the horizontal direction (V is less than U), the closer the driving frequencies of the two directions in the Lissajous scanning, the closer the uniformity (density) of the scanning grid in the two directions, the more the number of points, and theoretically the closer the driving frequencies of the two directions, the better, but the closer the inherent frequencies of the combined part used in the two directions, the more obvious the coupling effect, so the application adjusts the shape structure and / or size parameters of the upper side plate to make the inherent frequencies of the combined part used in the two directions meet the requirements of the Lissajous scanning condition, ensure good scanning effect, and have a uniform and dense scanning grid, and at the same time have a sufficient difference, so that the vibration of the combined part in the two directions will not be coupled.

[0009] Meanwhile, the rigidity of the support column is greater than that of the side plate, and the arrangement can isolate the mutual deformation interference of the side plates vibrating in the horizontal direction and the side plates vibrating in the vertical direction, and improve the scanning accuracy.

[0010] The difference satisfies that when the combination part is driven by the driving signal to perform Lissajous scanning, the vibration of the combination part in the horizontal direction and the vibration of the combination part in the vertical direction do not generate coupling.

[0011] Generally, the difference ranges from 10 Hz to 12 KHz. Further preferably, the difference ranges from 1 KHz to 10 KHz. The value is selected according to the V-order natural frequency of the scanner cantilever in the horizontal direction, as long as the difference satisfies that when the piezoelectric actuator is driven to perform Lissajous scanning, the scanner cantilever has sufficient amplitude, and the vibration of the scanner cantilever in the horizontal direction and the vibration of the scanner cantilever in the vertical direction do not generate coupling. For those skilled in the art, numerical selection according to the above description is a conventional technical means in the art.

[0012] Optionally, any one side of the left and right sides of the cylindrical coincident part is provided with a first piezoelectric sheet, and the front end of the cylindrical coincident part is driven to vibrate left and right in the horizontal direction by the expansion and contraction of the first piezoelectric sheet. The number of first piezoelectric sheets can be one, two or more. When the number of first piezoelectric sheets is two or more, each first piezoelectric sheet synchronously and equally expands and contracts.

[0013] Optionally, both sides of the left and right sides of the cylindrical coincident part are provided with first piezoelectric sheets, and the first piezoelectric sheet on the left side and the first piezoelectric sheet on the right side synchronously and oppositely expand and contract equally, and drive the front end of the cylindrical coincident part to vibrate left and right in the horizontal direction. The number of first piezoelectric sheets on the same side can be one, two or more. When the number of first piezoelectric sheets on the same side is two or more, the first piezoelectric sheets on the same side synchronously and equally expand and contract.

[0014] Optionally, any one side of the upper and lower sides of the cylindrical coincident part is provided with a second piezoelectric sheet, and the front end of the cylindrical coincident part is driven to vibrate up and down in the vertical direction by the expansion and contraction of the second piezoelectric sheet. The number of second piezoelectric sheets can be one, two or more. When the number of second piezoelectric sheets is two or more, the second piezoelectric sheets synchronously and equally expand and contract.

[0015] Optionally, both sides of the upper and lower sides of the cylindrical coincident part are provided with second piezoelectric sheets, and the second piezoelectric sheet on the upper side and the second piezoelectric sheet on the lower side synchronously and oppositely expand and contract equally, and drive the front end of the cylindrical coincident part to vibrate up and down in the vertical direction. The number of second piezoelectric sheets on the same side can be one, two or more. When the number of second piezoelectric sheets on the same side is two or more, the second piezoelectric sheets on the same side synchronously and equally expand and contract.

[0016] Preferably, the surface of the cylindrical coincident part provided with the first piezoelectric sheet or the second piezoelectric sheet is a plane, so as to facilitate the arrangement of the piezoelectric sheet. Further optionally, the surface of the cylindrical coincident part provided with the first piezoelectric sheet or the second piezoelectric sheet can be the inner surface of the cylindrical coincident part, or the outer surface of the cylindrical coincident part.

[0017] Further preferably, when the first piezoelectric sheet is arranged on both left and right sides of the barrel-shaped coincident part, the first piezoelectric sheets on both left and right sides of the barrel-shaped coincident part are symmetrically arranged to drive the barrel-shaped coincident part to accurately vibrate left and right in the horizontal direction without generating a displacement component in the vertical direction; when the second piezoelectric sheet is arranged on both upper and lower sides of the barrel-shaped coincident part, the second piezoelectric sheets on both upper and lower sides of the barrel-shaped coincident part are symmetrically arranged to drive the barrel-shaped coincident part to accurately vibrate in the vertical direction without generating a displacement component in the horizontal direction.

[0018] The one or more technical solutions in the application have at least the following technical effects or advantages:

[0019] The application makes the piezoelectric actuating part of the Lissajous scanner itself not necessarily have a specific difference in the inherent frequency in the two driving directions, and also avoids coupling of vibration in the two driving directions, thereby reducing the processing difficulty and the requirement for processing precision. The application uses adjustment of the upper side plate shape structure and / or size parameter to make the combined part have vibration frequencies in two directions meeting the Lissajous scanning working condition requirement, thereby reducing the processing size and precision requirement of the barrel-shaped body, making the barrel-shaped body have low processing difficulty, the processing error easy to control, and high yield, and making the processing efficiency and yield significantly improved. BRIEF DESCRIPTION OF DRAWINGS

[0020] Figure 1 It is a structural schematic diagram of the application;

[0021] Figure 2 It is Figure 1 It is a front view structural schematic diagram of the barrel-shaped body of the embodiment shown in the figure. DETAILED DESCRIPTION

[0022] The technical solutions in the embodiments of the application will be clearly and completely described below with reference to the drawings in the embodiments of the application. Obviously, the described embodiments are only a part of the embodiments of the application, rather than all the embodiments of the application. Based on the embodiments in the application, all other embodiments obtained by those skilled in the art without creative labor fall within the scope of protection of the application.

[0023] Embodiment:

[0024] Combined Figure 1 , Figure 2 As shown in the figure, a Lissajous optical fiber scanner with a combined barrel-shaped body includes a barrel-shaped body and an optical fiber 104,

[0025] The axis extension direction of the barrel-shaped body is the front-rear direction, the rear end of the barrel-shaped body is fixedly connected with the base 200 to be supported by the base 200,

[0026] The cylinder body comprises four support columns 105 arranged at four corners and four side plates 106 connecting any two adjacent support columns 105, and an upper side plate 107 arranged at the upper side and having a length in the front-rear direction longer than that of the other three side plates 106,

[0027] The rear half of the upper side plate 107 is surrounded by the four support columns 105 and the other three side plates 106 to form a cylinder coincident part, and the optical fiber 104 is fixedly arranged at the front end of the upper side plate 107 in a cantilever support manner,

[0028] At least one side of the left and right sides of the cylinder coincident part is provided with a first piezoelectric sheet 101, and the front end of the cylinder body is driven to vibrate left and right in the horizontal direction by the expansion and contraction of the first piezoelectric sheet 101,

[0029] At least one side of the upper and lower sides of the cylinder coincident part is provided with a second piezoelectric sheet 102, and the front end of the cylinder body is driven to vibrate in the vertical direction by the expansion and contraction of the second piezoelectric sheet 102,

[0030] The upper side plate 107 is configured such that the natural frequency of the combined part of the cylinder body, the first piezoelectric sheet 101, the second piezoelectric sheet 102 and the optical fiber 104 in the horizontal direction is greater than the same order natural frequency of the combined part in the vertical direction, and the combined part in the vertical direction has a difference between a certain order natural frequency closest to the V order natural frequency in the horizontal direction and the V order natural frequency in the horizontal direction, and V is an integer greater than or equal to 1.

[0031] The combined part has a first order natural frequency, a second order natural frequency, a third order natural frequency, …, and an N order natural frequency in the vertical direction, and there is a certain order (for example, U order, U is an integer greater than or equal to two) of the natural frequency closest to the V order natural frequency of the combined part in the horizontal direction (V is less than U). The closer the driving frequencies in the two directions in the Lissajous scan, the closer the uniformity (density) of the scan grid in the two directions, and the more the number of points. In theory, the closer the driving frequencies in the two directions, the better. However, the closer the natural frequencies used by the combined part in the two directions, the more obvious the coupling effect. Therefore, the application adjusts the shape and / or size parameters of the upper side plate 107 to make the natural frequencies of the combined part used in the two directions close enough to ensure good scanning effect and have a uniform and dense scanning grid, and at the same time have a sufficient difference to prevent the vibration of the combined part in the two directions from being coupled. Therefore, the application adjusts the shape and / or size parameters of the upper side plate 107 to make the vibration frequencies of the combined part in the two directions meet the Lissajous scanning working condition requirements, reduces the processing size and precision requirements of the cylinder body, makes the cylinder body processing difficult, and the processing error is easy to control, and the yield is high.

[0032] Meanwhile, the rigidity of the support column 105 is greater than the rigidity of the side plate 106, and the setting can isolate the mutual deformation interference of the side plate 106 for horizontal vibration and the side plate 106 for vertical vibration, and improve the scanning accuracy.

[0033] In the embodiment, the V order is the first order, and the U order is the second order. Of course, this is only the parameter selection of the embodiment, and in other embodiments of the similar structure type of the embodiment, V can also be selected as an integer greater than 1, and U is selected as an integer greater than V.

[0034] The difference satisfies that when the combination part is driven by the driving signal to perform Lissajous scanning, the vibration of the combination part in the horizontal direction and the vibration of the combination part in the vertical direction do not generate coupling.

[0035] Generally, the difference is in the range of 10 Hz to 12 KHz. Further preferably, the difference is in the range of 1 KHz to 10 KHz. The value is selected according to the selected V order natural frequency of the scanner cantilever in the horizontal direction, as long as the difference satisfies that when the piezoelectric actuator is driven to perform Lissajous scanning, the scanner cantilever has sufficient amplitude, and the vibration of the scanner cantilever in the horizontal direction and the vibration of the scanner cantilever in the vertical direction do not generate coupling. For those skilled in the art, numerical selection according to the above description is a conventional technical means in the art.

[0036] Optionally, any one side of the left and right sides of the cylindrical coincidence part is provided with a first piezoelectric sheet 101, and the front end of the cylindrical coincidence part is driven to vibrate left and right in the horizontal direction by the expansion and contraction of the first piezoelectric sheet 101. The number of first piezoelectric sheets 101 can be one, two or more. When the number of first piezoelectric sheets 101 is two or more, each first piezoelectric sheet 101 synchronously and equally expands and contracts.

[0037] Optionally, the left and right sides of the cylindrical coincidence part are both provided with first piezoelectric sheets 101, and the first piezoelectric sheet 101 on the left side and the first piezoelectric sheet 101 on the right side synchronously and reversely expand and contract equally to drive the front end of the cylindrical coincidence part to vibrate left and right in the horizontal direction. The number of first piezoelectric sheets 101 on the same side can be one, two or more. When the number of first piezoelectric sheets 101 on the same side is two or more, the first piezoelectric sheets 101 on the same side synchronously and equally expand and contract.

[0038] Optionally, any one side of the upper and lower sides of the cylindrical coincidence part is provided with a second piezoelectric sheet 102, and the front end of the cylindrical coincidence part is driven to vibrate up and down in the vertical direction by the expansion and contraction of the second piezoelectric sheet 102. The number of second piezoelectric sheets 102 can be one, two or more. When the number of second piezoelectric sheets 102 is two or more, the second piezoelectric sheets 102 synchronously and equally expand and contract.

[0039] Optionally, the second piezoelectric sheet 102 is arranged on the upper and lower sides of the cylindrical coincident part, the second piezoelectric sheet 102 arranged on the upper side and the second piezoelectric sheet 102 arranged on the lower side synchronously and reversely stretch and contract in the same length, driving the front end of the cylindrical coincident part to vibrate up and down in the vertical direction. The number of the second piezoelectric sheet 102 arranged on the same side can be one, two or more. When the number of the second piezoelectric sheet 102 arranged on the same side is two or more, the second piezoelectric sheet 102 arranged on the same side synchronously stretch and contract in the same length.

[0040] Preferably, the surface of the first piezoelectric sheet 101 or the second piezoelectric sheet 102 arranged on the cylindrical coincident part is a plane, so as to facilitate the arrangement of the piezoelectric sheet. Further optionally, the surface of the first piezoelectric sheet 101 or the second piezoelectric sheet 102 arranged on the cylindrical coincident part can be the inner surface of the cylindrical coincident part or the outer surface of the cylindrical coincident part.

[0041] Further preferably, when the first piezoelectric sheet 101 is arranged on the left and right sides of the cylindrical coincident part, the first piezoelectric sheet 101 arranged on the left and right sides of the cylindrical coincident part is symmetrically arranged, so as to drive the cylindrical coincident part to accurately vibrate left and right in the horizontal direction without generating a displacement component in the vertical direction; when the second piezoelectric sheet 102 is arranged on the upper and lower sides of the cylindrical coincident part, the second piezoelectric sheet 102 arranged on the upper and lower sides of the cylindrical coincident part is symmetrically arranged, so as to drive the cylindrical coincident part to accurately vibrate in the vertical direction without generating a displacement component in the horizontal direction.

[0042] The present application makes the piezoelectric actuator of the Lissajous scanner itself not necessarily have a specific difference in the inherent frequency in the two driving directions, and also avoids the coupling of the vibration in the two driving directions, thereby reducing the processing difficulty and the requirement for processing precision. The present application uses the adjustment of the shape structure and / or size parameter of the upper side plate 107 to make the combined part have a vibration frequency in two directions meeting the Lissajous scanning working condition requirement, thereby reducing the processing size and precision requirement of the cylindrical body, making the processing difficulty of the cylindrical body low, the processing error easy to control, the yield high, and the processing efficiency and yield significantly improved.

[0043] It should be noted that the above embodiments illustrate the present application rather than limit the present application, and alternative embodiments can be designed by those skilled in the art without departing from the scope of the appended claims. In the claims, any reference symbol located between parentheses shall not be construed as a limitation of the claims. The word "comprise" or "include" does not exclude the presence of elements or steps not listed in the claims. The word "a" or "an" located before an element does not exclude the presence of multiple such elements. The use of the words first, second and third etc. does not indicate any order, and these words can be interpreted as names.

[0044] All features disclosed in the specification, except for mutually exclusive features, can be combined in any way.

[0045] Any feature in the foregoing specification that can be added to the application, unless explicitly described as an application, can be replaced by alternatives having similar or equivalent functionality. That is, unless explicitly described as an application, each feature is one of many alternatives that can be substituted for that feature in the application.

[0046] This application is not limited to the specific embodiments described herein. This application extends to any novel one, or any novel combination, of the features disclosed in this specification, and to any novel method or process disclosed or suggested in this specification, or any novel combination of steps of any novel method or process disclosed or suggested in this specification.

Claims

1. A Lissajous fiber scanner having a combined barrel body, characterized by, The application relates to a cylinder type body and an optical fiber, the axis extension direction of the cylinder type body is the front-back direction, the rear end of the cylinder type body is fixedly connected with a base and supported by the base, the cylinder type body comprises four support columns arranged at four corners and four side plates connecting any two adjacent support columns, the length of the upper side plate in the front-back direction is longer than that of the other three side plates, the rear half of the upper side plate is surrounded by the four support columns and the other three side plates to form a cylinder type coincident part, the front end of the upper side plate is fixedly arranged with the optical fiber in a cantilever support mode, at least one side of the left and right sides of the cylinder type coincident part is provided with a first piezoelectric sheet, the front end of the cylinder type body is driven to vibrate left and right along the horizontal direction by the expansion and contraction of the first piezoelectric sheet, at least one side of the upper and lower sides of the cylinder type coincident part is provided with a second piezoelectric sheet, the front end of the cylinder type body is driven to vibrate up and down along the vertical direction by the expansion and contraction of the second piezoelectric sheet, the upper side plate makes the inherent frequency of the combination part formed by the cylinder type body, the first piezoelectric sheet, the second piezoelectric sheet and the optical fiber in the horizontal direction greater than the same order inherent frequency of the combination part in the vertical direction, and makes the combination part in the vertical direction have a difference between a certain order inherent frequency close to the V order inherent frequency in the horizontal direction and the V order inherent frequency, V is an integer greater than or equal to 1.

2. A Lissajous fiber scanner with a combined barrel body as claimed in claim 1, characterized in that, The difference satisfies that when the combination part is driven by a driving signal to perform Lissajous scanning, the vibration of the combination part in the horizontal direction and the vibration in the vertical direction do not generate coupling.

3. A Lissajous fiber scanner with a combined barrel body as claimed in claim 1 or 2, characterized in that The difference ranges from 10 Hz to 12 KHz.

4. A Lissajous fiber scanner with a combined barrel body as claimed in claim 1 or 2, characterized in that, The difference ranges from 1 KHz to 10 KHz.

5. A Lissajous fiber scanner with a combined barrel body as claimed in claim 1 or 2, characterized in that, The rigidity of the support column is greater than that of the side plate.

6. A Lissajous fiber scanner with a combined barrel body as claimed in claim 1 or 2, characterized in that, Any one side of the left and right sides of the cylinder type coincident part is provided with the first piezoelectric sheet, the front end of the cylinder type coincident part is driven to vibrate left and right along the horizontal direction by the expansion and contraction of the first piezoelectric sheet, or The left and right sides of the cylinder type coincident part are provided with the first piezoelectric sheet, the first piezoelectric sheet located on the left side and the first piezoelectric sheet located on the right side are synchronously and reversely expanded and contracted with equal length, and the front end of the cylinder type coincident part is driven to vibrate left and right along the horizontal direction.

7. A Lissajous fiber scanner with a combined barrel body as claimed in claim 1 or 2, characterized in that, Any one side of the upper and lower sides of the cylinder type coincident part is provided with the second piezoelectric sheet, the front end of the cylinder type coincident part is driven to vibrate up and down along the vertical direction by the expansion and contraction of the second piezoelectric sheet, or The upper and lower sides of the cylinder type coincident part are provided with the second piezoelectric sheet, the second piezoelectric sheet located on the upper side and the second piezoelectric sheet located on the lower side are synchronously and reversely expanded and contracted with equal length, and the front end of the cylinder type coincident part is driven to vibrate up and down along the vertical direction.

8. A Lissajous fiber scanner with a combined barrel body as claimed in claim 1 or 2, characterized in that, The surface of the cylinder type coincident part provided with the first piezoelectric sheet or the second piezoelectric sheet is a plane.

9. A Lissajous fiber scanner with a combined barrel body as claimed in claim 7, characterized in that, When the left and right sides of the cylinder type coincident part are provided with the first piezoelectric sheet, the first piezoelectric sheets on the left and right sides of the cylinder type coincident part are symmetrically arranged; when the upper and lower sides of the cylinder type coincident part are provided with the second piezoelectric sheet, the second piezoelectric sheets on the upper and lower sides of the cylinder type coincident part are symmetrically arranged.