Negative Poisson's ratio vibration double-control damper structure design method
By designing a negative Poisson's ratio vibration dual-control damper, the synergistic operation of the negative Poisson's ratio cylinder and the high-damping inner core solves the problems of insufficient adaptability and post-earthquake recovery capability of traditional dampers in complex vibration environments. It realizes controllable energy dissipation and safety reserves of the damper under different earthquake levels, and meets the multi-dimensional vibration control needs of modern buildings.
Patent Information
- Application Number
- CN202511683714.1
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-11-17
- Publication Date
- 2026-02-10
AI Technical Summary
Existing dampers have poor adaptability to complex and variable vibration environments, insufficient post-earthquake recovery capabilities, and traditional damper materials have pollution problems, making it difficult to meet the multi-dimensional vibration control needs of modern buildings and infrastructure.
A negative Poisson's ratio vibration dual-control damper is designed. Through the coordinated work of the negative Poisson's ratio cylinder and the high-damping inner core, a continuous calculation model is established to realize energy amplification and directional coupling. By combining the coupling derivation of geometric parameters and material parameters, an analytical link is formed to realize the controllable energy dissipation of the damper under different earthquake magnitudes.
It improves the two-way damping capacity and response controllability of the damper, ensuring that it remains flexible in common earthquakes, fully dissipates energy in strong earthquakes, guarantees structural safety reserves and rational energy distribution, and has good versatility and engineering adaptability.
Smart Images

Figure CN121502845A_ABST
Abstract
Description
Technical Field
[0001] This invention belongs to the field of energy dissipation and vibration reduction in building structures, and relates to a structural design method for a negative Poisson's ratio vibration dual-control damper. Background Technology
[0002] Currently, various damper technologies have been proposed and applied in building structures. Existing technologies mainly include viscous dampers, friction dampers, and spring dampers. These devices absorb vibration energy, reduce structural response, and improve seismic resistance. However, traditional dampers are often only suitable for vibrations of specific frequencies, and their energy absorption mechanisms are relatively simple, making them unable to cope with complex and variable vibration environments. For example, the multi-stage damper disclosed in patent CN114457928A provides lateral resistance to wind loads through inner and outer sleeves and rubber pads, but under seismic action, it mainly relies on the shear of weak holes to dissipate energy. However, this design performs poorly in the face of high-frequency vertical vibrations, and its post-earthquake recovery design has flaws, making it unable to flexibly cope with vibration conditions of different frequencies. In addition, although the ring spring composite conical rubber vibration control device in patent CN222435586U can provide good vertical vibration isolation, it is difficult to effectively control vibrations from different sources in complex vibration environments (such as when high-frequency mechanical vibrations and low-frequency seismic vibrations coexist). The effectiveness of this device in densely trafficked areas such as subways is limited, and it cannot meet the needs for multi-dimensional vibration control. Furthermore, the three-dimensional shear-type vibration dual-control device in patent CN115030233A utilizes finger-jointed plates and high-damping rubber layers to achieve multi-directional vibration isolation and control. However, near high-frequency vibration sources such as rail transit, the material properties of this device (such as metallic materials) may lead to the transmission of high-frequency vibrations, resulting in lower-than-expected control efficiency, especially under the combined effects of earthquakes and mechanical vibrations, where its performance is unsatisfactory.
[0003] While these existing technologies have achieved certain results in their respective application fields, they still have some shortcomings, particularly in their poor adaptability to different frequencies and complex vibration conditions, and insufficient post-earthquake recovery capabilities. Furthermore, traditional dual-control vibration dampers generally use metals such as lead and tin as the main energy-consuming materials, resulting in significant pollution. Therefore, there is an urgent need for an environmentally friendly and efficient damper technology that can adapt to multi-frequency vibrations and possess stronger recovery capabilities to meet the increasingly complex vibration control needs of modern buildings and infrastructure. Summary of the Invention
[0004] This invention aims to solve the current problem of lacking a practical, scientific, efficient, and suitable design method for the structural parameters of negative Poisson's ratio vibration dual-control dampers for different buildings and needs.
[0005] The present invention solves the above-mentioned technical problems through the following technical means: A structural design method for a negative Poisson's ratio vibration dual-control damper, wherein the negative Poisson's ratio vibration dual-control damper includes a dual-control energy dissipation component, a load-bearing component, a limiting component, and a protective cover; the load-bearing component includes an upper load-bearing plate and a lower load-bearing plate, the dual-control energy dissipation component includes a negative Poisson's ratio cylinder and a high-damping inner core, located between the upper load-bearing plate and the lower load-bearing plate, the limiting component includes a limiting plate, fixed to the outer side of the load-bearing component, fixing the load-bearing component and the dual-control energy dissipation component, and the protective cover is disposed outside the dual-control energy dissipation component and placed in the middle of the load-bearing component; the structural design method for the negative Poisson's ratio vibration dual-control damper includes the following steps: S1. Input Settings and Target Determination: S1a. Initial Input Constraints: ① Structural Input: Inter-story shear force and displacement demand spectrum, story height, structural boundary, installation space, and interface stiffness; ② Seismic Input: Select representative seismic waves and define frequent and rare seismic intensities respectively; ③ Material and Manufacturing Constraints: Steel , Shell material 1. Manufacturing limits; 4. Setting trigger displacement; S1b. Target setting: ① Clarify dual control targets; ② Clarify structural response targets: inter-story drift angle, top floor and inter-story acceleration, base shear force meet the specifications and project targets; ③ Clarify engineering targets: mass, volume, replaceability, protective space; S2. Determination: Are the inputs and constraints complete? If complete, proceed to step S3; otherwise, return to step S1. S3. Determine the initial structural scheme: S3a. Cylindrical scheme: Select a single-layer or multi-layer negative Poisson's ratio cylindrical structure, and determine the number of circumferential elements. Average radius of cylinder S3b, Initial value of element: Rib feature length ,thickness Reentry angle and curvature parameters , or equivalent tilt angle Neck ratio S3c, Core Solution: Solid high-damping rubber or laminated rubber-steel sheet or cast elastomer, with a clearly defined rubber core. , , Parameter values; S3d, other parameter settings: shell thickness Annular gap With assembly preloading ; S4. Calculate equivalent parameters: S4a. Calculate geometric mapping; S4b. Calculate stiffness: ① Calculate the initial axial stiffness of the negative Poisson's ratio cylinder; ② Calculate the axial stiffness of the core; ③ Calculate the radial parallel stiffness; S4c. Calculate the trigger displacement; S4d. Calculate the yield threshold. S5. Determine whether the geometry and materials are manufacturable; if manufacturable, proceed to step S6; if not, return to step S3. S6, Target 1 Verification: S6a, Calculate stress; S6b, Target Verification: ① Does it satisfy the discrimination equation for frequent earthquakes? ② Does it satisfy the discrimination equation for rare earthquakes? S7. Determination: Whether the dual control is established; if established, proceed to step S8; if not established, optimize the parameters of target 1. S8. Target 2 Verification: S8a. Establish simulation models with and without dampers, using axial elasto-plastic and radial contact parallel connection for the device; S8b. Input three seismic waves into the software and combine frequent and rare earthquake conditions to obtain inter-story drift angle, inter-story and top-story acceleration, and base shear force; S8c. Compare with specifications and project targets. S9. Determination: Does the structural response meet the standard? If it does, proceed to step S10; if it does not, optimize the target 2 parameters. S10, Target 3 Verification: S10a, Construction and Deviation Sensitivity Verification: Judgment of tolerances, friction coefficient range, temperature sensitivity. Impact, check if the dual control window is still valid; S10b, fatigue and low-cycle life check: check the rib weakening area and core shear strain amplitude according to the set number of cycles; S10c, replaceability and maintenance check: shell protection, preload reset, limit and sliding component durability; S11. Determination: Whether robustness and engineering performance are satisfied; if satisfied, proceed to step S11; if not satisfied, optimize the target 3 parameters. S12, Output: S12a, Output finalization parameter table: S12b, Output verification report: inter-story drift angle, acceleration, base shear force comparison with / without device, and dual control criterion calculation table; S12c, Output manufacturing and installation key points: tolerances, preloading, maintenance strategy and post-earthquake replacement process.
[0006] This invention utilizes formula calculations and simulation software to iteratively optimize the initial parameter values of a negative Poisson's ratio vibration-controlled dual-control damper based on actual target requirements and relevant formulas. This process involves calculation, verification, and further calculation, until the final parameters of the damper meet the target requirements. This structural design method can quickly calculate the required damper parameters for different dual-control requirements, structural response requirements, and engineering robustness requirements of various buildings, providing theoretical support for the customization of negative Poisson's ratio vibration-controlled dual-control dampers.
[0007] Preferably, the specific method for step S1 is as follows: Determine the dual-control objectives that the designed damper needs to meet, clarify the structural response objectives and engineering objectives; the specific values depend on the actual engineering requirements. Input the inter-story shear force and displacement demand spectrum, story height, structural boundary, installation space, and interface stiffness structural parameters of the target building into the system. Select three types of seismic waves—two natural seismic waves and one man-made seismic wave—under frequent and rare conditions as experimental loads. Clarify the steel used to manufacture the negative Poisson's ratio vibration-controlled dual-control damper. , and shell material ; Establish limits for minimum rib thickness, minimum fillet radius, cutting and welding tolerances, and set trigger displacements. .
[0008] Preferably, the specific method of step S4 includes: calculating the stiffness of the cylinder: Using formula and formula Calculate the axial initial stiffness of the negative Poisson's ratio cylinder; Using formula , , and formula Calculate the axial stiffness of the high-damping inner core; Using formula Calculate the radial parallel stiffness of the damper.
[0009] Preferably, the specific method of step S4 further includes: triggering displacement calculation: Using formula The geometric mapping of the coupling relationship between axial compression and radial expansion of a negative Poisson's ratio cylinder is calculated, and then the formula is used. and formula Calculate the displacement under the two working conditions, and then use the provided formula. Calculate the trigger displacement.
[0010] Preferably, step S4 further includes: yield threshold calculation: Using formula , , ,
[0011] The controlled yield force of the element was calculated. ; then use the formula , Displacement calculation limit .
[0012] Preferably, step S6 specifically includes: stress calculation: using formula , , The displacement was calculated. .
[0013] Preferably, step S6 specifically includes: target verification: using the formula Calculate the displacement of three types of seismic waves (two natural seismic waves and one man-made seismic wave) and the axial force distribution of the cylinder under both frequent and rare earthquake conditions. Verify whether the damper meets the requirements under frequent earthquake conditions. and Rare earthquake and .
[0014] Preferably, step S7 is specifically implemented as follows: if the calculation result of step S6 satisfies the dual control objective, proceed to step S8; otherwise, optimize the following parameters as needed: increase... or reduce Thus increase (Advantageous to resisting multiple setbacks); Increase or reduce Thus increase (Avoid triggering multiple encounters); reduce or reduce Thus increase (Favorable for rare yielding); Increase This can reduce the frequent displacement; then the optimized data is brought into step S4 for recalculation.
[0015] Preferably, the specific method for step S9 is as follows: if the result of step S8 satisfies the target, proceed to step S10; otherwise, optimize the following parameters: increase... Alternatively, optimize contact coverage length to reduce rare interlayer angles and apical acceleration (limited self-reinforcement); increase Or increase slightly (Reduce acceleration); Optimize and The matching (reducing the base shear force) is then performed, and the optimized parameters are then substituted into step S4 for recalculation.
[0016] Preferably, the specific method for step S11 is as follows: if step S10 satisfies engineering performance and robustness, then proceed to step S12; otherwise, perform the following parameter optimization: increase... and ,improve Safety margin; local arc weakening and transition radius optimization to reduce stress concentration; standardize preload, identify replaceable parts, optimize maintenance window size, and then bring the optimized parameters into step S3 for recalculation.
[0017] The advantages of this invention are: (1) This invention establishes a continuous calculation model of "geometric deformation - radial expansion - lateral pressure response - controlled yielding" by introducing a negative Poisson's ratio re-entry structure into the core energy dissipation unit of the vibration-controlled damper. This model realizes the energy amplification and directional coupling effect of the negative Poisson's ratio unit under compression and shear coupling. The model can accurately reflect the coordinated mechanism of radial expansion of the outer shell and shear deformation of the inner core rubber, thereby realizing the synchronous energy dissipation of lateral deformation and vertical bearing under seismic action, and improving the bidirectional damping capacity and response controllability of the damper.
[0018] (2) The structural design method proposed in this invention is based on the coupled derivation of geometric parameters (reentry angle, rib thickness, characteristic length), material parameters (elastic modulus, yield stress) and force path, forming an analytical link of "external expansion to lateral pressure - element yield". By establishing the conversion relationship between external expansion displacement and normal lateral pressure and the quantitative calculation formula of element yield threshold, the yield state and triggering conditions at each stage can be accurately determined, realizing the calculable process of negative Poisson's ratio damper from displacement input to energy release, overcoming the defects of traditional dampers that rely on finite element trial calculation and empirical correction.
[0019] (3) This invention introduces a “dual-control criterion for vibration and seismicity” into the structural design method, using the yield strength ratio as the judgment standard: the nominal stress of frequent earthquakes is controlled below 60% of the yield strength, and the yield strength reaches more than 90% in rare earthquakes, thus entering a controlled yield state. This dual-threshold calculation criterion enables the damper to maintain elastic operation in frequent earthquakes and fully dissipate energy in strong earthquakes, forming a response characteristic of “no yielding in frequent earthquakes and controlled yielding in rare earthquakes”, effectively ensuring the safety reserve and rational energy distribution of the structure under different earthquake magnitudes.
[0020] (4) The calculation process of this invention constructs a multi-level calculation framework based on parameter determination and iterative optimization. By determining the yield displacement, trigger displacement, inter-story drift angle, acceleration and base shear force at each level, the method realizes the bidirectional optimization of structural performance and geometric parameters. When the calculation results do not meet the set conditions, the method can automatically backtrack and adjust the geometric, stiffness or material parameters to realize the self-iteration and convergence control of the calculation, thereby improving the accuracy and stability of the design.
[0021] (5) The structural design method of the present invention has good versatility and engineering adaptability. By establishing a quantitative mapping relationship between structural parameters and performance indicators, the present invention can realize the quantifiable design of structural parameters by back-deriving from performance requirements, providing unified theoretical and methodological support for the theoretical research, engineering design and standardized calculation of new dampers. Attached Figure Description
[0022] Figure 1 This is a schematic diagram of the structure of the negative Poisson's ratio vibration dual-control damper according to the first embodiment of the present invention; Figure 2This is an exploded view of the negative Poisson's ratio vibration dual-control damper according to the first embodiment of the present invention; Figure 3 This is a dimensioned diagram of the negative Poisson's ratio cylindrical unit of the negative Poisson's ratio vibration dual-control damper according to the first embodiment of the present invention; Figure 4 This is a top view of the negative Poisson's ratio vibration dual-control damper of the first embodiment of the present invention; Figure 5 This is a flowchart illustrating the structural design of the negative Poisson's ratio vibration dual-control damper according to the first embodiment of the present invention. Numbering on the map: 1. Dual-control energy-consuming components; 11. Negative Poisson's ratio cylinder; 12. High-damping inner core; 2. Bearing assembly; 21. Upper bearing assembly; 211. Upper bearing plate; 212. Upper bolt; 213. Upper nut; 214. Upper friction pad ring; 215. Upper fixing nut; 216. Upper fixing bolt; 22. Lower bearing assembly; 221. Lower bearing plate; 222. Lower bolt; 223. Lower nut; 224. Lower friction pad ring; 225. Lower fixing nut; 226. Lower fixing bolt; 3. Limiting assembly; 31. Limiting plate; 32. Bolts on the upper limiting plate; 33. Bolts on the lower limiting plate; 4. Protective cover. Detailed Implementation
[0023] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below in conjunction with the embodiments of the present invention. Obviously, the described embodiments are only some embodiments of the present invention, not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.
[0024] Example 1: Combination Figures 1-2 As shown, a negative Poisson's ratio vibration dual-control damper includes a dual-control energy dissipation component 1, a load-bearing component 2, a limiting component 3, and a protective cover 4. The dual-control energy dissipation component 1 includes a negative Poisson's ratio cylinder 11 and a high-damping inner core 12, used to achieve dual vibration control; the load-bearing component 2 is located on the upper and lower surfaces of the dual-control energy dissipation component 1, used to withstand vibrations from the upper part of the structure and provide stable foundation support; the limiting component 3 is used to fix the load-bearing component 2 and the dual-control energy dissipation component 1; the protective cover 4 is used to protect the dual-control energy dissipation component.
[0025] Specifically, according to Figures 1-4As shown in the figure, in this embodiment, the negative Poisson's ratio cylinder 11 is composed of multiple negative Poisson's ratio cylinder-shaped units, and these units are connected into a complete ring structure by welding. The negative Poisson's ratio cylinder-shaped unit is made of a negative Poisson's ratio material (such as a negative Poisson's ratio metal or composite material), and its geometric shape is designed as a curved shear cell, similar to the shape of the Chinese character "亞". Several such units are assembled in a ring to form a hollow cylinder with a radius of R and a height of H . When sheared, due to its negative Poisson's ratio characteristics, a radial expansion effect will occur, amplifying the energy absorption capacity and forming a multi-directional energy dissipation mechanism. The high-damping inner core 12 is made of a material with energy dissipation characteristics, such as high-damping rubber, laminated rubber-steel sheets (similar to LRB) laminated together or integrally cast. That is, the high-damping inner core 12 is composed of multiple circular cake-shaped high-damping materials with the same size laminated together or integrally formed. The high-damping inner core 12 is overall cylindrical, with a radius slightly smaller than R , and is placed entirely inside the negative Poisson's ratio cylinder, forming a circumferential gap between the negative Poisson's ratio cylinder 11; its height is slightly higher than the height of the negative Poisson's ratio cylinder 1 H . Since the height of the high-damping inner core 12 is higher than that of the negative Poisson's ratio cylinder 11, when a relatively small external force acts, the high-damping inner core 12 deforms first to absorb vibration energy. At this time, the negative Poisson's ratio cylinder 11 does not participate in yielding and energy dissipation, and small-amplitude vibration control is achieved by the high-damping inner core 12; when the high-damping inner core 12 is subjected to a relatively large external force, resulting in a change in its radius greater than the circumferential gap between the negative Poisson's ratio cylinder 11 and the high-damping inner core 12, at this time, the negative Poisson's ratio cylinder 11 is subjected to the outward expansion and shear action of the high-damping inner core 12, and the negative Poisson's ratio cylinder 11 and the high-damping inner core 12 enter the collaborative energy dissipation stage. The dual-control energy dissipation component 1 enables the damper to provide continuous shock absorption effects under different earthquake intensities, while avoiding the fatigue or failure problems that may occur in a single material, achieving dual control of vibration and earthquake.
[0026] As Figure 2 shown, in this embodiment, the bearing component 2 includes an upper bearing component 21 and a lower bearing component 22; the upper bearing component 21 includes an upper bearing plate 211, upper bolts 212, upper nuts 213, upper friction gasket rings 214, upper fixing nuts 215 and upper fixing bolts 216; the lower bearing component 22 includes a lower bearing plate 221, lower bolts 222, lower nuts 223, lower friction gasket rings 224, lower fixing nuts 225 and lower fixing bolts 226; the upper bearing plate 211 and the lower bearing plate 221 are two rectangular plate-shaped members with the same size and a certain thickness, and their length and width are both greater than the radius of the negative Poisson's ratio cylinder 11 RThe upper bearing plate 211 is located above the negative Poisson's ratio cylinder 11, and the lower bearing plate 221 is located below the negative Poisson's ratio cylinder 11. They are arranged symmetrically, and each has bolt holes on its four sides. Upper bolts 212 are located at the four corners of the upper wall of the upper bearing plate 211, with at least one bolt at each corner. The upper bolts 212 penetrate the upper bearing plate 211 and cooperate with the upper nuts 213 located on the lower wall of the upper bearing plate 211, fixing them at the four corners of the upper bearing plate 211. Lower bolts 222 are located at the four corners of the lower wall of the lower bearing plate 221, with at least one bolt at each corner. The lower bolts 222 penetrate the lower bearing plate 221 and cooperate with the lower nuts 223 located on the upper wall of the lower bearing plate 221, fixing them at the four corners of the lower bearing plate 221, serving as basic support components. The upper friction pad ring 214 has a radius larger than that of the negative Poisson's ratio cylinder. R However, the "cup-shaped" component, smaller than the length and width of the upper and lower support plates, consists of a circular plate and a ring of the same radius. The lower friction pad ring 224 is a component with the exact same shape as the upper friction pad ring. The upper friction pad ring 214 is located between the lower wall of the upper support plate 211 and the upper wall of the high-damping inner core 12, while the lower friction pad ring 224 is located between the upper wall of the lower support plate 221 and the lower wall of the high-damping inner core 12. These components protect the core and provide frictional resistance. The upper fixing bolt 216 passes sequentially from top to bottom through the upper support plate 211, the upper friction pad ring 214, and the upper wall of the negative Poisson's ratio cylinder 11, and cooperates with the upper fixing nut 215 to fix the upper support plate 211 and the upper friction pad ring 214 to the upper wall of the negative Poisson's ratio cylinder 11. The lower fixing bolt 226 passes through the lower bearing plate 221, the lower friction pad ring 224, and the lower wall of the negative Poisson's ratio cylinder 11 from bottom to top, and cooperates with the lower fixing nut 225 to fix the lower bearing plate 221 and the lower friction pad ring 224 to the lower wall of the negative Poisson's ratio cylinder 11. The circular plate side of the upper friction pad ring 214 is in close contact with the lower wall of the upper bearing plate 211, and the circular plate side of the lower friction pad ring 224 is in close contact with the upper wall of the lower bearing plate 221. The circular sides of the upper and lower friction pad rings 214 and 224 can cover the negative Poisson's ratio cylinder 11. When the negative Poisson's ratio cylinder 11 deforms, the circular ring can contact the cylinder body, limiting the cylinder deformation and enhancing energy dissipation. The upper bearing assembly 21 is mainly used to transmit the vibration from the upper part to the damper, while the lower bearing assembly 22 is mainly used to provide support for the entire damper, bearing the vibration from the upper part and effectively dispersing stress. The load-bearing component 2 is bolted, which allows for quick installation and disassembly, facilitating on-site equipment, routine maintenance, and post-earthquake repairs.
[0027] like Figure 2 As shown, in this embodiment, the limiting component 3 includes a limiting plate 31, a bolt 32 on the upper limiting plate, and a bolt 33 on the lower limiting plate. The length of the limiting plate 31 is greater than the height of the negative Poisson's ratio cylinder. HThe upper and lower load-bearing plate 211 is formed by an inward-curving cut in the middle, creating a waisted plate-like component that is wider at the top and bottom and narrower in the middle. Bolt holes are pre-drilled at both ends. The bolt holes on the upper side of the limiting plate 31 are oblong, while the bolt holes on the lower side are circular. Bolts 32 on the upper limiting plate, through the bolt holes in the limiting plate and the pre-drilled bolt holes in the upper load-bearing plate 211, fix the limiting plate 31 to the four sides of the upper load-bearing plate 211. Similarly, bolts 33 on the lower limiting plate, through the bolt holes in the limiting plate and the pre-drilled bolt holes in the lower load-bearing plate 221, fix the limiting plate 31 to the four sides of the lower load-bearing plate 221. The limiting assembly 3 connects the upper load-bearing assembly 21, the dual-control energy dissipation assembly 1, and the lower load-bearing assembly 22 into a single unit, forming a continuous force-bearing system and preventing the risk of local instability or separation of the vibration dual-control damper under large displacements. The upper part of the limiting plate 31 is designed with an elongated hole, which allows for a certain amount of slight displacement and relative slippage under seismic or wind-induced vibration, preventing premature stress concentration due to rigid constraints. The lower part of the limiting plate 31 is a circular hole, forming a rigid limit. When the displacement exceeds the design value, it acts as a forced constraint, ensuring that the damper does not undergo uncontrolled deformation. The arc-shaped surface cut off in the middle forms a local weakening zone. When the limiting plate 31 is subjected to alternating tension and compression, the arc-shaped area is the first to yield or undergo local plastic deformation, thereby dissipating energy. This plate, together with the vibration and shock control component 1, forms a multi-stage energy dissipation mechanism, improving the overall energy dissipation capacity of the damper. Especially under multiple cyclic loading, it can effectively disperse stress and prevent premature failure of a single component.
[0028] like Figure 2 As shown, in this embodiment, the protective cover 4 is a hollow cylindrical component with a radius slightly larger than the friction pad ring radius, but smaller than the length and width of the upper and lower bearing plates, and a height slightly higher than the negative Poisson's ratio cylinder 11. The protective cover 4 completely covers the entire damper cylinder structure area, including the upper and lower friction pad rings, the bolt connection area, the middle negative Poisson's ratio cylinder and high damping core area, and the bottom pressure-bearing connection area; the protective cover 4 consists of the following layers from the outside to the inside: an outer flame-retardant and heat-insulating layer: made of high-performance composite materials (such as fluorosilicone rubber coated with glass fiber fabric), which has high temperature resistance, flame retardancy and ultraviolet protection capabilities; a middle heat insulation layer: made of polyurethane foam, aerogel or closed-cell foam material, which effectively isolates the influence of external temperature fluctuations on the performance of the rubber core; an inner reinforced bonding layer: bonded to the outer wall of the metal cylinder or a square reinforced shell by high elastic sealant or structural adhesive to ensure long-term service stability; and an auxiliary wear-resistant inner lining layer (optional): if used in a dusty or frequently vibrating environment, an additional wear-resistant polymer inner lining can be added to improve service life. The overall enclosure is made by flexible molding or multi-piece splicing, which facilitates post-earthquake inspection or replacement of internal core units and is conducive to on-site installation and subsequent maintenance.
[0029] This application presents a structural design method for a negative Poisson's ratio vibration-controlled dual-control damper. In practical engineering applications, this method allows for targeted calculation of the structural parameters of the negative Poisson's ratio vibration-controlled dual-control damper to meet specific requirements under different building conditions, considering factors such as the seismic performance of the building structure and the robustness / engineering requirements of both the damper and the building. Combined with... Figure 5 The specific structural design method is as follows: (1) Idealized geometry and definition of degrees of freedom of a negative Poisson's ratio cylinder In practical construction, the negative Poisson's ratio cylindrical unit of this invention is preferably a re-entry type bent rib structure (i.e., its bent ribs are arranged in an inward folding manner, which generates a lateral expansion effect when subjected to axial tension, thereby realizing the negative Poisson's ratio characteristic) to ensure the full utilization of the negative Poisson's ratio effect. However, in the theoretical calculation process, for the convenience of calculation and establishing geometric relationships, the re-entry type bent rib is simplified to an equivalent straight rib for modeling and analysis, such as... Figure 3 As shown. This simplification does not change the essential mechanism of the negative Poisson's ratio effect and facilitates the provision of explicit equivalent design formulas. Negative Poisson's ratio cylindrical units are circumferentially closed to form a cylinder.
[0030] (2) Core height calculation Because the height of the high-damping inner core 12 needs to be slightly higher than the height of the negative Poisson's ratio cylinder 11, it can be the first to contact external stress, thus achieving first-contact-first-control of the core. Assume the height of the high-damping inner core 12 is... The height of the negative Poisson's ratio cylinder is set as The height difference between the two is set as Therefore, we can obtain , ,
[0031] In the formula, This indicates the pre-compression ratio (pre-deformation ratio) during assembly. It represents the percentage of the inner core that is compressed to its own height before assembly. To establish initial surface pressure, an empirical recommendation is 2%–5%; It represents the sum of manufacturing and lamination tolerances (including the "most unfavorable" sum of layer thickness differences, adhesive / film thickness differences, end face flatness, dimensional inspection errors, etc.). It ensures that even under the most unfavorable dimensional combination, there is still a positive height difference, and there will be no initial gap between the core and the end plate.
[0032] (3) Stiffness calculation ① Calculation of cylinder stiffness: Under frequent earthquakes, the vibration-controlled damper is mainly dominated by the high-damping inner core 12. Let the initial axial stiffness of the cylinder be set as... Because it is made by It is composed of cylindrical units with negative Poisson's ratio, and its calculation is as follows: To facilitate subsequent calculations and reduce parameter dimensionality, the negative Poisson's ratio cylindrical element is re-entered at the angle here. and inner angle Simplified to equivalent inclination angle equivalent tilt angle It is by and inner angle The combined function formed, let Treating each curved rib as an equivalent beam dominated by bending, we perform energy estimation: allowing small axial displacements... Corresponding rib end rotation increment Single-rib bending strain energy The total energy is obtained by connecting the two ribs in parallel. .according to and eliminate , can be obtained
[0033] but for:
[0034] in Controlled by boundaries and geometry, i.e. subject to Impact (among others) This represents the slenderness ratio of a negative Poisson's ratio cylindrical unit, specifically the net distance between the waists of the negative Poisson's ratio cylindrical unit. With rib feature length (ratio) In practical engineering, based on finite element calculations or empirical values, a value of 0.6–1.2 is used. This indicates that the ribs of the cylindrical unit are thicker than the negative Poisson's ratio. Indicates the characteristic length of the rib of the negative Poisson's ratio cylindrical unit; This represents the equivalent modulus of a cylindrical element with a negative Poisson's ratio. It represents the moment of inertia.
[0035] ② Core Stiffness Calculation: For ease of calculation, the multi-layer high-damping inner core, after radial compression-shear coupling, is equivalent to the overall modulus of an isotropic material. Here, the equivalent vertical modulus of the 12-core high-damping inner core is set as follows: Because the equivalent modulus of the high-damping inner core 12 is not only affected by the shear modulus... The influence is also affected by the geometric parameters of each component unit that makes up the high-damping inner core 12. Therefore, a dimensionless shape parameter is set here. This is used to represent the geometric influence coefficient caused by porosity, included angle, or structural constraint method; let the thickness of the single-layer core be... Let the cross-sectional area under the force be... Let the equivalent stiffness of the core under vertical compression be... The relevant calculation formula is: Total stiffness of high-damped core :
[0036] Let the equivalent modulus of all the layers of material constituting the high-damping core 12 be... , record the total N Layers, thickness The modulus of the interlayer polymer limiting film / adhesive layer (this is only an example; in practice, there can be many different bonding methods) is Thickness is ,but
[0037] Other layers, such as metal clips, can also be used. Incorporate directly.
[0038] For ease of calculation, it is assumed here that all layers comprising the high-damping inner core 12 have the same material and thickness (denoted as total thickness). N Layers, thickness The equivalent modulus is The total thickness is: ,
[0039] The corresponding total stiffness is:
[0040] The initial stiffness distribution of the core is calculated as follows:
[0041] In practical engineering, it can be done by using Reverse setting This ensures the flexibility of the high-damping inner core 12 and the overall comfort of the building.
[0042] In practical engineering applications, based on the above formula, the relevant parameters of the negative Poisson's ratio cylinder 11 and the high-damping inner core 12 can be precisely adjusted according to the actual needs of the project to meet the customized performance requirements of the negative Poisson's ratio vibration dual-control damper of this application.
[0043] (4) From “external expansion” to “lateral pressure” Treating the negative Poisson's ratio cylinder 11 and the high-damping inner core 12 as radial springs connected in centripetal parallel, the stiffness of the negative Poisson's ratio cylinder 11 is... The stiffness of the high-damping inner core 12 is The stiffness of the combined effect of the two is:
[0044] Therefore, the outward expansion is converted into normal lateral pressure:
[0045] in This refers to preloading during assembly. This formula calculates the lateral pressure. With vibration displacement There is a direct proportional relationship between them, meaning the greater the displacement, the greater the lateral pressure. This further illustrates that the device has a "self-reinforcing function." This formula can be used to guide the design of relevant parameters for the negative Poisson's ratio cylinder 11, that is: when experiencing frequent earthquakes, in order to ensure the comfort control of the high-damping inner core 12, it is permissible to... The value is relatively small; in the event of a rare earthquake, the target can be determined based on the actual engineering needs (such as significantly increasing friction or yield strength). To reverse the adjustment of the relevant parameters of the negative Poisson's ratio cylinder 11.
[0046] (5) Calculation of staged energy consumption triggering conditions When subjected to external loads, the high-damping inner core preferentially undergoes deformation, initiating initial energy dissipation. As the external force increases, the core deformation causes the change in core radius to exceed the gap between the core and the negative Poisson's ratio cylinder, at which point the negative Poisson's ratio cylinder begins to bear load, entering the second stage of energy dissipation. The energy dissipation trigger conditions for each stage are calculated as follows: Initial surface pressure calculation: The initial surface pressure after assembly is based on empirical values. (Initial surface pressure refers to the initial pressure between the inner core and the upper and lower pressure plates after assembly. It is used to ensure seamlessness, avoid early micro-slippage, and provide sufficient initial stiffness and frictional constraints for minor vibrations / wind-induced vibrations.) Assembly pre-compression amount set ,but:
[0047] The corresponding preload is set to :
[0048] Therefore, the initial surface pressure is
[0049] In the formula The equivalent modulus of the core. Indicates the pre-compression ratio (pre-deformation ratio) of the assembly; Let the circumferential gap between the negative Poisson's ratio cylinder 11 and the high-damping inner core 12 be the initial circumferential gap. This is used to control the initiation conditions for yielding or frictional energy dissipation. When the high-damped inner core 12 is subjected to external force and deforms, the inner high-damped inner core 12 comes into contact with the negative Poisson's ratio cylinder 11, triggering the frictional or extrusion energy dissipation mechanism. .
[0050] If, in actual engineering, the design objective is that only the high-damped inner core 12 is subjected to force, and the negative Poisson's ratio cylinder 11 does not participate in energy dissipation, then let the radial displacement of the high-damped inner core 12 under this condition be... Then, according to the calculation formula above, we can obtain: ,
[0051] Where r is the average radius of the cylinder. This represents the equivalent compressive displacement experienced by the cylinder in the axial direction (or interlayer direction). and Let represent the reentry angle and the convergence angle of the negative Poisson's ratio cylindrical unit, respectively. This indicates the slenderness ratio of the cylindrical unit with a negative Poisson's ratio; It is a geometric function describing the coupling relationship between axial compression and radial expansion of a negative Poisson's ratio cylinder, used to quantify the radius change Δr caused by axial displacement δ. (In the trigger formula...) The coefficient of friction plays the role of deformation amplification factor and is a key parameter for controlling trigger sensitivity and multi-stage yield sequence. When α is large, axial compression will produce significant radial expansion, the cylinder will be more sensitive to contact with the outer shell or friction ring, and the triggering will be earlier; when α is small, the radial expansion is slower, the triggering is later, and the device exhibits higher flexibility and delayed yielding.
[0052] When the displacement of the high-damping inner core 12 exceeds At this point, the lateral pressure is triggered, and the negative Poisson's ratio cylinder 11 participates in energy dissipation, while the upper and lower friction pad rings also contribute to frictional energy dissipation. If the actual engineering goal is to achieve frictional stability or improve the shape factor, i.e., to trigger the lateral pressure threshold, assuming the required normal force at this point is... And let the radial displacement of the high-damping inner core 12 under this working condition be set as Then, according to the previous formula, we can obtain:
[0053] To trigger both of the above working conditions uniformly, then:
[0054] In the formula, Indicates initial interface compression. This formula represents the parallel stiffness of the negative Poisson's ratio cylinder and the high-damping inner core. It can be used to calculate the displacement range with high energy dissipation. Designers can then use this formula to deduce the negative Poisson's ratio cylinder 11 based on actual engineering requirements. Isogeometric parameters and annular gap Initial compression of the interface Parallel stiffness This locks the "when to consume heavy energy" within the displacement domain of the design.
[0055] (6) Displacement Analysis Let the equivalent axial compressive displacement caused by a horizontal earthquake in the structure be denoted as . (Each unit is considered to be along the height of the negative Poisson's ratio cylinder 11) (Shortening of direction), linearization of small displacements.
[0056] Let the net distance at the waist of the negative Poisson's ratio cylindrical element be... The rib feature length is The equivalent width and equivalent height are respectively By differentiating the equivalent width and equivalent height, we can obtain:
[0057] By using chain rule differentiation:
[0058] Due to small displacement linearization: :
[0059] Assuming the closed cylinder is approximated, the tangential pitch of each element is considered as... Therefore:
[0060] in This is a correction factor for the circular curve after ring assembly, typically ranging from 0.9 to 1.1; when the cylindrical unit is laid with small turns on the ring, and There is a slight discrepancy.
[0061] Therefore, let the radius of the negative Poisson's ratio cylinder 11 be... The perimeter of the negative Poisson's ratio cylinder 11 for:
[0062] For small increments, the change in perimeter is:
[0063] Furthermore, the change in perimeter can also be expressed as:
[0064] so:
[0065] The constant here Set as Then the formula can be simplified to:
[0066] To balance the effects of the narrow throat and the actual influence of the end fillet, two geometric correction factors are introduced here: and
[0067] Obtain the engineering coefficients:
[0068]
[0069] This formula incorporates earthquake displacement. Transformed into cylinder radius expansion This is the only way to calculate lateral pressure. Calibration: Corrected by element finite element method or by experimental calibration (default range of 0.9-1.1).
[0070] (7) Calculation of vibration displacement The equivalent external force (generalized thrust of inter-story shear) at the same moment is denoted as V Overall balance during the line bullet stage:
[0071] but
[0072] Separate For the equivalent total stiffness, then
[0073] The axial force distributed by the cylinder is set as ,but
[0074] Analysis shows that the critical section of the negative Poisson's ratio cylinder 11 is located at the point of maximum curvature in the waist region. This involves distributing the axial force. The nominal maximum bending moment under action is set as Then its calculation formula is:
[0075] In the formula The support and bending moment distribution coefficients, derived from the bending rib stress profile, can be corrected and calibrated using finite element analysis, with values ranging from 0.25 to 0.35. This is due to the plastic section modulus per unit width. , Given the yield strength of the material used for the negative Poisson's ratio cylinder, and assuming a fully plastic bending moment of... , Then the plastic bending moment , The controlled yield force of the element is obtained:
[0076] The yield criterion (first yield in the linear elastic stage) is that the axially distributed force is greater than the controlled yield force of the element, i.e.:
[0077] ① Using this formula, the external force required for yielding can be directly calculated based on actual engineering needs (given geometry and materials, the timing of yielding can be derived):
[0078] That is, the external force must reach Only then did the curved rib yield for the first time.
[0079] ① Given the external force constraints of the design Or displacement limit The required rib thickness t is calculated by back-calculating under the target conditions: Limited by displacement For the goal:
[0080] Limited by external force For the target (including lateral pressure coupling):
[0081] The selection of design objectives depends on whether an earthquake is frequent or rare. a. Frequent earthquakes (ME) – Unyielding or just triggered unyielding Let the displacement under frequent earthquakes be... The external forces that occur during frequent earthquakes are , then The formula is:
[0082] Displacement condition:
[0083] Stress conditions:
[0084] Meeting both displacement and stress conditions simultaneously ensures that the load will not yield under frequent earthquake conditions. ); at the same time Control the damper to enter the friction / strong lateral pressure working zone in large quantities under frequent earthquake conditions, before or at the trigger threshold. b. Rare earthquake (RE) – must be controlled to yield and enter a highly energy-consuming phase. Let the displacement under a rare earthquake be... The external forces that occur during frequent earthquakes are , then The formula is:
[0085] Displacement condition:
[0086] Stress conditions:
[0087] Meeting the above conditions can guarantee performance under rare earthquake conditions. The above controlled yielding has triggered lateral pressure, friction, and amplitude limiting channels. This achieves the goal of "yielding only in strong earthquakes and consuming a lot of energy".
[0088] Therefore, the formula can be used to make the weakest part of the waist yield under controlled conditions during rare earthquakes, thereby achieving the goal of not yielding during frequent earthquakes and only yielding during strong earthquakes, reflecting the design goal of dual control of vibration and seismicity.
[0089] Example 2: Figure 5 This is a flowchart illustrating the application of a negative Poisson's ratio vibration dual-control damper structural design method according to the second embodiment of the present invention.
[0090] This invention provides a structural design method for a negative Poisson's ratio vibration dual-control damper, comprising: S1. Input Settings and Target Determination: S1a. Initial Input Constraints: ① Structural Input: Inter-story shear force / displacement demand spectrum, story height, structural boundary, installation space, and interface stiffness; ② Seismic Input: Select representative seismic waves and define frequent / rare seismic intensities respectively; ③ Material and Manufacturing Constraints: Steel , Shell material 1. Manufacturing limits (minimum rib thickness, minimum fillet radius, cutting / welding tolerance); 4. Setting trigger displacement; S1b. Target setting: ① Define dual control targets; ② Define structural response targets: inter-story drift angle, top floor / inter-story acceleration, base shear force, etc., to meet specifications and project targets; ③ Define engineering targets: mass, volume, replaceability, protective space, etc. The specific process of step S1 is as follows: Determine the dual control targets that the designed damper needs to meet, define the structural response targets and engineering targets. The specific values depend on the actual engineering needs; input the inter-story shear force and displacement demand spectrum, story height, structural boundary, installation space and interface stiffness structural parameters of the target building into the system; select two natural earthquake waves and one man-made earthquake wave under frequent and rare conditions as experimental loads; define the steel for manufacturing negative Poisson's ratio vibration dual control dampers. , and shell material ; Establish limits for minimum rib thickness, minimum fillet radius, cutting and welding tolerances, and set trigger displacements. .
[0091] S2. Determination: Are the inputs / constraints complete? If complete, proceed to step S3; otherwise, return to step S1. The specific process of step S2 is as follows: Carefully check whether any required parameters in step S1 are missing. If no parameters are missing, proceed to step S3; otherwise, return to step S1.
[0092] S3. Determine the initial structural scheme: S3a. Cylindrical scheme: Select a single-layer or multi-layer negative Poisson's ratio cylindrical shell (2 layers or 3 layers are alternative embodiments), and determine the number of circumferential units. Average radius of cylinder S3b, Initial value of element: Rib feature length ,thickness Reentry angle / curvature parameters ( , (or equivalent tilt angle) Neck ratio = / S3c, Core Solution: Solid high-damping rubber, laminated rubber-steel sheet (LRB-like), or cast elastomer, with the rubber core clearly defined. , , Parameters such as S3d and other parameters are used to set the shell thickness. Annular gap With assembly preloading The specific process of step S3 is as follows: Based on experience, the preliminary cylinder design is determined, and the number of negative Poisson's ratio cylinder layers and the number of circumferential elements are clarified. Average radius of cylinder Preliminary determination of the rib characteristic length of the negative Poisson's ratio cylindrical unit. ,thickness Reentry angle / curvature parameters ( , (or equivalent tilt angle) Neck ratio = / ; Identify the core type of the high-damping core and determine the core... , , Parameters such as: Determine the outer shell thickness Annular gap With assembly preloading .
[0093] S4. Calculate equivalent parameters; S41. Calculate geometric mappings. S42. Calculate stiffness: ① Calculate the initial axial stiffness of the NPR cylinder. ② Core axial stiffness ③ Radial parallel stiffness S43, Calculate the trigger displacement S44. Calculate the yield threshold: The specific process of step S4 is as follows: Calculation of the stiffness of the cylinder: using the formula... and formula Calculate the axial initial stiffness of the negative Poisson's ratio cylinder; use the formula , , and formula Calculate the axial stiffness of the high-damping inner core; using the formula Calculate the radial parallel stiffness of the damper; calculate the trigger displacement using the formula. The geometric mapping of the coupling relationship between axial compression and radial expansion of a negative Poisson's ratio cylinder is calculated, and then the formula is used. and formula Calculate the displacement under the two working conditions, and then use the provided formula. Calculate the trigger displacement; calculate the yield threshold using the formula. , , , The controlled yield force of the element was calculated. ; then use the formula , Displacement calculation limit .
[0094] S5. Check if the geometry and materials are manufacturable; if manufacturable, proceed to step S6; if not, return to step S3. The specific process of step S5 is as follows: Based on the relevant calculations in step S4, determine whether the input initial parameters can meet the manufacturability of the damper. If the input parameters can meet the manufacturability, proceed to step S6; if not, return to step S3 to re-input the parameters.
[0095] S6, Target 1 Verification: S6a, Calculate stress (equivalent static or time history peak generalized external force) ): , , S6b, Target Verification: ① Does it meet the requirements? and ② Whether it satisfies and The specific process of step S6 is as follows: Stress calculation: using the formula , , The displacement was calculated. Target verification: using formula Calculate the displacement of three types of seismic waves (two natural seismic waves and one man-made seismic wave) and the axial force distribution of the cylinder under the conditions of frequent and rare earthquakes, respectively, and verify whether the damper meets the requirements under the condition of frequent earthquakes. and Rare earthquake and .
[0096] S7. Determination: Is the dual control valid? If valid, proceed to step S8; if invalid, optimize the target parameter 1: ① Increase yield displacement: increase or reduce ② Delayed triggering: Increase or reduce ③ Reduce overall stiffness: decrease or reduce ④ Fine-tune the preload: Increase Then, the optimized parameters are substituted into step 4. The specific process of step S7 is as follows: If the calculation result of step S6 meets the dual control target, then proceed to step S8; if not, then optimize the parameters as follows: increase... or reduce Thus increase (Advantageous to resisting multiple setbacks); Increase or reduce Thus increase (Avoid triggering multiple encounters); reduce or reduce Thus increase (Favorable for rare yielding); Increase This can reduce the frequent displacement; then the optimized data is brought into step S4 for recalculation.
[0097] S8. Target 2 Verification: S8a. Establish a simulation model of the device with / without dampers, using axial elastic-plastic + radial contact parallel connection (including...). Residual stiffness after yielding S8b: Input three seismic waves into the software and combine them with frequent and rare earthquake conditions to obtain inter-story drift angle, floor / top acceleration, and base shear force; S8c: Compare with the specifications / project targets. The specific process of step S8 is as follows: In the simulation model, build two building seismic resistance control tests with a negative Poisson's ratio vibration dual-controlled damper and without a damper. The device uses axial elasto-plastic + radial contact parallel connection. Under frequent and rare earthquake conditions, input two natural seismic waves and one man-made seismic wave to obtain the corresponding values of inter-story drift angle, floor / top acceleration, and base shear force. Compare these values with the specifications or project targets to verify whether they meet the requirements.
[0098] S9. Judgment: Does the structural response meet the standard? If it does, proceed to step S10; if it does not, optimize the target parameter 2: ① Limit self-reinforcement: increase Alternatively, optimize the contact coverage length to reduce rare interlayer angles and apex acceleration; ② Reduce acceleration: increase Or increase slightly ③ Reduce base shear force: Optimize and The matching is then performed; the optimized parameters are then fed into step 4. The specific process of step S9 is as follows: if the result of step S8 meets the target, proceed to step S10; otherwise, perform the following parameter optimization: increase... Alternatively, optimize contact coverage length to reduce rare interlayer angles and apical acceleration (limited self-reinforcement); increase Or increase slightly (Reduce acceleration); Optimize and The matching (reducing the base shear force) is then performed, and the optimized parameters are then substituted into step S4 for recalculation.
[0099] S10, S10a, Construction and Deviation Sensitivity Check: Judgment of tolerances, friction coefficient range, and temperature sensitivity. The impact is checked to ensure the dual-control window is still valid; S10b, fatigue and low-cycle life verification: check the rib weakening zone and core shear strain amplitude according to the set number of cycles; S10c, replaceability and maintenance verification: shell protection, preload reset, and durability of limit / sliding parts. The specific process of step S10 is as follows: verify rib thickness, annular gap, preload tolerance, friction coefficient range, and temperature effect. Check whether the impact of the double control meets the engineering requirements, and recheck whether the double control meets the requirements; check whether the shear strain amplitude of the core in the rib weakening area meets the fatigue and low cycle life according to the set cycle number; then check whether the shell protection, preload reset, limit / sliding component durability, etc. meet the requirements of replaceability and easy maintenance.
[0100] S11, Determination: Does the robustness / engineering performance meet the requirements? If it does, proceed to step S11; if not, optimize the target parameter 3: ① Tolerance-friendly: Relax the tolerance. and ,improve Safety margin; ② Fatigue-friendly: local arc weakening and transition radius optimization to reduce stress concentration; ③ Construction and maintenance: standardized preload, replaceable components, and maintenance window size; then the optimized parameters are brought into step S3. The specific process of step S11 is as follows: if step S10 satisfies engineering and robustness requirements, proceed to step S12; otherwise, perform the following parameter optimization: increase and ,improve Safety margin; local arc weakening and transition radius optimization to reduce stress concentration; standardize preload, identify replaceable parts, optimize maintenance window size, and then bring the optimized parameters into step S3 for recalculation.
[0101] S12, Output: S12a, Output finalization parameter table: S12b, Output verification report: inter-story drift angle, acceleration, base shear force (frequent, rare, and three-wave statistics) with / without device comparison, and dual-control criterion calculation table; S12c, Output manufacturing and installation key points: tolerances, preloading, maintenance strategy, and post-earthquake replacement procedure. The specific process of step S12 is as follows: organize and output the damper parameters that finally meet the target, output the dual-control criterion calculation table, and generate manufacturing and installation key points.
[0102] It should be noted that, in this document, relational terms such as "first" and "second" are used merely to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. Terms such as "upper," "lower," "left," "right," "front," and "rear" used in the invention are merely for clarity of description and are not intended to limit the scope of the invention. Changes or adjustments to their relative relationships, without substantially altering the technical content, should also be considered within the scope of the invention.
[0103] The above embodiments are only used to illustrate the technical solutions of the present invention, and are not intended to limit it. Although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features. Such modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of the present invention.
Claims
1. A structural design method for a negative Poisson's ratio vibration dual-control damper, characterized in that, The negative Poisson's ratio vibration dual-control damper includes a dual-control energy dissipation component, a load-bearing component, a limiting component, and a protective cover; the load-bearing component includes an upper load-bearing plate and a lower load-bearing plate, the dual-control energy dissipation component includes a negative Poisson's ratio cylinder and a high-damping inner core, located between the upper load-bearing plate and the lower load-bearing plate, the limiting component includes a limiting plate, fixed to the outer side of the load-bearing component, fixing the load-bearing component and the dual-control energy dissipation component, and the protective cover is located outside the dual-control energy dissipation component and placed in the middle of the load-bearing component; The structural design method for the negative Poisson's ratio vibration dual-control damper includes the following steps: S1. Input Settings and Target Determination: S1a. Initial Input Constraints: ① Structural Input: Inter-story shear force and displacement demand spectrum, story height, structural boundary, installation space, and interface stiffness; ② Seismic Input: Select representative seismic waves and define frequent and rare seismic intensities respectively; ③ Material and Manufacturing Constraints: Steel , , shell material 1. Manufacturing limits; 4. Setting trigger displacement; S1b. Target setting: ① Clarify dual control targets; ② Clarify structural response targets: inter-story drift angle, top floor and inter-story acceleration, base shear force meet the specifications and project targets; ③ Clarify engineering targets: mass, volume, replaceability, protective space; S2. Determination: Are the inputs and constraints complete? If complete, proceed to step S3; otherwise, return to step S1. S3. Determine the initial structural scheme: S3a. Cylindrical scheme: Select a single-layer or multi-layer negative Poisson's ratio cylindrical structure, and determine the number of circumferential elements. Average radius of cylinder S3b, Initial value of element: Rib feature length ,thickness Reentry angle and curvature parameters , or equivalent tilt angle Neck ratio S3c, Core Solution: Solid high-damping rubber or laminated rubber-steel sheet or cast elastomer, with a clearly defined rubber core. , , Parameter values; S3d, other parameter settings: shell thickness Annular gap With assembly preloading ; S4. Calculate equivalent parameters: S4a. Calculate geometric mapping; S4b. Calculate stiffness: ① Calculate the initial axial stiffness of the negative Poisson's ratio cylinder; ② Calculate the axial stiffness of the core; ③ Calculate the radial parallel stiffness; S4c. Calculate the trigger displacement; S4d. Calculate the yield threshold. S5. Determine whether the geometry and materials are manufacturable; if manufacturable, proceed to step S6; if not, return to step S3. S6, Target 1 Verification: S6a, Calculate stress; S6b, Target Verification: ① Does it satisfy the discrimination equation for frequent earthquakes? ② Does it satisfy the discrimination equation for rare earthquakes? S7. Determination: Whether the dual control is established; if established, proceed to step S8; if not established, optimize the parameters of target 1. S8. Target 2 Verification: S8a. Establish simulation models with and without dampers, using axial elasto-plastic and radial contact parallel connection for the device; S8b. Input three seismic waves into the software and combine frequent and rare earthquake conditions to obtain inter-story drift angle, inter-story and top-story acceleration, and base shear force; S8c. Compare with specifications and project targets. S9. Determination: Does the structural response meet the standard? If it does, proceed to step S10; if it does not, optimize the target 2 parameters. S10, Target 3 Verification: S10a, Construction and Deviation Sensitivity Verification: Judgment of tolerances, friction coefficient range, temperature sensitivity. Impact, check if the dual control window is still valid; S10b, fatigue and low-cycle life check: check the rib weakening area and core shear strain amplitude according to the set number of cycles; S10c, replaceability and maintenance check: shell protection, preload reset, limit and sliding component durability; S11. Determination: Whether robustness and engineering performance are satisfied; if satisfied, proceed to step S11; if not satisfied, optimize the target 3 parameters. S12, Output: S12a, Output finalization parameter table: S12b, Output verification report: inter-story drift angle, acceleration, base shear force comparison with / without device, and dual control criterion calculation table; S12c, Output manufacturing and installation key points: tolerances, preloading, maintenance strategy and post-earthquake replacement process.
2. The structural design method for a negative Poisson's ratio vibration dual-control damper according to claim 1, characterized in that, The specific method for step S1 is as follows: Determine the dual control objectives that the designed damper needs to meet, clarify the structural response objectives and engineering objectives. The specific values depend on the actual engineering requirements. Input the inter-story shear force and displacement demand spectrum, story height, structural boundary, installation space and interface stiffness structural parameters of the target building into the system. Select three types of seismic waves as experimental loads: two natural seismic waves and one man-made seismic wave under frequent and rare conditions. Clearly define the steel used for manufacturing negative Poisson's ratio vibration dual-control dampers. , and shell material ; Establish minimum rib thickness, minimum fillet radius, cutting and welding tolerance limits, and set trigger displacements. .
3. The structural design method for a negative Poisson's ratio vibration dual-control damper according to claim 1, characterized in that, The specific methods for step S4 include: Stiffness calculation of the cylinder: Using formula and formula Calculate the axial initial stiffness of the negative Poisson's ratio cylinder; Using formula , , and formula Calculate the axial stiffness of the high-damping inner core; Using formula Calculate the radial parallel stiffness of the damper.
4. The structural design method for a negative Poisson's ratio vibration dual-control damper according to claim 1, characterized in that, The specific method for step S4 also includes: Triggering displacement calculation: Using formula The geometric mapping of the coupling relationship between axial compression and radial expansion of a negative Poisson's ratio cylinder is calculated, and then the formula is used. and formula Calculate the displacement under the two working conditions, and then use the provided formula. Calculate the trigger displacement.
5. The structural design method for a negative Poisson's ratio vibration dual-control damper according to claim 1, characterized in that, The specific method for step S4 also includes: Yield threshold calculation: Using formula , , , The controlled yield force of the element was calculated. ; then use the formula , Displacement calculation limit .
6. The structural design method for a negative Poisson's ratio vibration dual-control damper according to claim 1, characterized in that, Step S6 includes the following specific methods: Stress calculation: Using formula , , The displacement was calculated. .
7. The structural design method for a negative Poisson's ratio vibration dual-control damper according to claim 1, characterized in that, Step S6 further includes the following specific methods: Target verification: Using formula Calculate the displacement of three types of seismic waves (two natural seismic waves and one man-made seismic wave) and the axial force distribution of the cylinder under both frequent and rare earthquake conditions. Verify whether the damper meets the requirements under frequent earthquake conditions. and Rare earthquake and .
8. The structural design method for a negative Poisson's ratio vibration dual-control damper according to claim 1, characterized in that, The specific method for step S7 is as follows: If the calculation result of step S6 meets the dual control objective, proceed to step S8; otherwise, optimize the following parameters as needed: increase... or reduce Thus increase Increase or reduce Thus increase ;reduce or reduce Thus increase Increase This can reduce the frequent displacement; then the optimized data is brought into step S4 for recalculation.
9. The structural design method for a negative Poisson's ratio vibration dual-control damper according to claim 1, characterized in that, The specific method for step S9 is as follows: If the result of step S8 meets the target, proceed to step S10; otherwise, optimize the following parameters: increase... Alternatively, optimize the contact coverage length to reduce rare interlayer angles and apical accelerations; Increase Or increase slightly ;optimization and The matched parameters are then used in step S4 for recalculation.
10. The structural design method for a negative Poisson's ratio vibration dual-control damper according to claim 1, characterized in that, The specific method for step S11 is as follows: If step S10 satisfies engineering and robustness requirements, proceed to step S12; otherwise, optimize the following parameters: increase... and ,improve Safety margin; local arc weakening and transition radius optimization to reduce stress concentration; standardize preload, identify replaceable parts, optimize maintenance window size, and then bring the optimized parameters into step S3 for recalculation.