Discrete sleeve doll type periodic vibration isolation pile and laying method thereof

Abstract

The application discloses a discrete doll-in-doll type periodic vibration reduction and isolation pile and a laying method thereof, and comprises: a plurality of discrete doll-in-doll type vibration reduction and isolation single piles arranged according to a square lattice; each single pile structure comprises a local resonance concrete layer, a rubber soft layer and a steel pipe wrapping layer which are sequentially and multi-layered nested; the single pile as a whole presents a doll-in-doll type structure, and the cross section of each single pile is circular, and the rubber soft layer is arranged in a discrete type along the ring direction. The pile utilizes the band gap characteristics of the periodic structure to inhibit environmental vibrations with frequencies in the attenuation domain range, so as to reduce the adverse effects of environmental vibrations such as rail transit operation and earthquakes; the pile can break the limitation that the traditional periodic vibration reduction and isolation pile is not conducive to isolating low-frequency vibration waves in a limited site; the pile can make up for the defect that the traditional periodic vibration reduction and isolation pile can only isolate vibrations in a single frequency band, and realizes multi-frequency band vibration reduction and isolation application; the pile has strong geometric variability, can be targeted to attenuate environmental vibrations in different frequency bands, and has good durability and high operability.

Description

Technical Field

[0001] This invention relates to the field of environmental vibration reduction and isolation control technology, specifically to a discrete nested doll-type periodic vibration reduction and isolation pile and its deployment method. Background Technology

[0002] Environmental vibrations caused by rail transit operation, mechanical vibrations, or earthquakes can adversely affect people's normal lives, the service life of buildings, and the operation of precision instruments in laboratories. Therefore, developing vibration reduction and isolation measures that can effectively control environmental vibrations is particularly urgent. Currently, environmental vibration reduction and isolation measures are mainly divided into three categories: vibration reduction and isolation measures at the vibration source, vibration reduction and isolation measures along the vibration propagation path, and vibration reduction and isolation measures at the protected building. Vibration reduction and isolation measures at the vibration source include using floating slab track structures or elastic fasteners at the track; vibration reduction and isolation measures along the propagation path mainly involve burying vibration reduction and isolation barriers in the soil between the vibration source and the protected building; vibration reduction and isolation at the protected building is usually achieved by arranging appropriate vibration reduction and isolation devices between the foundation and the superstructure.

[0003] Imposing vibration reduction and isolation measures at the vibration source has drawbacks such as high cost, design complexity, and poor construction feasibility. For existing buildings, it is difficult to install corresponding vibration reduction and isolation devices between the foundation and superstructure. Therefore, embedding vibration reduction and isolation barriers along the vibration propagation path has become the primary choice. Traditional vibration reduction and isolation barriers mainly include three forms: open trenches, filled trenches, and piles. In areas with weak soil layers and high groundwater levels, the walls of open trenches and filled trenches are difficult to stabilize, and construction is very challenging, greatly limiting their application. Pile barriers, on the other hand, have advantages such as high integrity, low cost, good durability, and wide applicability, and have seen significant development in vibration reduction and isolation along vibration paths.

[0004] Based on the band gap characteristics of periodic structures in solid-state physics, periodic vibration-damping piles have been proposed in the field of civil engineering. These piles consist of multiple vibration-damping single piles arranged in a periodic pattern and buried in the soil between the environmental vibration source and the building to be protected. They can attenuate vibration waves with frequencies within the attenuation range, thereby reducing the adverse effects of environmental vibration.

[0005] However, existing periodic vibration isolation piles have the following main drawbacks:

[0006] First, the bandgap mechanism of previous periodic vibration isolation piles is mostly Bragg scattering, and the wavelength corresponding to the first bandgap center frequency is twice the period constant. To attenuate low-frequency vibration waves caused by rail transit operation or earthquakes, a larger period constant (pile spacing) needs to be designed. This is not conducive to achieving vibration reduction and isolation control in the low-frequency range within a limited site, thus limiting the application of periodic vibration isolation piles.

[0007] Second, periodic vibration reduction and isolation piles are buried in the soil between the vibration source and the building to be protected. Due to the fluid plasticity and elastic plasticity of the soil and rock materials, under the action of rainwater erosion or external vibration, the previously designed periodic vibration reduction and isolation piles are difficult to maintain stability in the soil and rock, and their effectiveness cannot be guaranteed.

[0008] Third, the mechanical model of the previously designed vibration-damping monopile is solid, which is not conducive to reducing the stiffness of the soft layer. As a result, the starting frequency of its attenuation domain is difficult to reduce, and thus it cannot attenuate vibration waves in the low-frequency range.

[0009] Fourth, the sources of environmental vibration are complex and may include multiple vibration frequency bands. However, most of the previously designed vibration isolation monopiles only have one attenuation domain, which can only attenuate vibration waves within a single frequency band, while environmental vibrations in other frequency bands remain unaffected. Summary of the Invention

[0010] The purpose of this invention is to provide a discrete nested doll-type periodic vibration isolation pile and its deployment method. This invention utilizes the bandgap characteristics of a periodic structure to suppress environmental vibrations within the attenuation range, thereby reducing the adverse effects of environmental vibrations such as those caused by rail transit operation and earthquakes. It overcomes the limitation of traditional periodic vibration isolation piles in isolating low-frequency vibration waves in limited spaces; it exhibits strong single-pile stability, enabling attenuation of environmental vibrations across a wider frequency range; the discrete soft layer facilitates obtaining an even lower frequency attenuation range; it compensates for the limitation of traditional periodic vibration isolation piles that can only isolate single-frequency vibrations, enabling multi-frequency vibration isolation applications; it possesses strong geometric variability, allowing for targeted attenuation of environmental vibrations in different frequency bands; and it boasts good durability and high operability.

[0011] To achieve the above objectives, the present invention provides the following technical solution:

[0012] This invention provides a discrete nested doll-type periodic vibration reduction and isolation pile, the pile comprising: multiple discrete nested doll-type vibration reduction and isolation single piles arranged in a square lattice; each single pile structure includes a multi-layered nested local resonant concrete layer, a rubber soft layer and a steel pipe wrapping layer; the single pile as a whole presents a nested doll-type structure, and the cross-section of each single pile is circular, and the rubber soft layer is discretely arranged along the circumferential direction.

[0013] In one possible implementation, the local resonant concrete layer comprises, from the inside out, a first local resonant concrete layer, a second local resonant concrete layer, ..., an i-th local resonant concrete layer;

[0014] The rubber soft layer includes, from the inside out, a first rubber soft layer, a second rubber soft layer, ..., an i-th rubber soft layer;

[0015] The steel pipe wrapping layer includes, from the inside out, a first layer of steel pipe wrapping layer, a second layer of steel pipe wrapping layer, ..., an i-th layer of steel pipe wrapping layer;

[0016] Where i represents the number of layers of the discrete nested type vibration reduction and isolation monopile, i = 1, 2, 3, ..., i.

[0017] This invention also provides a method for arranging discrete nested periodic vibration-damping and isolation piles, used for arranging the aforementioned piles. The method includes the following steps: arranging multiple discrete nested periodic vibration-damping and isolation piles according to a square lattice; each pile structure includes a multi-layered nested local resonant concrete layer, a rubber soft layer, and a steel pipe wrapping layer; the pile as a whole presents a nested structure, and the cross-section of each pile is circular, with the rubber soft layer arranged discretely along the circumferential direction.

[0018] In one possible implementation, the local resonant concrete layer comprises, from the inside out, a first local resonant concrete layer, a second local resonant concrete layer, ..., an i-th local resonant concrete layer;

[0019] The rubber soft layer includes, from the inside out, a first rubber soft layer, a second rubber soft layer, ..., an i-th rubber soft layer;

[0020] The steel pipe wrapping layer includes, from the inside out, a first layer of steel pipe wrapping layer, a second layer of steel pipe wrapping layer, ..., an i-th layer of steel pipe wrapping layer;

[0021] Where i represents the number of layers of the discrete nested type vibration reduction and isolation monopile, i = 1, 2, 3, ..., i.

[0022] In one possible implementation, the vibration reduction and isolation performance of the pile group is positively correlated with the number of periods m of the discrete nested vibration reduction and isolation single pile in the direction of parallel vibration wave propagation.

[0023] The effective vibration reduction and isolation control range of the pile group is positively correlated with the number of cycles n of the discrete nested vibration reduction and isolation single pile in the vertical vibration wave propagation direction.

[0024] In one possible implementation, the starting frequency, cutoff frequency, and total width of the attenuation domain of the pile group are determined based on the geometric and material parameters of the discrete nested vibration isolation monopile.

[0025] In one possible implementation, the geometric parameters include: the radius r of the first local resonant concrete layer, the thickness d3 of the second to i local resonant concrete layers, the discrete angle α and thickness d1 of the first to i rubber soft layers, and the thickness d2 of the first to i steel pipe wrapping layers.

[0026] The material parameters include: elastic modulus E, density ρ, and Poisson's ratio v.

[0027] In one possible implementation, when other parameters remain unchanged but the discrete angle α of the first to i layers of rubber soft material changes, the starting frequency, cutoff frequency, and total width of the attenuation domain of the pile are determined based on the discrete angle α of the first to i layers of rubber soft material.

[0028] In one possible implementation, when other parameters remain unchanged but the radius r of the first layer of locally resonant concrete changes, the starting frequency, cutoff frequency, and total width of the attenuation domain of the pile are determined based on the radius r of the first layer of locally resonant concrete.

[0029] In one possible implementation, when other parameters remain unchanged but the thickness d1 of the first to i layers of rubber soft material changes, the starting frequency, cutoff frequency, and total width of the attenuation domain of the pile are determined based on the thickness d1 of the first to i layers of rubber soft material.

[0030] In one possible implementation, when other parameters remain unchanged but the thickness d2 of the first to i layers of steel pipe wrapping changes, the starting frequency, cutoff frequency, and total width of the attenuation domain of the pile are determined based on the thickness d2 of the first to i layers of steel pipe wrapping.

[0031] In one possible implementation, when other parameters remain unchanged but the thickness d3 of the second to i-th local resonant concrete layers changes, the starting frequency, cutoff frequency, and total width of the attenuation domain of the pile are determined based on the thickness d3 of the second to i-th local resonant concrete layers.

[0032] The technical effects and advantages of this invention are as follows:

[0033] 1. The band gap mechanism of the discrete nested doll-type periodic vibration reduction and isolation pile provided by the present invention is local resonance type, which has the characteristics of "small size" blocking "large wavelength", that is, it can effectively attenuate low-frequency vibration waves with a large wavelength with a small period constant, breaking the limitation of traditional periodic vibration reduction and isolation piles that are not conducive to attenuating low-frequency vibration waves in limited sites.

[0034] 2. The presence of the steel pipe wrapping layer in the discrete nested doll-type vibration reduction and isolation monopile enhances the stability of the monopile in the soil and rock and improves the overall stiffness of the monopile. This is conducive to exciting a wider attenuation domain and can attenuate environmental vibrations in a wider frequency range.

[0035] 3. The presence of the steel pipe wrapping layer in the discrete nested doll-type vibration reduction and isolation monopile can slow down the erosion of the soil on the internal rubber soft layer and local resonant concrete layer of the monopile, and enhance its durability.

[0036] 4. The rubber soft layer of the discrete nested doll type vibration reduction and isolation monopile is set in a discrete manner along the circumference, which can reduce the stiffness of the soft layer while ensuring the overall stiffness of the monopile. This breaks through the limitations of material type and geometric size of the soft layer of the traditional periodic vibration reduction and isolation pile, and is conducive to obtaining a lower frequency attenuation domain.

[0037] 5. Discrete Matryoshka type vibration isolation monopile presents a Matryoshka-like structure, which is equivalent to composite vibration isolation. It can generate multiple attenuation domains, which makes up for the shortcomings of traditional periodic vibration isolation piles that can only isolate single-frequency vibration waves, and is conducive to the development of multi-frequency vibration isolation applications.

[0038] 6. The detailed shape of the discrete nested doll-type vibration reduction and isolation monopile is regular. In practical engineering applications, it can be made by prefabrication or cast-in-place, which is simple to construct and highly operable.

[0039] 7. By adjusting the geometric parameters of the discrete nested doll-type vibration isolation monopile, two attenuation domains can be excited in the low-frequency range below 20Hz. The starting frequency of the first attenuation domain is as low as 5.11Hz, and the total width of the attenuation domain is 3.26Hz. This means that the discrete nested doll-type periodic vibration isolation pile can not only control the low-frequency vibration waves brought by rail transit operation, but also be used to attenuate the low-frequency seismic waves caused by earthquakes, thus developing the application of periodic vibration isolation pile in the field of seismic isolation.

[0040] 8. The discrete nested doll-type vibration reduction and isolation monopile structure is composed of a rubber soft layer, a steel pipe wrapping layer, and a local resonant concrete layer. It has strong geometric variability, which enhances its designability. Different geometric parameters can be selected to obtain different attenuation ranges, and targeted attenuation of environmental vibrations in different frequency bands can be achieved.

[0041] Other features and advantages of the invention will be set forth in the following description, and will be apparent in part from the description, or may be learned by practicing the invention. The objects and other advantages of the invention may be realized and obtained by means of the structures pointed out in the description and the drawings. Attached Figure Description

[0042] Figure 1 A schematic diagram of a discrete nested doll-shaped periodic vibration reduction and isolation pile arranged according to a square lattice, provided as an exemplary embodiment of the present invention;

[0043] Figure 2 A schematic diagram of the structural composition of a discrete nested doll-type vibration reduction and isolation monopile provided as an exemplary embodiment of the present invention;

[0044] Figure 3 A schematic diagram of the embedment area of ​​a discrete nested doll-shaped periodic vibration reduction and isolation pile provided as an exemplary embodiment of the present invention;

[0045] Figure 4A schematic diagram of the number of cycles of a discrete nested doll-type vibration reduction and isolation monopile provided as an exemplary embodiment of the present invention;

[0046] Figure 5 A schematic diagram of geometric parameters of a discrete nested doll-type vibration reduction and isolation monopile provided for an exemplary embodiment of the present invention;

[0047] Figure 6 A graph showing the variation trend of the attenuation domain when the discrete angle α of the first and second layers of the discrete nested vibration-damping monopile changes as an exemplary embodiment of the present invention is provided.

[0048] Figure 7 A graph showing the variation trend of the attenuation domain when the thickness d1 of the first to second rubber flexible layers of a discrete nested type vibration reduction and isolation monopile changes as an exemplary embodiment of the present invention.

[0049] Figure 8 A graph showing the variation trend of the attenuation domain when the thickness d2 of the first to second steel pipe wrapping layers of a discrete nested vibration-damping monopile changes as an exemplary embodiment of the present invention.

[0050] Figure 9 A graph showing the variation trend of the attenuation domain when the radius r of the first layer of locally resonant concrete layer of a discrete nested doll-shaped vibration-damping monopile changes as an exemplary embodiment of the present invention.

[0051] Figure 10 A graph showing the variation trend of the attenuation domain when the thickness d3 of the second layer of the local resonant concrete layer of the discrete nested doll-shaped vibration reduction and isolation monopile changes as an exemplary embodiment of the present invention.

[0052] In the figure, a represents the period constant (pile spacing); i represents the number of layers (1, 2, 3, ..., i from the inside out); 1 is a discrete nested type vibration-damping and isolation single pile; 2-1 is the first layer of local resonant concrete; 2-2 is the second layer of local resonant concrete; 2-i is the i-th layer of local resonant concrete; 3-1 is the first layer of rubber-soft material; 3-2 is the second layer of rubber-soft material; 3-i is the i-th layer of rubber-soft material; 4-1 is the first layer of steel pipe wrapping; 4-2 is the second layer of steel pipe wrapping; 4-i is the i-th layer of steel pipe wrapping; α represents the discrete angle of the first to i-th layers of rubber-soft material; d1 represents the... Thickness of the rubber soft layer 1 to i; radius of the first local resonant concrete layer; thickness of the steel pipe sheath layer 1 to i; thickness of the local resonant concrete layer 2 to i; number of cycles of the discrete nested vibration isolation pile parallel to the direction of vibration wave propagation; number of cycles of the discrete nested vibration isolation pile perpendicular to the direction of vibration wave propagation; total width of the attenuation domain (TWAZ); starting frequency of the first attenuation domain (LBFAZ); cutoff frequency of the first attenuation domain (UBFAZ); starting frequency of the second attenuation domain (LBSAZ); cutoff frequency of the second attenuation domain (UBSAZ). Detailed Implementation

[0053] The technical solutions in the exemplary embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and 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.

[0054] This invention provides a design scheme for discrete nested doll-type periodic vibration reduction and isolation piles, specifically as follows: Figure 1-5 As shown, where, Figure 1 A schematic diagram of a discrete nested doll-shaped periodic vibration-damping and isolation pile array arranged according to a square lattice is provided as an exemplary embodiment of the present invention. In the diagram, 1 represents a discrete nested doll-shaped vibration-damping and isolation single pile; a represents the period constant (pile spacing); as shown... Figure 1 As shown, an exemplary embodiment of the present invention provides a discrete nested periodic vibration reduction and isolation pile array arranged according to a square lattice. The discrete nested periodic vibration reduction and isolation pile array includes: multiple discrete nested vibration reduction and isolation single piles arranged according to a square lattice. Each single pile structure includes a multi-layered nested local resonant concrete layer, a rubber soft layer and a steel pipe wrapping layer. The single pile as a whole presents a nested structure, and the cross-sectional shape of each single pile is circular. The rubber soft layer is arranged discretely along the circumferential direction.

[0055] Figure 2 A schematic diagram of the structural composition of a discrete nested doll-type vibration-damping monopile provided for an exemplary embodiment of the present invention. In the diagram, 2-1 represents the first layer of local resonant concrete; 2-2 represents the second layer of local resonant concrete; 2-i represents the i-th layer of local resonant concrete; 3-1 represents the first layer of rubber-soft material; 3-2 represents the second layer of rubber-soft material; 3-i represents the i-th layer of rubber-soft material; 4-1 represents the first layer of steel pipe wrapping; 4-2 represents the second layer of steel pipe wrapping; 4-i represents the i-th layer of steel pipe wrapping; i represents the number of layers (1, 2, 3, ..., i from the inside out); as shown Figure 2 As shown, the local resonant concrete layer includes, from the inside out, the first local resonant concrete layer, the second local resonant concrete layer, ..., the i-th local resonant concrete layer; the rubber flexible layer includes, from the inside out, the first rubber flexible layer, the second rubber flexible layer, ..., the i-th rubber flexible layer; and the steel pipe sheath layer includes, from the inside out, the first steel pipe sheath layer, the second steel pipe sheath layer, ..., the i-th steel pipe sheath layer.

[0056] Figure 3 A schematic diagram of the embedment area of ​​a discrete nested doll-shaped periodic vibration reduction and isolation pile is provided as an exemplary embodiment of the present invention; combined with Figures 1-3As can be seen, in an exemplary embodiment of the present invention, multiple discrete nested vibration-damping and isolation monopiles are arranged in a square lattice to form a discrete nested periodic vibration-damping and isolation pile group, which is then buried in the soil between the environmental vibration source and the building to be protected. Figure 1 In this context, 'a' represents the pile spacing between two adjacent discrete nested vibration-damping and isolation monopiles, i.e., the period constant. Based on the bandgap characteristics of the periodic structure, vibration waves with frequencies within the attenuation range are attenuated, achieving vibration reduction and isolation control of environmental vibrations and mitigating their adverse effects.

[0057] Figure 4 This is a schematic diagram of the number of cycles of a discrete nested doll-shaped vibration-damping and isolation monopile, provided as an exemplary embodiment of the present invention. In the diagram, 1 represents a discrete nested doll-shaped vibration-damping and isolation monopile; m represents the number of cycles of the discrete nested doll-shaped vibration-damping and isolation monopile parallel to the direction of vibration wave propagation; n represents the number of cycles of the discrete nested doll-shaped vibration-damping and isolation monopile perpendicular to the direction of vibration wave propagation; as shown... Figure 4 As shown in the exemplary embodiment of the present invention, the vibration reduction and isolation performance of the discrete nested doll-shaped periodic vibration-damping and isolation pile group is related to the number of periods m of the discrete nested doll-shaped vibration-damping and isolation single pile 1 in the direction parallel to the propagation of the vibration wave; the effective vibration reduction and isolation control range of the discrete nested doll-shaped periodic vibration-damping and isolation pile group is related to the number of periods n of the discrete nested doll-shaped vibration-damping and isolation single pile 1 in the direction perpendicular to the propagation of the vibration wave. The more periods m, the greater the attenuation of environmental vibration, that is, the stronger the vibration reduction and isolation performance; the more periods n, the wider the effective control range of environmental vibration. In the actual installation of the discrete nested doll-shaped vibration-damping and isolation single pile 1, the number of periods m and n can be determined according to the sensitivity of the building to be protected to environmental vibration and the actual size of the engineering site.

[0058] In an exemplary embodiment of the present invention, the starting frequency, cutoff frequency, and total width of the attenuation domain of the discrete nested doll-shaped periodic vibration-damping and isolation pile are related to the geometric and material parameters of the discrete nested doll-shaped vibration-damping and isolation single pile 1. In practical engineering applications, the geometric and material parameters of the discrete nested doll-shaped vibration-damping and isolation single pile can be specifically designed according to the vibration frequency band of the environmental vibration requiring vibration reduction and isolation control, thereby obtaining an attenuation domain that includes the target vibration frequency band and achieving an effective attenuation effect.

[0059] Figure 5 A schematic diagram of the geometric parameters of a discrete nested doll-type vibration-damping monopile is provided for an exemplary embodiment of the present invention. In the diagram, α represents the discrete angle of the first to i-th rubber flexible layers; d1 represents the thickness of the first to i-th rubber flexible layers; r represents the radius of the first-layer localized resonant concrete layer; d2 represents the thickness of the first to i-th steel pipe wrapping layers; d3 represents the thickness of the second to i-th localized resonant concrete layers; as shown... Figure 5As shown, the geometric parameters of the discrete nested doll-type vibration-damping monopile 1 include the radius r of the first layer of local resonant concrete, the thickness d3 of the second to i layers of local resonant concrete, the discrete angle α and thickness d1 of the first to i layers of rubber-soft material, and the thickness d2 of the first to i layers of steel pipe wrapping. The material parameters include the elastic modulus E, density ρ, and Poisson's ratio v.

[0060] Taking a layer count of i=2 and a period constant of a=2m as an example, the exemplary embodiment of this invention selects the geometric and material parameters of a discrete nested type vibration-damping and isolation monopile 1, as shown in Tables 1 and 2, and calculates its dispersion curve to analyze the attenuation domain distribution. The calculation results show that the discrete nested type vibration-damping and isolation monopile exhibits two attenuation domains below 20Hz. The first attenuation domain has a frequency range of 5.11–7.12Hz, and the second attenuation domain has a frequency range of 11.01–12.26Hz, with a total width of 3.26Hz. This indicates that the discrete nested type periodic vibration-damping and isolation monopile provided by this invention can not only control low- and medium-frequency vibration waves caused by rail transit operation, but also attenuate low-frequency seismic waves caused by earthquakes, thus developing the application of periodic vibration-damping and isolation monopile in the field of seismic isolation.

[0061] Table 1 Geometric parameters of discrete nested doll-type vibration reduction and isolation monopile 1

[0062]

[0063] Table 2 Material parameters of discrete nested doll-type vibration reduction and isolation monopile 1

[0064]

[0065] By changing the values ​​of the above parameters, the starting frequency, cutoff frequency, and total width of the attenuation domain will also change. In practical engineering applications, appropriate parameters can be selected according to the environmental vibration frequency band that needs to be controlled, so as to achieve the purpose of targeted control of environmental vibration.

[0066] In an exemplary embodiment of the present invention, a specific processing method is provided for selecting appropriate parameters to specifically control environmental vibration:

[0067] First, the environmental vibration is measured to determine its frequency band. Second, the number of layers i, period constant a, and material and geometric parameters of each component of the discrete nested vibration-damping monopile 1 are initially selected, and the corresponding dispersion curves are calculated to analyze the distribution of the corresponding attenuation domain. Then, the obtained attenuation domain is compared with the measured frequency band of the environmental vibration to determine whether the designed discrete nested vibration-damping monopile can control the environmental vibration. If the vibration frequency band is included in the attenuation domain, it means that the discrete nested vibration-damping monopile 1 constructed according to the initially selected parameters can effectively control the environmental vibration of that frequency band. Otherwise, it means that the discrete nested vibration-damping monopile 1 constructed according to the initially selected parameters cannot effectively control the environmental vibration of that frequency band, and the parameters need to be adjusted so that the obtained attenuation domain includes the vibration frequency band of the environmental vibration. Finally, the designed discrete nested vibration-damping monopile 1 is arranged in a square lattice and buried in the soil between the environmental vibration source and the building to be protected, thus forming a discrete nested periodic vibration-damping pile that can control the environmental vibration.

[0068] In practical engineering applications, to ensure that the calculated attenuation domain includes the frequency band of the environmental vibration to be controlled, it is often necessary to adjust the parameters of the discrete nested doll-type vibration-damping monopile 1 multiple times. Taking the aforementioned discrete nested doll-type vibration-damping monopile 1 with i=2 layers and a period constant a=2m as an example, the exemplary embodiment of this invention shows the trend of attenuation domain change when its geometric parameters change, specifically as follows: Figures 6-10 As shown, Figure 6 In this diagram, TWAZ represents the total width of the attenuation domain; LBFAZ represents the starting frequency of the first attenuation domain; UBFAZ represents the cutoff frequency of the first attenuation domain; LBSAZ represents the starting frequency of the second attenuation domain; and UBSAZ represents the cutoff frequency of the second attenuation domain. This can be used as a reference when adjusting its geometric parameters. This trend also applies to discrete nested vibration-damping monopiles with other layers i and a period constant a.

[0069] Figure 6 A trend diagram of the attenuation domain variation when the discrete angle α of the first and second layers of the discrete nested vibration-damping monopile changes, provided as an exemplary embodiment of the present invention; from Figure 6 It can be seen that when other parameters remain unchanged and the discrete angle α of the first and second rubber soft layers increases, the starting frequency and cutoff frequency of the first attenuation domain both show a slow upward trend, the rising rate of the starting frequency and cutoff frequency of the second attenuation domain is slightly faster than that of the first attenuation domain, and the total width of the attenuation domain only increases slightly.

[0070] Figure 7 A trend diagram of the attenuation domain variation as the thickness d1 of the first and second rubber flexible layers of a discrete nested vibration-damping monopile changes, provided as an exemplary embodiment of the present invention; refer to Figure 7It can be seen that when other parameters remain unchanged and the thickness d1 of the first and second rubber soft layers increases, the start frequency and cutoff frequency of the first attenuation domain both show a decreasing trend, the start frequency and cutoff frequency of the second attenuation domain decrease at a faster rate, and the total width of the attenuation domain shows a decreasing trend.

[0071] Figure 8 A trend diagram of the attenuation domain variation as the thickness d2 of the first and second steel pipe wrapping layers of a discrete nested vibration-damping monopile changes, provided as an exemplary embodiment of the present invention; refer to Figure 8 It can be seen that when other parameters remain unchanged and the thickness d2 of the first and second steel pipe wrapping layers increases, the starting frequency and cutoff frequency of the first attenuation domain remain basically unchanged, while the starting frequency and cutoff frequency of the second attenuation domain show a significant decreasing trend, and the total width of the attenuation domain also shows a decreasing trend.

[0072] Figure 9 A trend diagram of the attenuation domain variation when the radius r of the first layer of locally resonant concrete in a discrete nested doll-shaped vibration-damping monopile changes, provided as an exemplary embodiment of the present invention; refer to Figure 9 It can be seen that when other parameters remain unchanged and the radius r of the first layer of locally resonant concrete increases, the starting frequency and cutoff frequency of the first attenuation domain decrease only slightly, while the starting frequency and cutoff frequency of the second attenuation domain show a significant upward trend, and the total width of the attenuation domain remains basically unchanged.

[0073] Figure 10 A trend diagram of the attenuation domain variation as the thickness d3 of the second layer of locally resonant concrete in a discrete nested vibration-damping monopile varies, as provided in an exemplary embodiment of the present invention; refer to Figure 10 It can be seen that when other parameters remain unchanged and the thickness d3 of the second local resonant concrete layer increases, the starting frequency of the first attenuation domain remains basically unchanged, while the cutoff frequency increases slowly; both the starting and cutoff frequencies of the second attenuation domain show a decreasing trend, and the rate of decrease of the starting frequency is slightly faster than that of the cutoff frequency; the total width of the attenuation domain continues to increase.

[0074] All of the above assume that the geometric and material parameters of the second to i-th layers of local resonant concrete, the first to i-th layers of rubber soft material, and the first to i-th layers of steel pipe wrapping are the same for the discrete nested doll-type vibration reduction and isolation monopile 1.

[0075] Finally, it should be noted that the above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. Although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art can still modify the technical solutions described in the foregoing embodiments or make equivalent substitutions for some of the technical features. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the protection scope of the present invention.

Claims

1. A method for arranging discrete nested doll-shaped periodic vibration-damping and isolation piles, used for arranging discrete nested doll-shaped periodic vibration-damping and isolation piles, characterized in that, The method includes the following steps: multiple discrete nested vibration-damping monopiles are arranged in a square lattice; each monopil structure includes a multi-layered nested local resonant concrete layer, a rubber soft layer and a steel pipe wrapping layer; the monopiles as a whole present a nested structure, and the cross-section of each monopil is circular, and the rubber soft layer is set in a discrete manner along the circumference. The pile array includes: multiple discrete nested vibration-damping and isolation monopiles arranged in a square lattice; each monopil structure includes a multi-layered nested local resonant concrete layer, a rubber soft layer, and a steel pipe wrapping layer; the monopiles as a whole present a nested structure, and the cross-section of each monopil is circular, with the rubber soft layer arranged discretely along the circumferential direction. The local resonant concrete layer comprises, from the inside out, a first local resonant concrete layer, a second local resonant concrete layer, ..., an i-th local resonant concrete layer; The rubber soft layer includes, from the inside out, a first rubber soft layer, a second rubber soft layer, ..., an i-th rubber soft layer; The steel pipe wrapping layer includes, from the inside out, a first layer of steel pipe wrapping layer, a second layer of steel pipe wrapping layer, ..., an i-th layer of steel pipe wrapping layer; Where i represents the number of layers of the discrete nested doll-type vibration reduction and isolation monopile, i = 1, 2, 3, ..., i; The vibration reduction and isolation performance of the pile group is positively correlated with the number of periods m of the discrete nested vibration reduction and isolation single pile in the direction of parallel vibration wave propagation. The effective vibration reduction and isolation control range of the pile group is positively correlated with the number of cycles n of the discrete nested vibration reduction and isolation single pile in the vertical vibration wave propagation direction.

2. The method for arranging discrete nested doll-type periodic vibration reduction and isolation piles according to claim 1, characterized in that, The starting frequency, cutoff frequency, and total width of the attenuation domain of the pile group are determined based on the geometric and material parameters of the discrete nested vibration isolation monopile.

3. The method for arranging discrete nested doll-type periodic vibration reduction and isolation piles according to claim 2, characterized in that, The geometric parameters include: the radius r of the first layer of locally resonant concrete, and the radius r of the second to i layers of locally resonant concrete. The thickness d3 of the layer, the discrete angle α and thickness d1 of the first to i-th rubber soft layers, and the thickness d2 of the first to i-th steel pipe wrapping layers; The material parameters include: elastic modulus. E ,density ρ Compared to Poisson v .

4. The method for arranging discrete nested doll-type periodic vibration reduction and isolation piles according to claim 2 or 3, characterized in that, When other parameters remain unchanged but the discrete angle α of the first to i layers of rubber soft material changes, the starting frequency, cutoff frequency and total width of the attenuation domain of the pile are determined based on the discrete angle α of the first to i layers of rubber soft material.

5. The method for arranging discrete nested doll-type periodic vibration reduction and isolation piles according to claim 2 or 3, characterized in that, When other parameters remain unchanged but the radius r of the first layer of local resonant concrete changes, the starting frequency, cutoff frequency, and total width of the attenuation domain of the pile are determined based on the radius r of the first layer of local resonant concrete.

6. The method for arranging discrete nested doll-type periodic vibration reduction and isolation piles according to claim 2 or 3, characterized in that, When other parameters remain unchanged but the thickness d1 of the first to i-th rubber soft layers changes, the starting frequency, cutoff frequency, and total width of the attenuation domain of the pile are determined based on the thickness d1 of the first to i-th rubber soft layers.

7. The method for arranging discrete nested doll-type periodic vibration reduction and isolation piles according to claim 2 or 3, characterized in that, When other parameters remain unchanged but the thickness d2 of the first to i layers of steel pipe wrapping changes, the starting frequency, cutoff frequency, and total width of the attenuation domain of the pile are determined based on the thickness d2 of the first to i layers of steel pipe wrapping.

8. The method for arranging discrete nested doll-type periodic vibration reduction and isolation piles according to claim 2 or 3, characterized in that, When other parameters remain unchanged but the thickness d3 of the second to i-th local resonant concrete layers changes, the starting frequency, cutoff frequency, and total width of the attenuation domain of the pile are determined based on the thickness d3 of the second to i-th local resonant concrete layers.

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