Design method of low-frequency vibration isolation component of minimal surface multi-point matrix metamaterial and vibration isolator
By designing a multi-point array metamaterial vibration isolation component with minimal curved surfaces and utilizing multiple nesting of Gyroid, IWP, and Diamond minimal curved surface unit cell structures, the problem of vibration isolation effect of existing metamaterial vibration isolators within a specific frequency range is solved, achieving broadband low-frequency vibration isolation and improved load-bearing capacity.
Patent Information
- Application Number
- CN202411978927.2
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-12-31
- Publication Date
- 2025-10-24
- Estimated Expiration
- 2044-12-31
AI Technical Summary
The existing metamaterial isolator unit cell configuration is only effective within a specific frequency range, making it difficult to achieve broadband, low-frequency vibration isolation and simultaneously meet the requirements of load-bearing and vibration isolation.
We designed a low-frequency vibration isolation component using a multi-point array metamaterial with minimal curved surfaces. By constructing Gyroid, IWP, and Diamond minimal curved surface unit cell structures, we reconstructed a three-dimensional model through multiple nesting and then used additive manufacturing technology to fabricate the vibration isolator.
It achieves uniform stress distribution and high fatigue life in vibration isolation components, improves stiffness and damping ratio, adjusts the contradiction between stiffness and vibration isolation performance, adapts to the design freedom of different application scenarios, and meets the requirements of load-bearing capacity and low-frequency vibration isolation.
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Figure CN119849030B_ABST
Abstract
Description
TECHNICAL FIELD
[0001] The application belongs to the technical field of low-frequency vibration reduction, and more particularly relates to a method for designing a low-frequency vibration isolation component of a minimal surface multi-point array metamaterial and a vibration isolator. BACKGROUND
[0002] Low-frequency vibration of mechanical noise is a major noise source in ship navigation or similar scenarios, and it has always been a challenge in the field of vibration reduction and noise reduction to achieve low-frequency vibration isolation while balancing load-bearing performance and vibration isolation performance. Using a vibration isolator is an effective means to achieve vibration reduction and noise reduction, which can effectively weaken the vibration source and isolate the transmission of vibration, thereby achieving good vibration reduction and noise reduction effect. However, due to the limitation of the principle of vibration reduction and noise reduction, the stiffness and vibration isolation performance of the traditional vibration isolator show a contradictory inverted relationship, and improving the low-frequency vibration isolation performance must sacrifice the load-bearing performance.
[0003] With the rapid development of metamaterials, designing the unit structure of the material to obtain super-normal physical properties that do not exist in nature provides a new idea for vibration reduction and noise reduction. At the same time, thanks to the rapid development of additive manufacturing technology, it is possible to prepare high-precision and high-complexity metamaterial vibration isolators. However, the existing metamaterial vibration isolator cell configuration is relatively fixed, and only has good vibration isolation effect in a specific frequency range, making it difficult to achieve wideband, low-frequency vibration isolation and simultaneously meet the needs of load-bearing and vibration isolation. SUMMARY
[0004] In view of the defects of the prior art, the purpose of the present application is to provide a method for designing a low-frequency vibration isolation component of a minimal surface multi-point array metamaterial and a vibration isolator, which aims to solve the problem that the existing metamaterial vibration isolator cell configuration only has vibration isolation effect in a specific frequency range, making it difficult to achieve wideband, low-frequency vibration isolation and simultaneously meet the needs of load-bearing and vibration isolation.
[0005] To achieve the above-mentioned purpose, the present application provides a method for designing a low-frequency vibration isolation component of a minimal surface multi-point array metamaterial, comprising:
[0006] S1 determining the cell topology type and the nesting number of the required minimal surface multi-point array metamaterial, wherein the cell topology type includes a Gyroid minimal surface structure, an IWP minimal surface structure and a Diamond minimal surface structure;
[0007] S2 based on the cell topology type, constructing a corresponding single-weight minimal surface three-dimensional model; based on the nesting number, copying the single-weight minimal surface three-dimensional model along a predetermined direction according to a predetermined interval to obtain a multi-weight minimal surface three-dimensional model; wherein the predetermined interval is less than the edge length of the corresponding cell structure;
[0008] S3 removing the structure that is not multi-nested at the edge of the multi-weight minimal surface three-dimensional model;
[0009] S4 constructs a bottom plate of a preset thickness on a pair of side surfaces of the multiple minimal surface three-dimensional model with redundant structures removed to obtain the low-frequency vibration isolation component model.
[0010] Furthermore, in step S2, the side length of the single minimal surface three-dimensional model is equal to the side length of the multiple minimal surface three-dimensional model after removing redundant structures.
[0011] Furthermore, when the unit cell topology type is determined to be a Gyroid surface, the corresponding nesting multiplicity is two, four or eight; in step S2, a Gyroid single minimal surface model is first constructed, and then based on the corresponding nesting multiplicity, the Gyroid single minimal surface model is replicated along a preset direction and at a preset spacing with a corresponding multiplicity to obtain a Gyroid multiple minimal surface model.
[0012] Furthermore, in step S2, the Gyroid single minimal surface model is replicated multiple times along a preset direction and at a preset interval to obtain a multiple minimal surface three-dimensional model.
[0013] The Gyroid single minimal surface model is The Gyroid double minimal surface model is obtained by copying the spacing, where a is the side length of the unit cell structure in the Gyroid single minimal surface model;
[0014] The Gyroid dual minimal surface model is Copy the spacing to obtain the Gyroid quadruple minimal surface model;
[0015] The Gyroid quadruple minimal surface model is respectively arranged in the X-axis direction, the Y-axis direction and the Z-axis direction. Copy it at to obtain the Gyroid octet minimal surface model.
[0016] Furthermore, in step S1, when the unit cell topology type is determined to be an IWP surface, the corresponding nesting multiplicity is two or four; in step S2, an IWP single minimal surface model is constructed, and based on the corresponding nesting multiplicity, the IWP single minimal surface model is multiple replicated along a preset direction and at a preset spacing to obtain an IWP multiple minimal surface model.
[0017] Furthermore, based on the nesting multiplicity, the steps of replicating the IWP single minimal surface model along a preset direction and at a preset spacing are as follows:
[0018] The IWP single minimal surface model is placed along the X-axis direction. Copy the spacing, and then copy along the Y axis. copying the IWP doubly minimal surface model along the X-axis direction at a preset interval, and then copying the IWP doubly minimal surface model along the Y-axis direction at a preset interval to obtain an IWP quadruply minimal surface model.
[0019] copying the IWP doubly minimal surface model along the X-axis direction at a preset interval, and then copying the IWP doubly minimal surface model along the Y-axis direction at a preset interval to obtain an IWP quadruply minimal surface model. copying the IWP doubly minimal surface model along the X-axis direction at a preset interval, and then copying the IWP doubly minimal surface model along the Y-axis direction at a preset interval to obtain an IWP quadruply minimal surface model. copying the IWP doubly minimal surface model along the X-axis direction at a preset interval, and then copying the IWP doubly minimal surface model along the Y-axis direction at a preset interval to obtain an IWP quadruply minimal surface model.
[0020] Further, in step S1, when the single-cell topological type is determined as a Diamond surface, the corresponding nested multiplicity is two or four; in step S2, a Diamond singly minimal surface model is constructed, and based on the corresponding nested multiplicity, the Diamond singly minimal surface model is copied multiple times along a preset direction at a preset interval to obtain a Diamond multiply minimal surface model.
[0021] Further, in step S1, when the single-cell topological type is determined as a Diamond surface, the corresponding nested multiplicity is two or four; in step S2, a Diamond singly minimal surface model is constructed, and based on the corresponding nested multiplicity, the Diamond singly minimal surface model is copied multiple times along a preset direction at a preset interval to obtain a Diamond multiply minimal surface model.
[0022] copying the IWP doubly minimal surface model along the X-axis direction at a preset interval, and then copying the IWP doubly minimal surface model along the Y-axis direction at a preset interval to obtain an IWP quadruply minimal surface model. copying the IWP doubly minimal surface model along the X-axis direction at a preset interval, and then copying the IWP doubly minimal surface model along the Y-axis direction at a preset interval to obtain an IWP quadruply minimal surface model. copying the IWP doubly minimal surface model along the X-axis direction at a preset interval, and then copying the IWP doubly minimal surface model along the Y-axis direction at a preset interval to obtain an IWP quadruply minimal surface model.
[0023] copying the IWP doubly minimal surface model along the X-axis direction at a preset interval, and then copying the IWP doubly minimal surface model along the Y-axis direction at a preset interval to obtain an IWP quadruply minimal surface model. copying the IWP doubly minimal surface model along the X-axis direction at a preset interval, and then copying the IWP doubly minimal surface model along the Y-axis direction at a preset interval to obtain an IWP quadruply minimal surface model. copying the IWP doubly minimal surface model along the X-axis direction at a preset interval, and then copying the IWP doubly minimal surface model along the Y-axis direction at a preset interval to obtain an IWP quadruply minimal surface model.
[0024] According to another aspect of the present application, there is also provided a vibration isolator, which comprises a connecting cover, a base and a vibration isolation component, a model of the vibration isolation component being obtained by the design method according to any one of the preceding aspects, the vibration isolator comprising: a connecting cover, a base and a vibration isolation component, the base being provided with an open vibration isolation cavity, the vibration isolation component being arranged in the vibration isolation cavity, and the connecting cover being connected with the base to close the opening of the vibration isolation cavity, so as to limit the vibration isolation component in the vibration isolation cavity.
[0025] Further, the bottom of the vibration isolation cavity is provided with an implant skeleton, a square countersunk hole is arranged on the bottom surface of the vibration isolation component, and the implant skeleton is embedded in the square countersunk hole; an adjusting gasket is arranged between the vibration isolation component and the side wall of the vibration isolation cavity; a plurality of pairs of adjusting screws are arranged on the side wall of the base, one end of the adjusting screw is located in the vibration isolation cavity and abuts against the adjusting gasket, so as to limit the vibration isolation component.
[0026] Overall, compared with the prior art, the above technical solutions conceived by the present application have the following beneficial effects:
[0027] (1) The design method provided by the present application constructs multiple minimal surface cells, including Gyroid minimal surface cell structure, IWP minimal surface cell structure and Diamond minimal surface cell structure, and uses the three kinds of cell structure to nest and reconstruct the three-dimensional model of the required multiple minimal surface lattice material structure, and then uses different kinds of multiple minimal surface lattice material structure to design the entity model of the vibration isolation component. Compared with the vibration isolation components of the existing vibration isolators, the surfaces of the Gyroid multiple minimal surface lattice structure, IWP multiple minimal surface lattice structure and Diamond minimal surface lattice structure designed by the foregoing design method are uniformly transitioned, have no sharp inflection points, and have uniform stress distribution and high fatigue life.
[0028] (2) In the design method provided by the present application, the required vibration isolation component can be customized and designed according to the application scene. Because the structure form and nesting number of the minimal surface lattice structure are controlled by the corresponding implicit function equation, different structure forms and different numbers of minimal surface lattice structures can be generated by multiple decomposition and nesting of different minimal surface cell structures, so there is great design freedom. As long as the design parameters are changed according to the requirements during the design process, different volume fractions and different cell sizes of the minimal surface multiple lattice structure can be generated, which can better adapt to more actual vibration reduction scenes.
[0029] (3) The design method provided in the present application realizes the improvement of stiffness superposition and damping ratio by multiple nesting of the minimal surface single lattice structure to form the minimal surface multiple lattice structure, which well adjusts the contradiction between stiffness and vibration isolation performance, so that the vibration isolation component can meet the bearing capacity while having lower vibration isolation frequency and wider vibration isolation frequency band. BRIEF DESCRIPTION OF DRAWINGS
[0030] Figure 1 is the design method flowchart of the minimal surface multiple lattice metamaterial low-frequency vibration isolation component provided by the present application;
[0031] Figure 2 is the design and processing application flowchart of the minimal surface multiple lattice metamaterial low-frequency vibration isolation component provided by the present application;
[0032] Figure 3 is the cell structure schematic diagram respectively corresponding to the Gyroid surface, IWP surface and Diamond surface provided by the present application;
[0033] Figure 4 is the replication and evolution process schematic diagram of the Gyroid one-fold, two-fold, four-fold and eight-fold minimal surface structure provided by the present application;
[0034] Figure 5 is a schematic diagram of the replication evolution process of the IWP one-fold, two-fold and four-fold minimal surface structure provided in the present application;
[0035] Figure 6 is a schematic diagram of the replication evolution process of the Diamond one-fold, two-fold and four-fold minimal surface structure provided in the present application;
[0036] Figure 7 is a schematic diagram of the vibration isolator structure provided in an embodiment of the present application with the Gyroid four-fold minimal surface lattice material vibration isolation component;
[0037] Figure 8 is a schematic diagram of the cross-sectional structure of the vibration isolator provided in an embodiment of the present application without the Gyroid four-fold minimal surface lattice material vibration isolation component;
[0038] Figure 9 is a schematic diagram of the cross-sectional structure of the vibration isolator provided in an embodiment of the present application with the Gyroid four-fold minimal surface lattice material vibration isolation component;
[0039] Figure 10 is a schematic diagram of the three-dimensional structure of one of the perspectives of the Gyroid four-fold minimal surface lattice material vibration isolation component provided in an embodiment of the present application;
[0040] Figure 11 is a schematic diagram of the three-dimensional structure of another perspective of the Gyroid four-fold minimal surface lattice material vibration isolation component provided in an embodiment of the present application.
[0041] In all the drawings, the same reference signs are used to represent the same elements or structures, wherein: 1 - connecting cover, 2 - base, 21 - vibration isolation cavity, 3 - lower rubber damping friction pad, 4 - upper rubber damping friction pad, 5 - sealing ring, 6 - fastening bolt, 7 - implant framework, 8 - fixing bolt, 9 - adjusting screw, 10 - bolt, 11 - vibration isolation component, 12 - adjusting gasket, 13 - screw handle, 14 - round countersunk hole, 15 - square countersunk hole. DETAILED DESCRIPTION
[0042] In order to make the purpose, technical solutions and advantages of the present application more clear, the present application is further described in detail below in combination with the drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present application and do not limit the present application.
[0043] The term "and / or" in this paper is a description of the association relationship between the associated objects, which means that there can be three kinds of relationships, for example, A and / or B, which can represent the three cases of A alone, A and B together, and B alone. The symbol " / " in this paper represents the relationship of or between the associated objects, for example, A / B represents A or B.
[0044] The terms "first" and "second" and the like in the description and in the claims of the present application are used for distinguishing between similar objects, not for describing a particular sequential order. For example, the first response message and the second response message are used for distinguishing between different response messages, not for describing a particular sequential order of the response messages.
[0045] In the embodiments of the present application, the words "exemplary" and "for example" are used to mean serving as an example, instance, or illustration, at 99 least with respect to the specific embodiments described herein. Any embodiment or design described herein as "exemplary" or "for example" is not necessarily to be construed as preferred or advantageous over other embodiments or designs. Rather, use of the words "exemplary" and "for example" is intended to present concepts in a concrete manner.
[0046] In the description of the embodiments of the present application, unless otherwise specified, "a plurality of" means two or more, for example, a plurality of processing units means two or more processing units, and the like; a plurality of elements means two or more elements, and the like.
[0047] The present application provides a design method of a low-frequency vibration isolation component of a minimal surface multi-point array metamaterial, which combines Figure 1 and Figure 2 As shown in the drawings, the design method comprises the following steps:
[0048] S1 determining the unit cell topology type and the nesting number of the required minimal surface multi-point array metamaterial, the unit cell topology type comprising a Gyroid minimal surface structure, an IWP minimal surface structure, and a Diamond minimal surface structure;
[0049] S2 based on the unit cell topology type, constructing a corresponding single-minimal surface three-dimensional model; based on the nesting number, copying the single-minimal surface three-dimensional model along a preset direction according to a preset interval for a corresponding number of times to obtain a multi-minimal surface three-dimensional model; wherein the preset interval is less than the side length of the corresponding unit cell structure;
[0050] S3 removing the structure not nested multiple times at the edge of the multi-minimal surface three-dimensional model;
[0051] S4 constructing a bottom plate of a preset thickness on a pair of side surfaces of the multi-minimal surface three-dimensional model after removing the redundant structure to obtain a low-frequency vibration isolation component model.
[0052] In step S1, first, the required isolation effect, frequency range, carrying capacity, and the like of the vibration isolator are determined according to the specific working condition. The required vibration isolation component and other parts cooperating with the vibration isolation component are designed and a three-dimensional model is generated, so that the entity model can meet the required isolation effect and carrying capacity of the vibration isolator under the working condition.
[0053] Specifically, according to different application conditions of the vibration isolator, the structural characteristics and related force vibration performance required by the vibration isolator are analyzed. Then, the Gibson-Ashby model is established, and the correlation between the Young's modulus and the volume fraction is obtained:
[0054]
[0055] wherein, , p is the density measured by the actual lattice structure, p s is the density of the matrix material, , is the elastic modulus of the porous structure, is the elastic modulus of the matrix material, are all proportional factors, is the relative density (volume fraction) of the lattice, b is the number of lattice pillars, j is the number of lattice nodes. When , the lattice is dominated by bending, and for the elastic modulus of the porous structure, the proportional factor is ; when , the lattice is dominated by stretching, and for the elastic modulus, the proportional factor is .
[0056] Then, based on the structural performance of the vibration isolator, the cell topology type and the multiple nesting mode of the minimal surface multi-point lattice metamaterial required by the vibration isolation component in the vibration isolator are determined. For example, according to the vibration isolation effect and the bearing capacity, the cell type, cell size, cell volume fraction, etc. of the minimal surface multi-point lattice metamaterial are determined, and the nesting number of the lattice structure is determined.
[0057] Specifically, in step S1, when the cell topology type is determined as the Gyroid surface, the corresponding nesting number can be selected as two, four and eight; when the cell topology type is determined as the IWP surface, the corresponding nesting number can be selected as two and four; when the cell topology type is determined as the Diamond surface, the corresponding nesting number can be selected as two and four.
[0058] In step S2, according to the different minimal surface cell topology types, the corresponding implicit function equation (control equation described below) is used to first form an array structure based on the corresponding cell structure model, and the array structure is a single minimal surface three-dimensional model which can meet the required structural characteristics and related force vibration performance of the vibration isolation component.
[0059] The control equations of the three single minimal surface three-dimensional models provided in the application are as follows:
[0060] The control equation of the Gyroid is:
[0061]
[0062] The control equation of IWP is:
[0063] The control equation of Diamond is:
[0064] Wherein, as shown in Figure 3 , a, b, c are the edge lengths of the unit cell structure constituting the different single minimal surface three-dimensional models, t is the unit cell volume fraction control parameter, x represents the corresponding x axis coordinates in the coordinate system, y represents the corresponding y axis coordinates in the coordinate system, z represents the corresponding z axis coordinates in the coordinate system. The deformation mechanism of the rods in each unit cell determines its stiffness and damping performance, and the deformation mechanism of the rods in Gyroid, Diamond, and IWP is dominated by bending.
[0065] Then, according to the different nesting multiplicity, the modeling software is used to decompose and nest the aforementioned single minimal surface three-dimensional model.
[0066] Specifically, in step S2, when the unit cell topological type is determined as a Gyroid surface, a plurality of Gyroid unit cells with an edge length of a are used to first construct a Gyroid single minimal surface model, and the Gyroid single minimal surface model is an array structure composed of a plurality of corresponding unit cells. As shown in Figure 3 , based on the corresponding nesting multiplicity, the Gyroid single minimal surface model is replicated multiple times along the preset direction at the preset interval to obtain a Gyroid multiple minimal surface model.
[0067] The step of replicating the Gyroid single minimal surface model multiple times along the preset direction at the preset interval to obtain a plurality of multiple minimal surface three-dimensional models as shown in Figure 4 is:
[0068] (1) The Gyroid single minimal surface model shown in Figure 4 is replicated at an interval of in the X-axis direction to obtain a Gyroid double minimal surface model;
[0069] (2) In order to obtain the Gyroid four-fold minimal surface model shown in Figure 4 , repeat step (1) to obtain the Gyroid double minimal surface model; then replicate the Gyroid double minimal surface model in the Y-axis direction at an interval of Copy the spacing to obtain the Gyroid quadruple minimal surface model;
[0070] (3) In order to obtain Figure 4 The Gyroid eight-fold minimal surface model shown in the figure is repeated in step (2) to obtain the Gyroid four-fold minimal surface model; the Gyroid four-fold minimal surface model is then respectively curved in the X-axis direction, the Y-axis direction and the Z-axis direction. Copy it at the same place, and the Gyroid octet minimal surface model can be obtained in the same way.
[0071] In step S2, when the unit cell topology type is determined to be an IWP surface, multiple side lengths are used. b The IWP single minimal surface model is constructed from the IWP unit cells. The IWP single minimal surface model is also an array structure composed of the corresponding unit cells. Based on the corresponding nesting multiplicity, the IWP single minimal surface model is replicated multiple times along the preset direction and at the preset spacing to obtain the IWP multiple minimal surface model.
[0072] like Figure 5 As shown in FIG, based on the corresponding nesting multiplicity, the steps of replicating the IWP single minimal surface model along the preset direction and at the preset spacing are as follows:
[0073] (1) Move the IWP minimal surface model along the X-axis Copy the spacing, and then copy along the Y axis. Copy at to obtain the IWP double minimal surface model;
[0074] (2) In order to obtain the IWP quadruple minimal surface model, first repeat step (1) to obtain the IWP double minimal surface model, and then the IWP double minimal surface model is Copy the spacing, and then copy along the Y axis. The IWP quadruple minimal surface model is obtained by copying the spacing.
[0075] In step S2, when the unit cell topology type is determined to be a Diamond surface, a Diamond single-layer minimal surface model is first constructed using multiple Diamond unit cell structures with a side length of c. The Diamond single-layer minimal surface model is an array structure composed of multiple Diamond unit cell structures. Based on the corresponding nesting multiplicity, the Diamond single-layer minimal surface model is replicated multiple times along a preset direction and at a preset spacing to obtain a Diamond multi-layer minimal surface model.
[0076] Specifically, such as Figure 6 As shown in the figure, based on the corresponding nesting multiplicity, the steps for replicating the Diamond single minimal surface model along the preset direction and at the preset spacing are as follows:
[0077] (1) Diamond's minimal surface model is oriented along the X-axis. Copy the spacing, and then copy along the Y axis. Copy it at to obtain the Diamond dual minimal surface model;
[0078] (2) In order to obtain the Diamond quadruple minimal surface model, repeat step (1) to obtain the Diamond double minimal surface model; then, the Diamond double minimal surface model is rotated along the X-axis in Copy the spacing, and then copy along the Y axis. Copy the spacing to obtain the Diamond quadruple minimal surface model.
[0079] In summary, the generation principle of the aforementioned minimal surface multi-point lattice metamaterial 3D models is as follows: first, a single minimal surface 3D model is constructed using the unit cell structure of the corresponding surface. This single minimal surface 3D model is then multiply decomposed and nested, converting the single point lattice with a large volume fraction into multiple point lattices with small volume fractions, which are then nested within each other to obtain minimal surface point lattice metamaterial 3D models with different nesting multiplies. For example, each time a single minimal surface 3D model is replicated along a preset direction and at a preset spacing, the volume fraction of the single minimal surface 3D model is reduced by half, thereby maintaining the volume fraction of the replicated multi-minimal surface 3D model at the original design value.
[0080] In step S3, the unnested edges of the obtained multiple minimal surface lattice metamaterial 3D models are removed. After removing the redundant single structures at the edges, the side length of the multiple minimal surface lattice metamaterial 3D model is equal to the side length of the initial single minimal surface 3D model in step S3.
[0081] In step S4, connecting plates with the required thickness for the vibration isolation component are designed on a pair of side surfaces of the 3D model of the multi-minimal surface lattice metamaterial after removing the edge portions, thereby obtaining the desired 3D model of the multi-minimal surface vibration isolation component. This 3D model of the vibration isolation component is then exported as an STL file, sliced, and imported into a laser powder bed fusion machine for processing.
[0082] The specific additive manufacturing method is: select nickel-titanium alloy materials, such as: 、 、 、 、 、 、 、 、 Any one of them can be used as the additive preparation material.
[0083] Appropriate working parameters are selected and LPBF forming (laser powder bed fusion technology) is carried out under the protection of inert gas. The working parameters can be selected as follows: laser power of 125w, scanning speed of 600mm / s, layer thickness of 30um, scanning spacing of 100um, and spot diameter of 50. Forming is carried out under the protection of inert gas argon to prepare multiple minimal surface lattice metamaterial vibration isolation components.
[0084] After forming, the multiple minimal surface lattice metamaterial vibration isolation component is post-processed: in-situ annealing is performed under the protection of inert gas to remove the internal thermal stress of the sample; the sample is separated from the substrate using a wire cutting process and sandblasted, finally obtaining a metamaterial vibration isolation component with a smooth surface and excellent performance.
[0085] Based on the three-dimensional models of other components in the initial design, corresponding components are prepared to support and fix the vibration isolation components, and combined to form the required vibration isolator.
[0086] In another embodiment, a vibration isolator is provided. The vibration isolator is a low-frequency vibration isolator and has a minimal surface multi-point array metamaterial low-frequency vibration isolation component designed by the design method of any of the above embodiments, such as Figures 7 to 9 As shown, the vibration isolator includes: a connecting cover 1, a base 2 and a vibration isolation component 11. The base 2 is provided with an open vibration isolation cavity 21, and the vibration isolation component 11 is provided in the vibration isolation cavity 21. The connecting cover 1 is connected to the base 2 to limit the vibration isolation component 11 in the vibration isolation cavity 21. Specifically, a bolt hole is opened in the middle of the connecting cover 1, as shown in FIG. Figure 10 As shown, the upper base plate of the vibration isolation component 11 is provided with a circular countersunk hole 14 corresponding to the bolt hole. Fastening bolts 6 are inserted into the bolt hole and the corresponding circular countersunk hole 14 to securely connect the connection cover 1 and the vibration isolation component 11. At the same time, the edge of the connection cover 1 and the base 2 are connected and secured by fixing bolts 8. The lower periphery of the base 2 is provided with multiple bolt holes 10 for connecting to external application equipment.
[0087] The bottom of the vibration isolation cavity 21 is provided with an implanted frame 7, such as Figure 11As shown, four square countersunk holes 15 are formed on the bottom edge of the vibration isolation component 11, and the implant frame 7 can be embedded into the square countersunk holes 15 to fix the vibration isolation component 11 and the vibration isolation cavity 21; the adjusting gasket 12 is arranged between the vibration isolation component 11 and the side wall of the vibration isolation cavity 21, and a plurality of adjusting screws 9 are symmetrically arranged on the side wall of the base 2, one end of the adjusting screw 9 is located in the vibration isolation cavity 21 and abuts on the adjusting gasket 12 to limit the vibration isolation component 11, and the adjusting gasket 12 can protect the vibration isolation component 11 from being damaged by the adjusting screw 9 of the handle. In addition, a sealing ring 5 is mounted on the circumference of the connection position of the connecting cover 1 and the base 2 for sealing. The lower rubber damping friction pad 3 is further sleeved on the outer side of the end of the base 2 away from the connecting cover 1, and the upper rubber damping friction pad 4 is sleeved on the outer surface of the end of the connecting cover 1 away from the base 2.
[0088] More specifically, the vibration isolation component 11 has a rectangular bottom plate with a thickness of 13mm-15mm at both upper and lower ends. The upper bottom plate is provided with a circular countersunk hole 14 for fastening. The lower bottom plate is provided with four shear-resistant square countersunk holes 15 with a depth of 13mm-15mm, a length of 6mm-9mm, and a width of 6mm-9mm, and each square countersunk hole can embed the implant frame 7.
[0089] The aforementioned lower rubber damping friction pad 3 adopts a thickened nail type neoprene rubber, which is anti-skid, safe, reduces noise transmission, and has a long service life. It also adopts a circular concave-convex design to increase friction and ensure that the base is more anti-skid and stable. The aforementioned upper rubber damping friction pad 4 selects NBR butyl rubber, which has low gas permeability, good oil resistance, impermeability to most general gases, and is suitable for heavy-duty environments with high sealing requirements.
[0090] The aforementioned sealing ring 5 selects HNBR hydrogenated nitrile rubber with corrosion resistance and compression deformation resistance, with a Shore hardness range of 70-95, and adopts an O-shaped rubber sealing ring heavy load step combination on the outer circumferential surface of the connection position of the connecting cover 1 and the base 2 to prevent dust, hard inclusions, and corrosive media from invading. Rubber sleeves are used to cover and seal the bolt countersunk holes for connecting the vibration isolation component 11 and the connecting cover 1 in the vibration isolator.
[0091] The aforementioned adjusting screw 9 is provided with a rotating handle 13 on the outer side of the end away from the vibration isolation component 11, and the rotating handle 13 can fix the adjusting screw 9 along the circumference of the vibration isolation component 11, wherein the compression limiting distance of the fixed nut on the adjusting screw 9 in the direction of each circular hole bearing is 0mm-3mm.
[0092] The aforementioned adjusting gasket 12 adopts a low compression modulus and large compression deformation elastic NR natural rubber sealing ring material, is not easy to swell in a medium, has a small thermal shrinkage effect, is used for buffering and connection in the installation and fixation of the vibration isolation component 11, fills the gap between the connection surfaces, increases the stress surface of the vibration isolation component 11, effectively relieves the interface stress concentration, increases the strength and fatigue resistance of the connection surface, and prevents the peeling of the connection interface during use.
[0093] Next, the technical solutions provided by the present application are described in detail through several embodiments in combination with actual application scenarios.
[0094] Embodiment 1
[0095] (1) The damper is installed between the shafting and the hull of the ship according to the needs, the vibration transmission relationship between the shafting and the hull is improved, the required damping frequency band is f=10-50Hz, the vibration isolation effect is 20dB-30dB, the working load is 8t, the rated working load is 10t, the maximum working load is 12t, the vertical stiffness is 900MPa. Therefore, according to experimental experience and historical data, the Gyroid double lattice structure is matched, and the material is selected.
[0096] The Young's modulus of the material is 47GPa, the Young's modulus of the double Gyroid structure with a volume fraction of 20% is 512.25MPa, and the Gibson-Ashby model is obtained as follows:
[0097]
[0098] According to the actual required Gyroid double lattice structure, the formula (1) and (5) are combined, the Gyroid double lattice structure with a volume fraction of 25%, a Young's modulus of 958.46MPa and a unit cell size of 8mm is matched, and the material is selected.
[0099] (2) According to the implicit function equation of the aforementioned Gyroid lattice structure, a single minimum surface three-dimensional model is established, which meets the required structural characteristics and related force vibration performance of the vibration isolation component.
[0100] (3) According to the nested number of two, the modeling software is used for decomposition and nesting to establish a double minimum surface three-dimensional model, which meets the required structural characteristics and related force vibration performance.
[0101] (4) The double minimum surface lattice structure and the three-dimensional model of other parts are exported as STL files, and are sliced and imported into the laser powder bed fusion equipment.
[0102] (5) Select appropriate working parameters, and perform LPBF forming under the protection of inert gas to prepare a multiple minimal surface lattice metamaterial vibration isolation component. Set the laser power to 125 w, the scanning speed to 600 mm / s, the layer thickness to 30 um, the scanning pitch to 100 um, and the spot diameter to 50 ; perform forming under the protection of inert gas argon.
[0103] (6) After forming, the vibration isolation component is post-processed. In-situ annealing treatment is performed under the protection of inert gas to remove internal thermal stress of the sample; the wire cutting process is used to separate the sample from the substrate, and sandblasting treatment is performed, finally obtaining a metamaterial vibration isolation component with a smooth surface and excellent performance.
[0104] (7) Assemble the vibration isolation component with other parts of the vibration isolator to obtain a vibration isolator with a Gyroid double minimal surface lattice structure metamaterial vibration isolation component.
[0105] Example 2
[0106] (1) The vibration isolator is installed on a large transport vehicle to alleviate the vibration influence of heavy load on the vehicle transport carrying platform when transporting large goods. The vibration reduction frequency band is f = 10-100 Hz, the vibration isolation effect is 35-45 dB, the working load is 15 t, the rated working load is 18 t, the maximum working load is 20 t, and the vertical stiffness 200 MPa. Therefore, according to experimental experience and historical data, a Gyroid eight-point lattice structure is matched, and materials are selected.
[0107] The Young's modulus of the material is 47 GPa, and the Young's modulus of the Gyroid eight-point lattice structure with a volume fraction of 20% is 152.55 MPa, which can obtain the Gibson-Ashby model:
[0108]
[0109] According to the actual required Gyroid eight-point lattice structure, combined with formula (1) and formula (6), the Gyroid eight-point lattice structure with a volume fraction of 22%, a Young's modulus of 214.18 MPa, and a unit cell size of 8 mm can be matched, and materials are selected for subsequent additive manufacturing.
[0110] (2) According to the implicit function equation of the Gyroid lattice structure, a single minimal surface three-dimensional model with a side length of 8 mm is established, so as to meet the required structure characteristics and related force vibration performance.
[0111] (3) According to the eight-fold nested number, the modeling software is used for decomposition and nesting to establish the eight-fold minimal surface three-dimensional model, so as to meet the required structural characteristics and related force vibration performance.
[0112] (4) The eight-fold minimal surface lattice structure and the three-dimensional model of other parts are exported as STL files, and are sliced and imported into the laser powder bed fusion equipment.
[0113] (5) The appropriate working parameters are selected, and the LPBF forming is carried out under the protection of inert gas to prepare the multiple minimal surface lattice metamaterial vibration isolation parts. The laser power is set to 125 w, the scanning speed is 600 mm / s, the layer thickness is 30 um, the scanning interval is 100 um, the spot diameter is 50 ; and the forming is carried out under the protection of inert gas argon.
[0114] (6) After forming, the metamaterial vibration isolation parts are post-processed. In-situ annealing treatment is carried out under the protection of inert gas to remove the internal thermal stress of the sample; the wire cutting process is used to separate the sample from the substrate, and sand blasting treatment is carried out, and finally the metamaterial vibration isolation parts with smooth surface and excellent performance are obtained.
[0115] (7) The vibration isolation parts and other parts of the vibration isolator are assembled to obtain the vibration isolator with Gyroid eight-fold minimal surface lattice structure metamaterial vibration isolation unit.
[0116] Example 3
[0117] (1) The vibration damper is installed on the aero-engine group (the weight of a single engine is more than 4t), and the engine support bottom plate is provided with a channel steel support. The vibration reduction frequency band is required to be f=100~200Hz, the vibration isolation effect is required to be 30~40dB, the working load is 4t, the rated working load is 4.5t, the maximum working load is 6t, and the vertical stiffness 400MPa. Therefore, according to experimental experience and historical data, the IWP four-point lattice structure is matched, and the material is selected.
[0118] The Young's modulus of the IWP four-point lattice structure with a volume fraction of 20% is 47GPa, and the Young's modulus of the IWP four-point lattice structure with a volume fraction of 20% is 259.13MPa, which can obtain the Gibson-Ashby model:
[0119]
[0120] According to the actual required IWP four-point lattice structure, the volume fraction of 24%, the Young's modulus of 467.06MPa, and the unit cell size of 8mm of the IWP four-point lattice structure are matched according to formula (1) and formula (7), and the The material is subjected to subsequent additive manufacturing.
[0121] (2) According to the implicit function equation of the IWP porous structure, a single minimum surface three-dimensional model is established to meet the required structural characteristics and related force vibration performance.
[0122] (3) According to the nested fourfold, the modeling software is used for decomposition and nesting to establish a fourfold minimum surface three-dimensional model to meet the required structural characteristics and related force vibration performance.
[0123] (4) The IWP fourfold minimum surface lattice structure and the three-dimensional model of other parts are exported as STL files, and are sliced and imported into the laser powder bed fusion equipment.
[0124] (5) Select appropriate working parameters, and perform LPBF forming under the protection of inert gas to prepare a multiple minimum surface lattice metamaterial vibration isolation component. The laser power is 125w, the scanning speed is 600mm / s, the layer thickness is 30um, the scanning interval is 100um, the spot diameter is 50 ; Forming is carried out under the protection of inert gas argon.
[0125] (6) After forming, the metamaterial vibration isolation component is post-processed. In-situ annealing treatment is carried out under the protection of inert gas to remove internal thermal stress of the sample; the sample is separated from the substrate by wire cutting process, and sand blasting treatment is carried out, and finally the metamaterial vibration isolation component with smooth surface and excellent performance is obtained.
[0126] (7) The vibration isolation component and other parts of the vibration isolator are assembled to obtain a vibration isolator with an IWP fourfold minimum surface lattice structure metamaterial vibration isolation component.
[0127] It can be understood that the detailed function implementation of each unit / module can be referred to the description in the foregoing method embodiments, which will not be repeated here.
[0128] It should be understood that the above device is used to execute the method in the above embodiment, and the corresponding program module in the device has similar implementation principles and technical effects to the description in the above method, and the working process of the device can be referred to the corresponding process in the above method, which will not be repeated here.
[0129] Based on the method in the above embodiment, the embodiment of the present application provides a computer readable storage medium, which stores a computer program, when the computer program runs on the processor, so that the processor executes the method in the above embodiment.
[0130] Based on the method in the above embodiment, the embodiment of the present application provides a computer program product, when the computer program product runs on the processor, so that the processor executes the method in the above embodiment.
[0131] It can be understood that the processor in the embodiments of the present application can be a central processing unit (CPU), and can also be other general-purpose processors, digital signal processors (DSP), application specific integrated circuits (ASIC), field programmable gate arrays (FPGA) or other programmable logic devices, transistor logic devices, hardware components or any combination thereof. The general-purpose processor can be a microprocessor or any conventional processor.
[0132] The method steps in the embodiments of the present application can be implemented in the form of hardware or by a processor executing software instructions. The software instructions can be composed of corresponding software modules, and the software modules can be stored in a random access memory (RAM), a flash memory, a read-only memory (ROM), a programmable ROM (PROM), an erasable PROM (EPROM), an electrically EPROM (EEPROM), a register, a hard disk, a mobile hard disk, a CD-ROM or any other form of storage medium well known in the art. An exemplary storage medium is coupled to the processor, so that the processor can read information from and write information to the storage medium. Of course, the storage medium can also be an integral part of the processor. The processor and the storage medium can be located in an ASIC.
[0133] In the above embodiments, all or part of the embodiments can be implemented by software, hardware, firmware or any combination thereof. When implemented by software, all or part of the embodiments can be implemented in the form of a computer program product. The computer program product includes one or more computer instructions. When the computer program instructions are loaded and executed on a computer, all or part of the processes or functions described in the embodiments of the present application are generated. The computer can be a general purpose computer, a special purpose computer, a computer network, or other programmable apparatus. The computer instructions can be stored in or transmitted by a computer readable storage medium. The computer instructions can be transmitted from one website, computer, server or data center to another website, computer, server or data center through a wired (such as coaxial cable, optical fiber, digital subscriber line (DSL)) or wireless (such as infrared, wireless, microwave, etc.) manner. The computer readable storage medium can be any available medium accessible by a computer or a data storage device such as a server, data center, etc. integrated with one or more available media sets. The available media can be a magnetic medium (such as a floppy disk, a hard disk, a magnetic tape), an optical medium (such as a DVD), or a semiconductor medium (such as a solid state disk (SSD)), etc.
[0134] It can be understood that various numerical numbers involved in the embodiments of the present application are only distinguished for convenience of description, and are not used to limit the scope of the embodiments of the present application.
[0135] Those skilled in the art easily understand that the above only describes the preferred embodiments of the present application and is not used to limit the present application. Any modification, equivalent replacement and improvement made within the spirit and principle of the present application should be included in the protection scope of the present application.
Claims
1. A design method of a low-frequency vibration isolation component of a minimal-surface multi-point array metamaterial, characterized in that, The method comprises the following steps: S1, determining a cell topology type and a nesting number of a required minimal surface multi-point array metamaterial, the cell topology type comprising a Gyroid minimal surface structure, an IWP minimal surface structure and a Diamond minimal surface structure; the Gyroid minimal surface structure corresponding to a nesting number of two, four or eight; the IWP minimal surface structure corresponding to a nesting number of two or four; and the Diamond minimal surface structure corresponding to a nesting number of two or four; S2, based on the cell topology type, constructing a Gyroid single-nested minimal surface model, an IWP single-nested minimal surface model and a Diamond single-nested minimal surface model by using corresponding cell structures, respectively; and based on the corresponding nesting number, copying the Gyroid single-nested minimal surface model, the IWP single-nested minimal surface model and the Diamond single-nested minimal surface model along a preset direction at a preset interval for a corresponding number of times to obtain a Gyroid multi-nested minimal surface model, an IWP multi-nested minimal surface model and a Diamond multi-nested minimal surface model, respectively; wherein the preset interval is smaller than the side length of the corresponding cell structure; S3, removing the structure not nested multiple times on the edge of the multi-nested minimal surface three-dimensional model; S4, constructing a bottom plate with a preset thickness on a pair of side surfaces of the multi-nested minimal surface three-dimensional model after removing the redundant structure to obtain the low-frequency vibration isolation component model.
2. The method of designing a low-frequency vibration isolation component of a minimal-surface multi-point-mass metamaterial according to claim 1, wherein, The side length of the single-nested minimal surface three-dimensional model is equal to the side length of the multi-nested minimal surface three-dimensional model after removing the redundant structure.
3. The method of designing a low-frequency vibration isolation component of a minimal-surface multi-point-mass metamaterial according to claim 1, wherein, In step S2, the step of copying the Gyroid single-nested minimal surface model along a preset direction at a preset interval for a plurality of times to obtain a multi-nested minimal surface three-dimensional model is: The Gyroid single minimal surface model is copied in the X-axis direction at a pitch of obtaining a Gyroid double minimal surface model, wherein, a is the edge length of the unit cell structure in the Gyroid single minimal surface model. The Gyroid double minimal surface model is copied in the Y-axis direction at a pitch of 0.1 to obtain a Gyroid fourfold minimal surface model. The Gyroid quadric minimal surface model is copied in the X-axis direction, the Y-axis direction and the Z-axis direction respectively to obtain a Gyroid octuple minimal surface model.
4. The method of designing a low-frequency vibration isolation component of a minimal-surface multi-point-mass metamaterial according to claim 1, wherein, The step of copying the IWP single-nested minimal surface model along a preset direction at a preset interval for a plurality of times based on the corresponding nesting number is: The IWP single-minimal surface model is copied along the X-axis direction at a pitch of and then copied along the Y-axis direction at a pitch of to obtain an IWP double-minimal surface model, wherein, b is the edge length of the unit cell structure in the IWP single-minimal surface model. The IWP doubly minimal surface model is copied along the X axis direction at a pitch of and then copied along the Y axis direction at a pitch of to obtain an IWP quadruply minimal surface model.
5. The method of designing a low-frequency vibration isolation component of a minimal-surface multi-point-mass metamaterial according to claim 1, wherein, The step of copying the Diamond single-nested minimal surface model along a preset direction at a preset interval for a plurality of times based on the corresponding nesting number is: The Diamond single minimal surface model is copied along the X axis direction at a pitch of and then copied along the Y axis direction at a pitch of to obtain a Diamond double minimal surface model, wherein, c is the edge length of the unit cell structure in the Diamond single minimal surface model. The Diamond double minimal surface model is copied along the X axis direction at a pitch of and then copied along the Y axis direction at a pitch of to obtain a Diamond four-fold minimal surface model.
6. An isolator characterized by, The vibration isolator comprises a connecting cover (1), a base (2) and a vibration isolation component (11), the model of the vibration isolation component (11) is obtained by the design method of any one of claims 1-5, the base (2) is provided with an open vibration isolation cavity (21), the vibration isolation component (11) is arranged in the vibration isolation cavity (21), and the connecting cover (1) and the base (2) are connected in a matched mode to close the opening of the vibration isolation cavity (21), so that the vibration isolation component (11) is limited in the vibration isolation cavity (21).
7. The vibration isolator of claim 6, wherein The bottom of the vibration isolation cavity (21) is provided with an implanting frame (7), the bottom surface of the vibration isolation component (11) is provided with a square countersunk hole (15), and the implanting frame (7) is embedded into the square countersunk hole (15); adjustment shims (12) are arranged between the vibration isolation component (11) and the side wall of the vibration isolation cavity (21); a plurality of pairs of adjusting screws (9) are arranged through the side wall of the base (2), one end of the adjusting screw (9) is located in the vibration isolation cavity (21) and abuts on the adjustment shim (12), so as to limit the vibration isolation component (11).
Citation Information
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