CN114703905A - Three-order magic cube type low-frequency damping earthquake glume plate structure - Google Patents
Three-order magic cube type low-frequency damping earthquake glume plate structure Download PDFInfo
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- E—FIXED CONSTRUCTIONS
- E02—HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
- E02D—FOUNDATIONS; EXCAVATIONS; EMBANKMENTS; UNDERGROUND OR UNDERWATER STRUCTURES
- E02D31/00—Protective arrangements for foundations or foundation structures; Ground foundation measures for protecting the soil or the subsoil water, e.g. preventing or counteracting oil pollution
- E02D31/08—Protective arrangements for foundations or foundation structures; Ground foundation measures for protecting the soil or the subsoil water, e.g. preventing or counteracting oil pollution against transmission of vibrations or movements in the foundation soil
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Abstract
The invention discloses a three-order magic square type low-frequency damping earthquake glume plate structure which is composed of rubber and a heavy metal material depleted uranium, wherein a unit cell is extended around a building foundation along two vertical directions of a horizontal plane to form an integral earthquake glume plate structure, and the unit cell of the earthquake glume plate structure is composed of a rubber layer, a rubber block and a depleted uranium block. The single cell is extended in the ground surface horizontal plane at the periphery of the building foundation and is used for attenuating the damage of the seismic lamb wave to the protected building in the earthquake, and the frequency range of the seismic lamb wave which can be attenuated is 0-13Hz by utilizing the band gap characteristic of the designed structure. According to the three-order magic square type low-frequency damping earthquake metamaterial structure designed by the invention, the size, the material and the arrangement form of the structure of each component can be adjusted according to geological environment conditions and building structure requirements, the flexibility of the structure is improved on the premise of ensuring the earthquake-resistant performance, and the three-order magic square type low-frequency damping earthquake metamaterial structure has a larger earthquake-resistant benefit.
Description
Technical Field
The invention relates to a three-order magic cube type low-frequency damping seismic metamaterial structure which has good reflection and attenuation effects on low-frequency seismic lamb waves.
Background
China is a country with frequent earthquakes, is mostly located in Eurasia seismic zones or the Pacific ocean seismic zones in China, and has active earthquake activities in North China, northwest China, Taiwan areas and sea areas nearby the Taiwan areas, Guangdong in southeast coast, Fujian and other places. The earthquake can not only cause the damage of building groups, cause secondary disasters such as fire disasters, tsunamis and the like, cause a large amount of casualties and economic property loss, but also cause the paralysis of cities due to the damage of the earthquake on life line projects, and increase the difficulty of subsequent city recovery projects and rescue work. Therefore, the research on how to ensure that various lifeline projects still normally run after encountering an earthquake has important practical significance.
The seismic waves are divided into longitudinal waves, transverse waves and surface waves, the surface waves are mixed waves with large wave length and high amplitude generated by excitation after the transverse waves and the longitudinal waves collide with each other on the earth surface, the resonance of buildings is easily caused by the surface waves in a low frequency range, and the surface waves are the most main factors causing the damage of the buildings in the earthquake, so the seismic surface waves are main research objects of most experts and scholars. However, when an earthquake occurs, the seismic lamb waves generated under some special geological conditions sometimes have great destructive effect on the building structure.
The seismic metastructure is a composite structure which is artificially designed and is formed by periodically arranging and combining unit cells, and different structures which can attenuate seismic waves of various different frequency bands can be theoretically designed by adjusting materials or sizes of the structures. The invention designs a novel earthquake metasoma structure by adopting rubber and heavy metal material depleted uranium, can attenuate low-frequency-band earthquake waves with wider band gaps, and has great practical significance for some large-scale lifeline projects, such as earthquake fortification of hospitals, power stations and the like.
Disclosure of Invention
The invention designs a three-order magic square type low-frequency damping earthquake metamaterial structure, which is mainly arranged at the periphery of a building foundation aiming at the earthquake-resistant problem of some major lifeline projects, and can attenuate earthquake lamb waves in an all-around manner, thereby reducing the damage of the earthquake to the building to the maximum extent, maintaining the normal operation of an earthquake-caused urban survival function system, and reducing the maintenance and repair cost after the disaster.
The invention relates to a three-order magic cube type low-frequency damping seismic metamaterial structure, wherein a structural unit cell is composed of rubber and a heavy metal material depleted uranium, the unit cell is extended around a building foundation along two vertical directions of a horizontal plane to form an integral seismic metamaterial structure, and the seismic metamaterial structure unit cell is composed of a rubber layer (1), a rubber block (2) and a depleted uranium block (3). The inner layer of the structure is a 3 multiplied by 3 combined cube formed by arranging 13 rubber blocks (2) and 14 uranium depleted blocks (3) with the same size at intervals, and the center of the combined cube is the rubber block; the outer layer is a rubber layer (1) which uniformly wraps the combined cube to enable the whole structure to be cube-shaped, and the geometric center of the rubber layer (1) and the geometric center of the inner layer combined cube are located at the same position.
The side length of the outer surface of the rubber layer (1) is 0.8m, the side length of the inner surface is 0.6m, and industrial rubber is selected. The side lengths of the rubber blocks (2) and the depleted uranium blocks (3) are 0.2m, the rubber blocks (2) are made of industrial rubber, and the depleted uranium comes from treated nuclear waste.
The structure of the invention is annularly arranged around the foundation of the building, the horizontal distance from the structure to the building is 7m, and the upper surface of the structure is flush with the ground surface. The outermost dimension of the periodic structure finally formed by the invention is not smaller than the dimension of the building foundation.
The technical scheme of the invention is as follows:
the invention relates to a three-order magic cube type low-frequency damping earthquake metamaterial structure which is formed by extending designed unit cells in a ground surface horizontal plane at the periphery of a building foundation, is used for attenuating the damage of earthquake lamb waves to a protected building in an earthquake, mainly utilizes the band gap characteristic of the designed structure, and has the frequency range of the earthquake lamb waves which can be attenuated being 0-13 Hz.
The rubber blocks (2) and the depleted uranium blocks (3) are cube blocks with the same size, 13 rubber blocks (2) and 14 depleted uranium blocks (3) are arranged at intervals to form a 3X 3 combined cube, and the center of the combined cube is the rubber block.
The rubber layer (1) is a cube with a hollow interior, a combined cube formed by the rubber blocks (2) and the depleted uranium (3) is located in the rubber layer, and the outer surface of the combined cube is in contact with the inner surface of the rubber layer (1).
The combined cube formed by the rubber blocks (2) and the depleted uranium blocks (3) is the same as the geometric center of the rubber layer (1).
The unit cell formed by the rubber layer (1), the rubber block (2) and the depleted uranium block (3) is of a three-axis symmetrical cubic structure.
The three-order magic square type low-frequency damping seismic metamaterial structure designed by the invention is prepared from different materials.
The material of the three-order magic square type low-frequency damping earthquake metamaterial structure designed by the invention comprises rubber and depleted uranium. Referring to FIGS. 1 and 2, the rubber density ρ1＝1300kg/m3(ii) a Young's modulus E1＝1.02×105Pa; poisson ratio gamma10.47; density p of depleted uranium2＝19100kg/m3(ii) a Young's modulus E2＝1.77×1011Pa; poisson ratio gamma2＝0.25。
Compared with the known anti-seismic and shock-absorbing structure and method, the invention has at least the following advantages:
1) the invention utilizes a photonic crystal theory, and the designed three-order magic square type low-frequency damping seismic metamaterial structure is a special periodic structure with band gap characteristics, and the structure can control and attenuate the frequency range of seismic lamb waves within 0-13 Hz. The three-order magic square type low-frequency damping earthquake metamaterial structure is characterized in that the three-order magic square type low-frequency damping earthquake metamaterial structure is arranged on the bottom of a building, and the three-order magic square type low-frequency damping earthquake metamaterial structure is arranged on the bottom of the building.
2) The seismic metamaterial plate structure designed by the invention has a good attenuation control effect on seismic lamb waves within a low-frequency range of 0-13Hz, and also has a certain attenuation control effect on elastic surface waves within the same frequency range.
3) The seismic metamaterial structure designed by the invention is not directly connected or contacted with a building structure, but is annularly arranged along the periphery of a building foundation. The structure can shield the seismic surface wave in the band gap range, so that the seismic surface wave cannot act on a building through the designed structure.
4) Furthermore, if the resonance frequency of the building protected by the structure is within the band gap range of the structure, when an earthquake comes, the lamb waves of the earthquake are attenuated and isolated by the structure, and the damage effect on the building is obviously reduced.
5) The three-order magic square type low-frequency damping earthquake metamaterial structure designed by the invention is mainly formed by splicing and pouring cube blocks, and has the advantages of simple structure, easiness in production and manufacturing, and simplicity in processing, construction and operation.
6) According to the three-order magic square type low-frequency damping earthquake metamaterial structure designed by the invention, the rubber material required for manufacturing is a common building industrial material, the rubber material is easy to obtain, the cost required for obtaining is low, the adopted heavy metal material depleted uranium can adopt the treated nuclear waste, and a new outlet is found for utilization of the nuclear waste depleted uranium.
7) According to the three-order magic square type low-frequency damping earthquake metamaterial structure designed by the invention, the sizes, materials and structural arrangement forms of all components of the structure can be adjusted according to geological environment conditions and building structure requirements, the flexibility of the structure is improved on the premise of ensuring earthquake resistance, and great earthquake resistance benefits are achieved.
Drawings
Fig. 1 is a three-order magic square type low-frequency damping earthquake metamaterial plate structure unit cell provided by the invention.
Fig. 2 is a central axis sectional view of a three-order magic square type low-frequency damping seismic metamaterial structure unit cell provided by the invention.
Fig. 3 is a structural diagram of energy bands of a three-order magic square type low-frequency damping seismic metamaterial structure provided by the invention.
Fig. 4 is a seismic metasurface structure transmission spectrum composed of 8 × 10 rows of the magic cube type low-frequency damping seismic metasurface structure unit cells provided by the present invention, and in order to simulate propagation of lamb waves in a seismic metasurface structure, incident waves polarized in x and y directions are applied to the surface between a perfect matching layer and homogeneous soil.
Wherein: 1. a rubber layer; 2. a rubber block; 3. a uranium depleted block.
Detailed Description
Embodiments of the present invention will be described in detail below with reference to the accompanying drawings.
The three-order magic square type low-frequency damping earthquake metamaterial plate structure unit cell consists of a rubber layer (1), a rubber block (2) and a depleted uranium block (3).
In the first step, 13 rubber blocks (2) and 14 uranium-poor blocks (3) which are the same in size and in the shape of a cube are manufactured, and the side length of the cube is 0.2 m.
The rubber blocks (2) are used as the center, the rubber blocks (2) and the depleted uranium blocks (3) are alternately arranged, the 27 cube blocks form a 3 x 3 combined cube with the side length of 0.6m, 4 corners and the center of each face of the combined cube are depleted uranium blocks (3), and the rest parts are the rubber blocks (2).
And then, a rubber layer (1) is poured on the periphery of the combined cube to form the orthocubic unit cell with the final side length of 0.8m, and the geometric center of the rubber layer (1) is positioned at the same position as that of the combined cube.
The contact surface of each rubber block (2) and the depleted uranium block (3) is tightly attached. The inner surface of the rubber layer (1) is tightly attached to the outer surface of the combined cube.
And repeating the steps to manufacture the seismic metasequ structure unit cells with the required number, digging soil pits around the building foundation, and arranging the soil pits along the circumference of the building foundation in an annular manner.
As shown in figures 1 and 2, the side length of the outer surface of a rubber layer (1) of the three-order magic square type low-frequency damping earthquake metamaterial plate structure unit cell is 0.8, the side length of the inner surface is 0.6, and industrial rubber is selected. The side lengths of the rubber block (2) and the depleted uranium block (3) are 0.2m, and the rubber block (2) is made of industrial rubber. Depleted uranium employs treated nuclear waste.
The specific material parameters are as follows:
rubber: density p1＝1300kg/m3(ii) a Young's modulus E1＝1.02×105Pa; poisson ratio gamma1＝0.47；
Depleted uranium: density p2＝19100kg/m3(ii) a Young's modulus E2＝1.77×1011Pa; poisson ratio gamma2＝0.25；
Fig. 3 shows an energy band structure diagram of a low-frequency damping seismic metasplas structure designed by the present invention. The light gray area of the figure gives the range of seismic lamb wave frequencies that the designed structure can control or attenuate, i.e., the full band gap range. The band gap is mainly in the low frequency range of 0-13Hz, and a full band gap is formed: 4.54Hz-9.98Hz, and the total width of the band gap is 5.44 Hz.
Fig. 4 shows a transmission spectrum of the three-order magic square type low-frequency damping seismic metamaterial structure designed by the invention. And taking an integral seismic metamaterial structure consisting of 8 multiplied by 10 rows of three-order magic cube type low-frequency damping seismic metamaterial structures, and selecting a position 5m away from the integral seismic metamaterial structure to excite lamb waves along the X direction and the Y direction during calculation so as to obtain a transmission spectrum of the structure. The light grey areas in the figures show the full band gap which is substantially consistent with the band structure diagram, and the results shown in figures 3 and 4 are consistent with the fact that the seismic metastables are theoretically effective in attenuating seismic lamb waves in the full band gap range.
In conclusion, the magic cube type low-frequency damping earthquake metamaterial structure designed by the invention is simple in structure and wide in material source, and is convenient for mass production in factories. The method provides a new idea for the treatment of the nuclear waste lean uranium while realizing the control and attenuation of earthquake lamb waves to reduce the destructive effect of the earthquake on heavy buildings and maintain the operation of the urban lifeline engineering after the earthquake.
Claims (6)
1. The utility model provides a magic cube type low frequency shock attenuation earthquake glume plate structure which characterized in that: the single cell is extended in the horizontal surface plane at the periphery of the building foundation and is used for attenuating the damage of seismic lamb waves to a protected building in an earthquake, and the frequency range of the seismic lamb waves which can be attenuated is 0-13Hz by utilizing the band gap characteristic of the designed structure; the unit cell of the three-order magic square type low-frequency damping earthquake glume plate structure is composed of rubber and a heavy metal material depleted uranium, and the unit cell is extended around the building foundation along two vertical directions of a horizontal plane to form the integral earthquake glume plate structure; the unit cell consists of a rubber layer (1), a rubber block (2) and a depleted uranium block (3); the inner layer of the unit cell is a 3 multiplied by 3 combined cube formed by arranging 13 rubber blocks (2) and 14 uranium depleted blocks (3) with the same size at intervals, and the center of the combined cube is the rubber block; the outer layer of the unit cell is a rubber layer (1) which uniformly wraps the combined cube, and the geometric center of the rubber layer (1) and the geometric center of the inner layer combined cube are positioned at the same position.
2. The three-order magic square type low-frequency damping earthquake metamaterial structure according to claim 1, wherein: the rubber layer (1) is made of industrial rubber; the rubber block (2) is made of industrial rubber, and the depleted uranium comes from treated nuclear waste.
3. The three-order magic square type low-frequency damping earthquake metamaterial structure according to claim 1, wherein: the three-order magic square type low-frequency damping earthquake glume plate structure consisting of the unit cells is annularly arranged around the foundation of the building, the horizontal distance from the building is 7m, and the upper surface of the structure is flush with the ground surface; the outermost dimension of the formed periodic structure is not smaller than the dimension of the building foundation.
4. The three-order magic square type low-frequency damping earthquake metamaterial structure according to claim 1, wherein: the rubber layer (1) is a cube with a hollow interior, a combined cube formed by the rubber blocks (2) and the depleted uranium (3) is located in the rubber layer, and the outer surface of the combined cube is in contact with the inner surface of the rubber layer (1).
5. The three-order magic square type low-frequency damping earthquake metamaterial structure according to claim 1, wherein: the combined cube formed by the rubber blocks (2) and the depleted uranium blocks (3) is the same as the geometric center of the rubber layer (1).
6. The three-order magic square type low-frequency damping earthquake metamaterial structure according to claim 1, wherein: the unit cell formed by the rubber layer (1), the rubber block (2) and the depleted uranium block (3) is of a three-axis symmetrical cubic structure.
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| CN112554242A (en) * | 2020-12-06 | 2021-03-26 | 北京工业大学 | Low-frequency band-gap five-hole seismic metamaterial structure |
| WO2021209500A1 (en) * | 2020-04-14 | 2021-10-21 | Rijksuniversiteit Groningen | Three-dimensional metamaterial for wave attenuation, unit cell of a three-dimensional metamaterial, method for manufactering of a metamaterial, computer program for 3d printing a metamaterial |
| CN113684866A (en) * | 2021-06-17 | 2021-11-23 | 北京工业大学 | Low-frequency wide-band-gap seismic glume-plate structure containing depleted uranium |
-
2022
- 2022-03-12 CN CN202210239822.XA patent/CN114703905A/en active Pending
Patent Citations (7)
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|---|---|---|---|---|
| US20140174001A1 (en) * | 2012-12-17 | 2014-06-26 | The University Of Houston | Periodic material-based seismic isolation system |
| CN107289055A (en) * | 2017-07-12 | 2017-10-24 | 广东科学技术职业学院 | The magnetorheological vibration isolating suspension of three-dimensional tunable locally resonant type Meta Materials |
| CN110080312A (en) * | 2019-03-19 | 2019-08-02 | 中国地质大学（武汉） | A kind of earthquake Meta Materials |
| WO2021209500A1 (en) * | 2020-04-14 | 2021-10-21 | Rijksuniversiteit Groningen | Three-dimensional metamaterial for wave attenuation, unit cell of a three-dimensional metamaterial, method for manufactering of a metamaterial, computer program for 3d printing a metamaterial |
| CN112554169A (en) * | 2020-12-06 | 2021-03-26 | 北京工业大学 | Square pile seismic surface wave metasurface structure |
| CN112554242A (en) * | 2020-12-06 | 2021-03-26 | 北京工业大学 | Low-frequency band-gap five-hole seismic metamaterial structure |
| CN113684866A (en) * | 2021-06-17 | 2021-11-23 | 北京工业大学 | Low-frequency wide-band-gap seismic glume-plate structure containing depleted uranium |
Non-Patent Citations (1)
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