CN113624575B - Manufacturing method of pile hole vibrating table test model - Google Patents

Manufacturing method of pile hole vibrating table test model Download PDF

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CN113624575B
CN113624575B CN202110885991.6A CN202110885991A CN113624575B CN 113624575 B CN113624575 B CN 113624575B CN 202110885991 A CN202110885991 A CN 202110885991A CN 113624575 B CN113624575 B CN 113624575B
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pile hole
model
prototype
pile
calculating
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CN113624575A (en
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孙洋
杨秋伟
吴关良
朋茜
王晓海
赵�卓
王睢
马永政
巴智坤
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Ningbo University of Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N1/00Sampling; Preparing specimens for investigation
    • G01N1/28Preparing specimens for investigation including physical details of (bio-)chemical methods covered elsewhere, e.g. G01N33/50, C12Q
    • G01N1/286Preparing specimens for investigation including physical details of (bio-)chemical methods covered elsewhere, e.g. G01N33/50, C12Q involving mechanical work, e.g. chopping, disintegrating, compacting, homogenising
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/02Details
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/32Investigating strength properties of solid materials by application of mechanical stress by applying repeated or pulsating forces
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/003Generation of the force
    • G01N2203/0032Generation of the force using mechanical means
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/02Details not specific for a particular testing method
    • G01N2203/06Indicating or recording means; Sensing means
    • G01N2203/067Parameter measured for estimating the property
    • G01N2203/0676Force, weight, load, energy, speed or acceleration
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E60/00Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation

Abstract

The invention discloses a method for manufacturing a pile hole vibrating table test model, which relates to the field of pile foundation construction and comprises the following specific steps: determining the geometric dimensions of a pile hole prototype and a pile hole model; calculating geometrical similarity factors by using the geometrical dimensions, and calculating acceleration, speed and time similarity factors by using the geometrical similarity factors; calculating a collapse control function of the pile hole prototype; calculating the position of the section with the least favorable stability of the pile hole prototype according to the hole collapse control function; calculating the position of the section with the least favorable stability of the pile hole model according to the geometric similarity factor; calculating soil layer elastic modulus similarity factors and stress similarity factors of the most unfavorable section positions in the pile hole prototype and the pile hole model; according to the stress similarity factor, calculating a collapse control function value at the position of the least favorable section in the pile hole model; calculating the liquid level height of the wall-protecting slurry in the pile hole model according to the collapse hole control function value; according to the obtained parameters, a reasonable and reliable pile hole vibrating table test model can be obtained and a vibrating table test can be carried out.

Description

Manufacturing method of pile hole vibrating table test model
Technical Field
The invention relates to the technical field of pile foundation construction, in particular to a method for manufacturing a pile hole vibrating table test model.
Background
Pile foundations are widely used in projects such as house buildings, ports and bridges, and can be generally divided into two types of bored piles and precast piles according to different construction methods. The bored pile is a pile which is made by forming pile holes in foundation soil by means of mechanical boring, steel pipe soil squeezing, manual excavation and the like on an engineering site, placing a reinforcement cage therein and pouring concrete. In the construction process of the bored pile, vibration impact loads often exist in adjacent areas of the bored pile, and the stability of the wall of a pile hole can be damaged by the vibration loads, so that the collapse damage occurs, the subsequent casting concrete cannot be carried out, and the construction safety, the construction quality and the construction progress are seriously influenced. Therefore, the pile hole stability under the action of vibration load is evaluated, corresponding control measures are adopted accordingly, hole collapse damage can be effectively avoided, and construction safety is guaranteed.
The vibration table test is an important method for evaluating pile hole stability, and is characterized in that a laboratory pile hole model similar to a pile hole prototype in a construction site is manufactured, the pile hole model is placed on vibration table equipment, vibration waves similar to a vibration load in actual measurement in the site are input, response parameters such as acceleration, speed, displacement and the like of the pile hole model moving on the vibration table are observed and recorded, a vibration load critical value of the pile hole model, in which the pile hole model is subjected to hole collapse damage, is obtained, and then a vibration load control value of the pile hole prototype, in which the pile hole is subjected to hole collapse damage, is calculated through a similar relation between the pile hole model and the pile hole model, and is used for guiding the site construction process and guaranteeing construction safety. In the prior art, a technical scheme of pile hole stability vibration table test under vibration load is not presented, and a mature and reliable pile hole stability vibration table test model manufacturing method is not presented.
Disclosure of Invention
In view of the above, the invention provides a method for manufacturing a pile hole vibration table test model, which uses a collapse control function at the position of the section with the least favorable pile hole stability as a center to develop similar design, can obtain reasonable and reliable similar factors between a pile hole prototype and the pile hole model, and accordingly, manufacture the pile hole vibration table test model and develop a vibration table test.
In order to achieve the above purpose, the present invention adopts the following technical scheme:
a manufacturing method of a pile hole vibration table test model comprises the following specific steps:
determining the geometric dimensions of a pile hole prototype and a pile hole model;
calculating a geometric similarity factor between the pile hole prototype and the pile hole model;
calculating a collapse control function of the pile hole prototype;
calculating the position of the section with the least favorable stability of the pile hole prototype according to the hole collapse control function;
calculating the position of the section with the least favorable stability of the pile hole model according to the geometric similarity factor;
calculating a soil layer elastic modulus similarity factor and a stress similarity factor of the pile hole prototype and the position of the least favorable section in the pile hole model;
according to the stress similarity factor, calculating a collapse control function value at the position of the most unfavorable section in the pile hole model;
calculating the liquid level height of the retaining wall slurry in the pile hole model according to the collapse hole control function value;
calculating acceleration similarity factors, speed similarity factors and time similarity factors between the pile hole prototype and the pile hole model;
and manufacturing a pile hole vibration table test model and performing a vibration table test by using the geometrical similarity factor, the acceleration similarity factor, the speed similarity factor, the time similarity factor and the liquid level of the retaining wall slurry.
Preferably, the geometric dimension of the pile hole prototype is determined according to the pile foundation design file, and the geometric dimension of the pile hole model is determined according to the specification of the vibrating table and the lifting condition of a laboratory.
Preferably, the calculation formula of the geometric similarity factor is as follows:
wherein l p Representing the geometric dimensions of the pile hole prototype, l m Representing the geometry of the pile hole model.
Preferably, the calculation formula of the collapse control function is as follows:
wherein,the direction conversion coefficient of the ith soil layer of the pile hole prototype is represented, and the burial depth of the steel pile casing driven into the ground is h p ,μ p Representing the weight of the retaining wall mud used for the pile hole prototype, y 0 Representing the height of the slurry level above the horizontal ground, y 1 Represents the height of the drop of the slurry liquid level when the drilling machine lifts the drilling, eta represents the suction stress caused by the drilling machine, ζ represents the vertical stress generated by the construction load gravity on the ground during the prototype construction of the pile hole, and +.>Represents the cohesive force of the ith soil layer of the pile hole prototype,/->Represents the friction angle of the ith soil layer in the pile hole prototype,/->Poisson's ratio, representing the i-th soil layer in the pile hole prototype,>representing the natural weight of the jth soil layer of the pile hole prototype,/->The thickness of the jth soil layer of the pile hole prototype is shown.
Preferably, the formula for calculating the position of the section with the least favorable stability of the pile hole model is as follows:
wherein lambda is l The geometric similarity factor is represented by a set of geometric similarity factors,representing the depth of the most unfavorable cross-sectional position for pile hole prototype stability.
Preferably, the calculation formula of the soil layer elastic modulus similarity factor is as follows:
wherein E is p Elastic modulus, E, of soil layer most likely to collapse in pile hole prototype m The modulus of elasticity of the soil layer in which collapse damage is most likely to occur in the pile hole model.
Preferably, the stress-like factor has the same value as the soil layer elastic modulus-like factor.
Preferably, the formula for calculating the liquid level of the retaining wall slurry in the pile hole model is as follows:
wherein,representing a collapse control function value at the most unfavorable cross-sectional position in the pile hole model, +.>Poisson's ratio of the ith soil layer in the pile hole model,/>Represents the cohesive force of the ith soil layer in the pile hole model,/>Represents the internal friction angle of the ith soil layer in the pile hole model, < >>Representing the natural weight of the jth soil layer in the pile hole model,/->Represents the thickness of the jth soil layer in the pile hole model, mu m Indicating the weight of the dado mud in the pile hole model,/-)>Representing the position of the section where the stability of the pile hole model is most unfavorable.
Preferably, the speed similarity factor is calculatedThe formula is:
preferably, the calculation formula of the time similarity factor is as follows:wherein lambda is a Represents an acceleration similarity factor, lambda a =1。
According to the technical scheme, the invention discloses a manufacturing method of a pile hole vibration table test model, compared with the prior art, the method has the advantages that similar design is carried out by taking a control function of collapse hole damage as the center, reasonable and reliable similar factors between a pile hole prototype and the pile hole model can be obtained, the pile hole vibration table test model is manufactured according to the similar factors, the pile hole vibration table test model is used for carrying out vibration table test, pile hole stability under the action of vibration load is evaluated, corresponding control measures are adopted according to the pile hole stability, collapse hole damage can be effectively avoided, and construction safety is guaranteed.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings that are required to be used in the embodiments or the description of the prior art will be briefly described below, and it is obvious that the drawings in the following description are only embodiments of the present invention, and that other drawings can be obtained according to the provided drawings without inventive effort for a person skilled in the art.
FIG. 1 is a schematic flow chart of the method of the present invention;
FIG. 2a is a diagram of a prototype of a pile hole of a pile foundation engineering project according to an embodiment of the present invention;
FIG. 2b is a pile hole model diagram of a pile foundation engineering project in an embodiment of the invention.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
The embodiment of the invention discloses a method for manufacturing a pile hole vibration table test model, wherein a pile foundation engineering project is divided into seven soil layers from top to bottom as shown in fig. 2 a-2 b, a bored pile is adopted, a blasting engineering project is developed in the adjacent area when the pile foundation is constructed, a vibration table test is to be developed to evaluate the stability of the pile hole wall in the construction process, and the process for manufacturing the pile hole vibration table test model by using the method is shown in fig. 1:
s1, determining the geometric dimension of a pile hole prototype according to a pile foundation design file, determining the geometric dimension of a pile hole model according to the specification of a vibrating table and laboratory hoisting conditions, and calculating geometric similarity factors between the pile hole prototype and the pile hole model, wherein the calculation formula is as follows:
wherein lambda is l The geometric similarity factor is represented, the superscript "p" represents the pile hole prototype, the superscript "m" represents the pile hole model, and l p Representing the prototype size of the pile hole, l m Representing the pile hole model size.
In this embodiment, the prototype length of the pile hole is 45m, and the diameter of the hole is 2m; pile hole model designed in the test of the vibrating table has the length of 0.9m, the hole diameter of 0.04m and the geometric similarity factor of lambda l =50。
S2, setting the burial depth of the steel pile casing driven into the ground as h according to the geological exploration report of the soil body of the construction site and the parameters of construction equipment aiming at the pile hole prototype 0 Next, the depth h below the steel casing is calculated p Where (h) p ≥h 0 ) Is a collapse control function of (2)The calculation formula is as follows:
wherein,the direction conversion coefficient of the ith soil layer of the pile hole prototype is represented, and the subscript "i" represents the depth h p The corresponding soil layer number, mu p Representing the weight (in kN/m) of the retaining wall mud used for the pile hole prototype 3 ),y 0 Representing the height of the slurry level above the horizontal ground, y 1 Represents the height of the slurry level drop when the drilling machine lifts the drilling, eta represents the suction stress (unit kPa) caused by the drilling machine, zeta represents the vertical stress (unit kPa) caused by the construction load gravity on the ground when the pile hole prototype is constructed, and +.>Represents the cohesive force (unit kPa) of the ith soil layer of the pile hole prototype +.>Represents the friction angle (unit: degree) of the ith soil layer in the pile hole prototype,/and->Poisson's ratio, representing the i-th soil layer in the pile hole prototype,>represents the natural gravity (in kN/m) of the jth soil layer of the pile hole prototype 3 ),/>The thickness (in m) of the jth soil layer of the pile hole prototype is shown.
The physical parameters of each soil layer in this example are listed in table 1 and the rig equipment parameters are listed in table 2.
Table 1 physical parameters of pile hole prototype soil layer
Table 2 rig apparatus parameters
S3, controlling functions according to pile hole prototype collapseSolving the area below the steel protection tube>Minimum value +.>And a depth position corresponding thereto +.>The position is the interception position where the collapse damage of the pile hole prototype is most likely to occur, namely the position of the section with the least favorable stability of the pile hole prototype.
In the embodiment, the burying depth of the steel pile casing driven into the ground is h 0 Calculated =25mIs the minimum value of (2)The depth position corresponding to the depth position is +.>
S4, calculating the depth position of the pile hole model most likely to collapse and damage according to the geometric similarity factorNamely the position of the section with the least favorable stability of the pile hole model, and the calculation formula is as follows:
in this embodiment, the depth position of the pile hole model most likely to collapse and damage is calculated
S5, calculating a soil layer elastic modulus similarity factor of a most likely collapse damage area in the pile hole prototype and the pile hole model according to physical parameters of materials used for the pile hole prototype and the pile hole model, wherein a calculation formula is as follows:
wherein lambda is E Represents a modulus of elasticity similarity factor, E p Elastic modulus, E, of soil layer most likely to collapse in pile hole prototype m The modulus of elasticity of the soil layer in which collapse damage is most likely to occur in the pile hole model.
Subsequently, the stress similarity factor lambda of the pile hole prototype and the pile hole model is calculated σ The calculation formula is as follows:
λ σ =λ E
the physical parameters of the materials used for the pile hole pattern in this example are shown in Table 3, and the resulting lambda is calculated E =1,λ σ =1。
Table 3 physical parameters of pile hole model soil layer
S6, calculating the depth position most likely to collapse and damage in the pile hole model according to the stress similarity factorCollapse control function value at the site->The calculation formula is as follows:
in the present embodiment of the present invention, in the present embodiment,
s7, controlling function values according to collapse holes of the pile hole modelCalculating the liquid level of the wall-protecting slurry in the pile hole modelThe calculation formula is as follows:
wherein,representing a collapse control function value at the most unfavorable cross-sectional position in the pile hole model, +.>Poisson's ratio of the ith soil layer in the pile hole model,/>Represents the cohesive force of the ith soil layer in the pile hole model,/>Represents the internal friction angle of the ith soil layer in the pile hole model, < >>Representing the natural weight of the jth soil layer in the pile hole model,/->Represents the thickness of the jth soil layer in the pile hole model, mu m Indicating the weight of the retaining wall mud in the pile hole model.
The liquid level of the retaining wall slurry in the pile hole model obtained by calculation in this embodiment
S8, calculating an acceleration similarity factor lambda between the pile hole prototype and the pile hole model a Speed similarity factor lambda v And a time similarity factor lambda t The calculation formulas are respectively as follows:
λ a =1,
the results calculated in this example are respectively: lambda (lambda) a =1,λ v =7.071,λ t =7.071。
And S9, manufacturing a corresponding pile hole model according to the parameters obtained in the steps, and performing a pile hole model vibration table test.
Specifically, in this embodiment, the process of making the pile hole model by using the above obtained parameters is as follows:
firstly, a cuboid model box filled with soil is manufactured, the upper surface of the model box is opened, the bottom surface of the model box is arranged on a vibrating table, the length and the width of the bottom surface of the model box are smaller than the length and the width of a platform surface of the vibrating table device (for example, if the length and the width of the platform surface of the vibrating table device used in the embodiment are 4m, the length and the width of the model box can be respectively taken as 3m and 2 m), and the height of the model box is equal to or slightly larger than the total thickness of all soil layers in a pile hole prototype divided by a geometric similarity factor (according to table 1, the total thickness of all soil layers in the pile hole prototype is 48m, so the height of the model box in the embodiment can be taken as 48 m/50=0.96 m);
then, filling soil bodies of all layers into the model box sequentially from bottom to top; after all soil layers in the model box are filled, a steel pile casing is inserted into the center of the model box, wherein the diameter and the length of the steel pile casing in the model are respectively equal to the diameter and the length of the steel pile casing in the pile hole prototype divided by geometric similarity factors (the diameter of the steel pile casing in the pile hole prototype is 2.2m, the length of the steel pile casing in the pile hole prototype is 25m, and the size of the steel pile casing in the pile hole model calculated according to the method is 2.2 m/50=0.044 m, and the length of the steel pile casing is 25 m/50=0.5 m);
then, a vertical hole is dug in the steel casing of the pile hole model for simulating the pile hole, wherein the diameter and the depth of the dug hole in the model are respectively equal to the diameter and the depth of the pile hole in the pile hole model divided by a geometric similarity factor (S1, the dug hole in the embodiment has the length of 0.9m and the hole diameter of 0.04 m); after the pile hole in the model is made, the wall-protecting slurry is injected into the pile hole in the model, and the liquid level of the wall-protecting slurry in the injected pile hole model is equal to the liquid level value of the wall-protecting slurry in the model calculated in the calculation (see S7, the liquid level of the wall-protecting slurry in the pile hole model calculated in the embodiment is) After the wall protection slurry is injected into the model, the whole pile hole vibrating table test model is manufactured.
After pile hole model is made, the model can be placed on the platform of vibration table equipment, and vibration acceleration waveform or vibration speed waveform is input to make vibration test, and the vibration acceleration peak value input in the testThe acceleration peak value equal to the actual vibration in the pile hole prototype is divided by the acceleration similarity factor obtained in the calculation; the vibration speed peak value input in the test is equal to the speed peak value of the real vibration in the pile hole prototype divided by the speed similarity factor obtained in the calculation; the duration of vibration in the test is equal to the duration of vibration in the pile hole prototype divided by the calculated time-like factor (see S8, the acceleration-like factor, the velocity-like factor and the time-like factor calculated in this example are respectively:. Lambda. a =1,λ v =7.071,λ t =7.071)。
In the present specification, each embodiment is described in a progressive manner, and each embodiment is mainly described in a different point from other embodiments, and identical and similar parts between the embodiments are all enough to refer to each other. For the device disclosed in the embodiment, since it corresponds to the method disclosed in the embodiment, the description is relatively simple, and the relevant points refer to the description of the method section.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

Claims (9)

1. The manufacturing method of the pile hole vibration table test model is characterized by comprising the following specific steps:
determining the geometric dimensions of a pile hole prototype and a pile hole model;
calculating geometrical similarity factors between the pile hole prototype and the pile hole model by utilizing the geometrical dimensions, and calculating acceleration similarity factors, speed similarity factors and time similarity factors by utilizing the geometrical similarity factors;
calculating a collapse control function of the pile hole prototype;
calculating the position of the section with the least favorable stability of the pile hole prototype according to the hole collapse control function;
calculating the position of the section with the least favorable stability of the pile hole model according to the geometric similarity factor;
calculating a soil layer elastic modulus similarity factor and a stress similarity factor of the pile hole prototype and the position of the least favorable section in the pile hole model;
according to the stress similarity factor, calculating a collapse control function value at the position of the most unfavorable section in the pile hole model;
calculating the liquid level height of the retaining wall slurry in the pile hole model according to the collapse hole control function value;
utilizing the geometric similarity factor, the acceleration similarity factor, the speed similarity factor, the time similarity factor and the liquid level of the retaining wall slurry to manufacture a pile hole vibration table test model and perform a vibration table test;
the calculation formula of the hole collapse control function is as follows:
wherein delta i p The direction conversion coefficient of the ith soil layer of the pile hole prototype is represented, and the burial depth of the steel pile casing driven into the ground is h p ,μ p Representing the weight of the retaining wall mud used for the pile hole prototype, y 0 Representing the height of the slurry level above the horizontal ground, y 1 Represents the descending height of the slurry liquid level when the drilling machine lifts the drilling, eta represents the suction stress caused by the drilling machine, zeta represents the vertical stress generated by the construction load gravity on the ground during the prototype construction of the pile hole,representation ofCohesive force theta of ith soil layer of pile hole prototype i p Represents the friction angle of the ith soil layer in the pile hole prototype,/->Poisson's ratio, representing the i-th soil layer in the pile hole prototype,>representing the natural weight of the jth soil layer of the pile hole prototype,/->The thickness of the jth soil layer of the pile hole prototype is shown.
2. The method for manufacturing a pile hole vibration table test model according to claim 1, wherein the geometric dimension of the pile hole prototype is determined according to a pile foundation design file, and the geometric dimension of the pile hole model is determined according to the specification of the vibration table and laboratory hoisting conditions.
3. The method for manufacturing a pile hole vibration table test model according to claim 1, wherein the calculation formula of the geometric similarity factor is:
wherein l p Representing the geometric dimensions of the pile hole prototype, l m Representing the geometry of the pile hole model.
4. The method for manufacturing a pile hole vibration table test model according to claim 1, wherein the formula for calculating the position of the section with the least favorable stability of the pile hole model is:
wherein lambda is l The geometric similarity factor is represented by a set of geometric similarity factors,representing the depth of the most unfavorable cross-sectional position for pile hole prototype stability.
5. The method for manufacturing a pile hole vibration table test model according to claim 1, wherein the calculation formula of the soil layer elastic modulus similarity factor is as follows:
wherein E is p Elastic modulus, E, of soil layer most likely to collapse in pile hole prototype m The modulus of elasticity of the soil layer in which collapse damage is most likely to occur in the pile hole model.
6. The method for manufacturing a pile hole vibration table test model according to claim 1, wherein the stress similarity factor has the same value as the soil layer elastic modulus similarity factor.
7. The method for manufacturing a pile hole vibration table test model according to claim 1, wherein the formula for calculating the liquid level of the retaining wall slurry in the pile hole model is:
wherein,representing a collapse control function value at the most unfavorable cross-sectional position in the pile hole model, +.>Poisson's ratio of the ith soil layer in the pile hole model,/>Represents the cohesive force of the ith soil layer in the pile hole model,/>Represents the internal friction angle of the ith soil layer in the pile hole model, < >>Representing the natural weight of the jth soil layer in the pile hole model,/->Represents the thickness of the jth soil layer in the pile hole model, mu m Indicating the weight of the dado mud in the pile hole model,/-)>Representing the position of the section where the stability of the pile hole model is most unfavorable.
8. The method for manufacturing a pile hole vibration table test model according to claim 3, wherein the calculation formula of the speed similarity factor is:
9. the method for manufacturing a pile hole vibration table test model according to claim 3, wherein the calculation formula of the time similarity factor is:wherein lambda is a Represents an acceleration similarity factor, lambda a =1。
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