A ring-type elastic metamaterial structure with low- and medium-frequency vibration reduction characteristics

Abstract

The present invention discloses a ring-type elastic metamaterial structure with medium and low frequency vibration reduction characteristics, a bottom surface is provided on one side of a solid circular ring structure, and multiple layers of circular rings are arranged periodically from the inside to the outside along the radius direction of the solid circular ring structure on the bottom surface, a trunk portion is provided in the innermost circular ring, and four wedge-shaped blocks are arranged at intervals on the outer side of each layer of circular rings, and the trunk portion is connected to the wedge-shaped blocks on each layer of circular rings through four columnar structures to form a radial elastic structure, and the radial elastic structure extends outward from the innermost circular ring and is connected to the side wall of the outermost circular ring to form a ring-type elastic metamaterial structure with medium and low frequency vibration reduction characteristics. The present invention forms a partially hollowed structure by connecting the radial elastic structure with the solid circular ring structure, and can provide excellent vibration reduction characteristics in medium and low frequency environments.

Description

Technical Field

[0001] The invention belongs to the technical field of functional materials, and in particular relates to a ring-type elastic metamaterial structure with medium and low frequency vibration reduction characteristics. Background Art

[0002] Elastic metamaterials are structures that periodically arrange unit structures. They have attracted great attention from researchers because they can suppress the transmission of elastic waves within a certain frequency range. In recent years, people have applied the concept and properties of elastic metamaterials to various fields.

[0003] Buildings, bridges, railways and other types of land transportation tracks will vibrate for various reasons when in use, affecting the strength of the structure. The vibrations generated by various precision instruments when working will also greatly affect the accuracy of the instruments. Given that the vibration control of the construction industry and engineering machinery has not yet achieved the ideal effect, various types of buildings and mechanical equipment will inevitably produce varying degrees of vibration when in use. Elastic metamaterials are an artificially designed periodic structure with bandgap characteristics. Using their bandgap characteristics to achieve vibration reduction and noise reduction is a novel method.

[0004] Most of the current elastic metamaterials are based on a local resonance mechanism, which can achieve the effect of controlling large wavelengths with small sizes. However, the band gap range that the structure of existing elastic metamaterials can provide at medium and low frequencies is relatively narrow, and the effect on low-frequency shock absorption is very limited. In addition, the strength of the structure has not achieved the ideal effect. Summary of the invention

[0005] The technical problem to be solved by the present invention is to provide a ring-type elastic metamaterial structure with medium and low frequency vibration reduction characteristics in view of the deficiencies in the above-mentioned prior art, which can have an ultra-wide band gap in the low frequency range and produce excellent vibration reduction effect.

[0006] The present invention adopts the following technical solutions:

[0007] A ring-shaped elastic metamaterial structure with medium and low frequency vibration reduction characteristics comprises a solid circular ring structure, a bottom surface is arranged on one side of the solid circular ring structure, and multiple layers of circular rings are periodically arranged from the inside to the outside on the bottom surface along the radius direction of the solid circular ring structure, a trunk part is arranged in the innermost circular ring, four wedge-shaped blocks are arranged at intervals on the outside of each layer of circular rings, the trunk part is connected with the wedge-shaped blocks on each layer of circular rings through four columnar structures to form a radial elastic structure, the radial elastic structure extends outward from the innermost circular ring and is connected to the side wall of the outermost circular ring to form the ring-shaped elastic metamaterial structure with medium and low frequency vibration reduction characteristics.

[0008] Specifically, the four wedge blocks of each layer of the ring are evenly distributed along the circumferential direction, the central angle of each wedge block is 60°, and the angle between adjacent wedge blocks is 90°.

[0009] Specifically, the outer diameter of the outermost ring is 27-28 mm, the inner diameter of the innermost ring is 5-6 mm, the radial distance between adjacent rings is 9-10 mm, and the radial width of the ring is 2-3 mm.

[0010] Specifically, the axial height of each layer of the ring is 27-28 mm, and the axial thickness of the bottom of the ring is 2-3 mm.

[0011] Specifically, the axial distance between the bottom surface of the solid annular structure and the radial elastic material is 7 to 8 mm.

[0012] Specifically, through holes are opened on the side walls of the solid annular structure corresponding to the columnar structure, and the through holes on each circle of the side walls are arranged along the same axis.

[0013] Furthermore, the cross section of the through hole is a rectangle of 5 mm×3 mm, and the cross section of the columnar structure is a circle.

[0014] Specifically, the main body is divided into a cross-shaped structure, and the total length extending outward is 32 to 33 mm.

[0015] Specifically, the upper surface of each wedge block arranged along the same axial direction is 8 to 9 meters higher than the upper surface of the main body part. The contact side between the outermost wedge block and the outermost circular ring is a square block that is concave inward and has a curved shape. The distance between the two side surfaces of the outermost wedge block is 15 to 16 mm.

[0016] Specifically, the axial thickness of the trunk portion is 3 to 4 mm, and the axial height of the wedge block is 8 to 9 mm.

[0017] Compared with the prior art, the present invention has at least the following beneficial effects:

[0018] The present invention discloses a ring-shaped elastic metamaterial structure with medium and low frequency vibration reduction characteristics. The radial elastic structure is connected with a solid circular ring structure to form a partially hollow structure, which can provide excellent vibration reduction characteristics in medium and low frequency environments. Compared with the existing metamaterial disc structure, the band gap characteristic provided by the present invention has a lower frequency and a wider band gap. The band gap characteristic is optimized by modifying the structural parameters of the solid circular ring and the radial elastic material, and has potential application value in engineering machinery and the construction industry.

[0019] Furthermore, the four wedge blocks of each layer of the circular ring are evenly distributed along the circumferential direction, the central angle of each wedge block is 60°, and the angle between adjacent wedge blocks is 90°, which is arranged to maintain uniform force and improve the strength of the structure.

[0020] Furthermore, the outer diameter of the outermost ring is 27-28 mm, the inner diameter of the innermost ring is 5-6 mm, the radial distance between adjacent rings is 9-10 mm, and the radial width of the ring is 2-3 mm, which increases the number of vibrators while preventing the vibrators from contacting each other while vibrating.

[0021] Furthermore, the axial height of each layer of the ring is 27 to 28 mm, and the axial thickness of the bottom is 2 to 3 mm, which ensures the axial stability of the structure.

[0022] Furthermore, the axial distance between the bottom surface of the solid circular ring structure and the radial elastic material is 7 to 8 mm, so that the structure is as light as possible.

[0023] Furthermore, through holes are opened on the side walls of the solid circular ring structure corresponding to the columnar structure, and the through holes on each circle of the side walls are arranged along the same axis, which can enable the structure to produce multi-level resonance and increase the band gap.

[0024] Furthermore, the cross section of the through hole is a 5 mm×3 mm rectangle, which provides a good supporting surface, and the cross section of the columnar structure is circular, which ensures that the radial force is uniform and does not generate excessive shear force.

[0025] Furthermore, the main body is divided into a cross-shaped structure, and the total length of the outward extension is 32 to 33 mm, and the overall structure is connected in series to achieve a multi-level resonance effect.

[0026] Furthermore, the upper surface of each wedge block arranged along the same axial direction is 8 to 9 meters higher than the upper surface of the main body part. The contact side between the outermost wedge block and the outermost circular ring is a square block that is concave inward and has a curved shape. The distance between the two side surfaces is 15 to 16 mm, so that the periodic arrangement of the structure can generate as little excess stress as possible.

[0027] Furthermore, the axial thickness of the main body is 3 to 4 mm, and the axial height of the wedge block is 8 to 9 mm or 13 mm, which enhances the stability of the structure and does not have an excessive impact on the structure itself while generating an overturning moment.

[0028] In summary, the present invention forms a partially hollow structure by connecting the radial elastic structure with the solid annular structure, which can provide excellent vibration reduction characteristics in a medium and low frequency environment.

[0029] The technical solution of the present invention is further described in detail below through the accompanying drawings and embodiments. BRIEF DESCRIPTION OF THE DRAWINGS

[0030] Figure 1 Schematic diagram of the structure of the ring-type elastic metamaterial unit cell of the present invention, wherein (a) is an installation structure diagram, and (b) is a disassembled structure diagram;

[0031] Figure 2 It is a schematic diagram of the scattering structure of the ring-shaped elastic metamaterial unit cell of the present invention;

[0032] Figure 3 It is a schematic diagram of a solid circular ring structure with a bottom of a ring-shaped elastic metamaterial unit cell of the present invention;

[0033] Figure 4 It is a structural diagram of the ring-type elastic metamaterial of the present invention;

[0034] Figure 5 It is an energy band curve diagram of the ring-type elastic metamaterial of the present invention;

[0035] Figure 6 It is a frequency response function curve diagram of the ring-type elastic metamaterial of the present invention.

[0036] Among them: 1. radial elastic structure; 2. solid circular ring structure; 3. first wedge block; 4. third wedge block; 5. second circular ring; 6. second wedge block; 7. first circular ring; 8. through hole; 9. third circular ring; 10. main body part. DETAILED DESCRIPTION

[0037] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0038] In the description of the present invention, it should be understood that the terms "center", "longitudinal", "lateral", "up", "down", "front", "back", "left", "right", "vertical", "horizontal", "top", "bottom", "inside", "outside", "one side", "one end", "one side" and the like indicate positions or positional relationships based on the positions or positional relationships shown in the accompanying drawings, which are only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore cannot be understood as limiting the present invention. In addition, the terms "first" and "second" are only used for descriptive purposes, and cannot be understood as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Therefore, the features defined as "first" and "second" may explicitly or implicitly include one or more of the features. In the description of the present invention, unless otherwise specified, "multiple" means two or more.

[0039] In the description of the present invention, it should be noted that, unless otherwise clearly specified and limited, the terms "installed", "connected", and "connected" should be understood in a broad sense, for example, it can be a fixed connection, a detachable connection, or an integral connection; it can be a mechanical connection or an electrical connection; it can be a direct connection, or it can be indirectly connected through an intermediate medium, or it can be the internal communication of two components. For ordinary technicians in this field, the specific meanings of the above terms in the present invention can be understood according to specific circumstances.

[0040] It should be understood that when used in this specification and the appended claims, the terms "include" and "comprises" indicate the presence of described features, integers, steps, operations, elements and / or components, but do not exclude the presence or addition of one or more other features, integers, steps, operations, elements, components and / or combinations thereof.

[0041] It should also be understood that the terms used in the present specification are only for the purpose of describing specific embodiments and are not intended to limit the present invention. As used in the present specification and the appended claims, unless the context clearly indicates otherwise, the singular forms "a", "an" and "the" are intended to include plural forms.

[0042] It should be further understood that the term "and / or" used in the present description and the appended claims refers to any and all possible combinations of one or more of the associated listed items, and includes these combinations.

[0043] Various structural schematic diagrams of the embodiments disclosed in the present invention are shown in the accompanying drawings. These figures are not drawn to scale, and some details are magnified and some details may be omitted for the purpose of clear expression. The shapes of various regions and layers shown in the figures and the relative sizes and positional relationships therebetween are only exemplary, and may deviate in practice due to manufacturing tolerances or technical limitations, and those skilled in the art may additionally design regions / layers with different shapes, sizes, and relative positions according to actual needs.

[0044] The present invention provides a ring-shaped elastic metamaterial structure with medium and low frequency vibration reduction characteristics, comprising a plurality of circular rings, which are periodically arranged from the inside to the outside in the radial direction, and the gaps between adjacent circular rings are connected by four wedge blocks. The four wedge blocks of each circle are evenly distributed in the circumferential direction, the central angle of each wedge block is 60°, and the angle between adjacent wedge blocks is 90°. The solid circular pancake-shaped elastic material at the center of the ring-shaped elastic metamaterial structure extends four columnar structures with circular cross-sections in the radial direction, and the columnar structures penetrate the center of the corresponding wedge blocks and are integrated with them, and the outermost wedge blocks are closely attached to the outer wall of the outermost circular ring.

[0045] See also Figure 1 The present invention discloses a ring-type elastic metamaterial structure with medium and low frequency vibration reduction characteristics, including a radial elastic structure 1 and a solid circular ring structure 2. The solid circular ring structure 2 is connected to the radial elastic structure 1 and a hollow structure is formed therebetween; the radial elastic structure 1 extends outward through a through hole 8 on the side wall of the solid circular ring structure 2 to form an assembly with the side wall of the solid circular ring structure 2.

[0046] The side walls of the solid circular ring structure 2 are arranged radially, and include a first circular ring 7, a second circular ring 5 and a third circular ring 9 from the inside to the outside. The radial elastic structure 1 includes a trunk portion 10, a first wedge block 3, a second wedge block 6 and a third wedge block 4. The trunk portion 10 is arranged inside the first circular ring 7. Four third wedge blocks 4 are arranged between the first circular ring 7 and the second circular ring 5. Four second wedge blocks 6 are arranged between the second circular ring 5 and the third circular ring 9 corresponding to the third wedge blocks 4. Four first wedge blocks 3 are arranged on the outside of the third circular ring 9 corresponding to the second wedge blocks 6. The third wedge blocks 4, the second wedge blocks 6 and the first wedge blocks 3 are arranged into four groups accordingly. Each group of the third wedge blocks 4, the second wedge blocks 6 and the first wedge blocks 3 are arranged along the same axis. The trunk portion 10 and the four groups of the third wedge blocks 4, the second wedge blocks 6 and the first wedge blocks 3 are connected by a columnar structure with a circular cross-section.

[0047] See also Figure 3 The structure of the solid circular ring structure 2 with a bottom is that the side wall is arranged in three layers along the radial direction. The side wall surfaces of the first circular ring 7, the second circular ring 5 and the third circular ring 9 each contain four circular through holes 8. The interval angle of adjacent through holes 8 is 90°. The through holes of the three layers of side walls are arranged along the same axis. One end of the columnar structure is connected to the trunk part 10, and the other end passes through the through holes 8 on the first circular ring 7, the second circular ring 5 and the third circular ring 9 in sequence and is connected to the corresponding first wedge block 3, the second wedge block 6 and the third wedge block 4 to form an integrated structure.

[0048] The outer diameter of the third ring 9 of the outermost circle is 27-28 mm, the inner diameter of the first ring 7 of the innermost circle is 5-6 mm, the radial distance between adjacent solid rings is 9-10 mm, the radial width of the solid rings is 2-3 mm, the axial height of the second ring 5, the first ring 7 and the third ring 9 is 27-28 mm, the axial thickness of the bottom is 2-3 mm, and the cross-section of the through hole 8 is a rectangle of 5 mm×3 mm.

[0049] The bottom thickness of the solid circular ring structure 2 is 2 mm, and the axial distance between the radial elastic material 1 and the bottom of the solid circular ring structure 2 is 7 to 8 mm.

[0050] See also Figure 2The main body 10 of the radial elastic material 1 is a cross-shaped structure, extending from the inside to the outside, and respectively connecting a group of third wedge blocks 3, second wedge blocks 6 and first wedge blocks 4. The total length of the outward extension is 32 to 33 mm. The third wedge blocks 3, the second wedge blocks 6 and the first wedge blocks 4 surround a circle of the same radius, and the radial positions of the wedge blocks arranged along the same axis are the same.

[0051] The axial thickness of the main part 10 is 3 mm, the axial heights of the third wedge block 3, the second wedge block 6 and the first wedge block 4 are 8 to 9 mm, and the axial distance between the main part 10 and the bottom of the second circular ring 5, the first circular ring 7 and the third circular ring 9 is 7.5 mm;

[0052] The axial heights of the third wedge block 3, the second wedge block 6 and the first wedge block 4 are 8 to 9 mm, the central angle of the inner first wedge block 4 is 60°, and along the axial direction, the upper surface of the wedge block is 8 to 9 m higher than the upper surface of the trunk part 10. The outermost first wedge block 3 is a square block with one side curved and concave, and the distance between its two side surfaces is 15 to 16 mm.

[0053] The inner and outer side surfaces of the first wedge block 3, the second wedge block 4 and the third wedge block 6 and the inner and outer wall surfaces of the third circular ring 9, the second circular ring 5 and the first circular ring 7 in contact therewith have equal radial radii, and the outer wall surface of the outermost first wedge block 3 is a plane.

[0054] See also Figure 4 , multiple ring-type elastic metamaterial structures are arranged in an array, demonstrating a periodic combination method consisting of a single structure as a unit.

[0055] In order to make the purpose, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, rather than all of the embodiments. The components of the embodiments of the present invention described and shown in the drawings here can usually be arranged and designed in various different configurations. Therefore, the following detailed description of the embodiments of the present invention provided in the drawings is not intended to limit the scope of the claimed invention, but merely represents selected embodiments of the present invention. Based on the embodiments in the present invention, all other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of the present invention.

[0056] In order to ensure that the structure has a certain rigidity and strength, the entire solid circular ring structure 2 with a bottom arranged from the inside to the outside along the radius is made of 45 steel, and the material of the structure 1 extending radially from the center to the outside is rubber. The specific material parameters are shown in Table 1.

[0057] Table 1 Material parameters

[0058] Material Young's modulus density Poisson's ratio 45 steel 2.1e11pa <![CDATA[7875kg·m 3 ]]> 0.33 rubber 1.175e5pa <![CDATA[1300kg·m 3 ]]> 0.47

[0059] See also Figure 5 and Figure 6 There is a very obvious vibration attenuation between 40~251hz and 260~355hz, and the vibration attenuation has reached -300db. Figure 5 From the energy band curve of the structure shown, it can be seen that the structure has two band gaps in the range of 40 to 355 Hz, and the band gap effect is better in the low frequency range of 40 to 250 Hz. Within this range, the structure completely suppresses the vibration caused by elastic waves.

[0060] The two-dimensional ring-shaped radial elastic metamaterial structure of the present invention can generate medium and low frequency band gaps, effectively suppressing elastic waves.

[0061] In summary, the ring-shaped elastic metamaterial structure with medium and low frequency vibration reduction characteristics of the present invention has a smaller size and a lighter structure than the traditional two-dimensional phononic crystal structure when controlling elastic waves in the same frequency range. Its control of medium and low frequency elastic waves can greatly reduce the vibration of engineering machinery and precision instruments, and has great application value in the manufacturing and construction industries.

[0062] The above contents are only for explaining the technical idea of ​​the present invention and cannot be used to limit the protection scope of the present invention. Any changes made on the basis of the technical solution in accordance with the technical idea proposed by the present invention shall fall within the protection scope of the claims of the present invention.

Claims

1. A ring-type elastic metamaterial structure with medium and low frequency vibration reduction characteristics, characterized in that: The invention comprises a solid circular ring structure (2), wherein a bottom surface is arranged on one side of the solid circular ring structure (2), and a plurality of circular rings are arranged on the bottom surface in a periodic arrangement from the inside to the outside along the radial direction of the solid circular ring structure (2), and a main part (10) is arranged in the innermost circular ring, and four wedge blocks are arranged at intervals on the outer side of each layer of circular rings, and the four wedge blocks of each layer of circular rings are evenly distributed along the circumferential direction, and the central angle of each wedge block is 60 degrees, and the angle between adjacent wedge blocks is 90 degrees, and the main part (10) is connected to the wedge blocks on each layer of circular rings through four columnar structures to form a radial elastic structure (1), and the radial elastic structure (1) extends outward from the innermost circular ring and is connected to the side wall of the outermost circular ring to form a ring-type elastic metamaterial structure with medium and low frequency vibration reduction characteristics, and the axial height of each layer of circular rings is 27-28 mm.

2. The ring-type elastic metamaterial structure with medium and low frequency vibration reduction characteristics according to claim 1, characterized in that: The outer diameter of the outermost ring is 27~28mm, the inner diameter of the innermost ring is 5~6mm, the radial distance between adjacent rings is 9~10mm, and the radial width of the ring is 2~3mm.

3. The ring-type elastic metamaterial structure with medium and low frequency vibration reduction characteristics according to claim 1, characterized in that: The axial distance between the bottom surface of the solid circular ring structure (2) and the radial elastic structure (1) is 7 to 8 mm.

4. The ring-type elastic metamaterial structure with medium and low frequency vibration reduction characteristics according to claim 1, characterized in that: Through holes (8) are provided on the side walls of the solid annular structure (2) corresponding to the columnar structure, and the through holes (8) on each circle of the side walls are arranged along the same axis.

5. The ring-type elastic metamaterial structure with medium and low frequency vibration reduction characteristics according to claim 4, characterized in that: The cross section of the through hole (8) is a 5 mm×3 mm rectangular shape, and the cross section of the columnar structure is a circle.

6. The ring-type elastic metamaterial structure with medium and low frequency vibration reduction characteristics according to claim 1, characterized in that: The trunk part (10) is a cross-shaped structure, and the total length extending outward is 32-33 mm.

7. The ring-type elastic metamaterial structure with medium and low frequency vibration reduction characteristics according to claim 1, characterized in that: The upper surface of each wedge-shaped block arranged along the same axial direction is 8 to 9 meters higher than the upper surface of the trunk part (10), and the contact side of the outermost wedge-shaped block (3) with the outermost circular ring is a square block that is inwardly concave and has a curved surface shape.

8. The ring-type elastic metamaterial structure with medium and low frequency vibration reduction characteristics according to claim 1, characterized in that: The axial thickness of the trunk portion (10) is 3-4 mm, and the axial height of the wedge block is 8-9 mm.

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