CN117131705A - Method, device and system for calculating power interaction factors of small-clear-distance tube group piles - Google Patents
Method, device and system for calculating power interaction factors of small-clear-distance tube group piles Download PDFInfo
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Abstract
The application belongs to the technical field of pile group power data processing, and discloses a method, a device and a system for calculating a small-clearance pipe pile group power interaction factor. The device comprises: the method comprises the steps that pile surrounding soil is filled between a rigid bearing platform and a pile foundation, and group pipe piles consisting of a plurality of pipe piles are embedded in the pile surrounding soil; the tubular piles are arranged at intervals; pile core soil is filled in each pipe pile; the rigid bearing platform is positioned at the upper part of the group pipe piles, and the pile foundation is positioned at the lower part of the group pipe piles; the pipe pile comprises an active pipe pile and a passive pipe pile. The method provided by the application can well solve the problems of power calculation and design of the small-clearance pipe pile bearing the power load. The calculation accuracy of the power design can be improved, so that the bearing capacity and sedimentation problems of the power foundation can be controlled more accurately.
Description
Technical Field
The application belongs to the technical field of pile group power data processing, and particularly relates to a method, a device and a system for calculating a small-clear-distance pipe pile group power interaction factor.
Background
In the construction of a construction structure on a soft soil site (artificial filled soil, mucky soil and the like) with poor geological conditions, the soft soil site needs to be treated and reinforced so as to meet the requirements of bearing capacity and post-construction settlement. The tubular pile has the advantages of high single pile bearing capacity, small soil squeezing effect, low manufacturing cost, good pile soil deformation coordination and the like, and has good application prospect in the embankment foundation treatment of deep mucky soil or mucky soil.
Further, the present application is applied to pile group foundations in projects such as cross-sea bridges, offshore oil platforms, and offshore wind power, for example, in the construction of marine infrastructures. When the pile group mechanical response analysis is carried out, not only the interaction between piles and soil, but also the coupling between piles are needed to be considered, and the bearing mechanism is complex.
In order to simply and effectively reflect the interaction between the pile group and the soil body, a simplified calculation method of pile-pile interaction is often adopted according to the superposition principle on the basis of fully considering the pile-soil interaction. The method has the advantages of clear concept, clear interaction mechanism, simple and convenient calculation and the like, is widely applied to pile group calculation, and can be concretely divided into three steps:
(1) deducing the displacement W11 of the active pile under the action of external load by an analytic method;
(2) pushing a displacement attenuation function of surrounding soil of the pile by considering the pile-soil continuity condition;
(3) assuming that the passive pile displacement W21 is the same as the pile surrounding soil displacement, the pile-to-pile power interaction factor α=w21/W11 is determined.
The method is suitable for the working condition of larger spacing of the land piles, and in order to meet the complex and changeable working environment on the sea, small-clear-distance pile groups are often adopted in the ocean infrastructure. But where pile spacing is less than 8 pile diameters, the pile-pile interaction needs to be considered. However, existing methods only consider the effect of active piles on passive piles in pile-pile interactions, and neglect the scattering effect of passive piles on active piles. For pile group foundations with larger pile spacing, the scattering effect can be ignored; however, for pile group foundations with smaller pile spacing in ocean engineering, the vibration of the active piles causes the vibration of the passive piles, which in turn causes the secondary vibration of the active piles, i.e. the existence of the passive piles can generate a certain scattering effect on the active piles.
In the existing method, the scattering effect of the solid pile is considered, but the conventional pile is not applicable to a coastal area. The prior art considers the interaction of pile groups, but ignores scattering effects and is not suitable for small clear distance piles.
Through the above analysis, the problems and defects existing in the prior art are as follows: in the prior art, pile foundations are also widely applied to foundations of power engineering, such as high-speed railway foundations, offshore wind turbine foundations, power machinery foundations and the like. And the foundation treatment is carried out on high-speed railway foundations, offshore wind turbine foundations and the like in coastal areas by adopting the tubular piles with smaller spacing, so that the bearing capacity of the foundations is improved. The existing pile foundation power design method is mainly aimed at solid piles, and the power interaction of the small-clear-distance pipe piles cannot be considered. The bearing capacity and sedimentation problems of the power foundation cannot be accurately controlled.
In the prior art, because the data precision obtained by the change of the power interaction factors of the tubular piles at different pile pitches is low, the tubular piles cannot be subjected to better power design, and the space arrangement effect of the optimized tubular piles is poor.
Disclosure of Invention
In order to overcome the problems in the related art, the disclosed embodiments of the present application provide a method, a device and a system for calculating a small-clearance tube group pile power interaction factor.
The technical scheme is as follows: the small clear distance pipe group pile power interaction factor calculating device is provided with a rigid bearing platform and a pile foundation, pile surrounding soil is filled between the rigid bearing platform and the pile foundation, and group pipe piles consisting of a plurality of pipe piles are embedded in the pile surrounding soil; pile core soil is filled in each pipe pile; the rigid bearing platform is positioned at the upper part of the group pipe piles, and the pile foundation is positioned at the lower part of the group pipe piles; the pipe pile comprises an active pipe pile and a passive pipe pile; and taking the pipe pile which is arbitrarily manufactured as a driving pipe pile, and taking the pipe pile adjacent to the driving pipe pile as a driven pipe pile.
Further, the scattered wave that the driven pipe pile produced changes the soil body stress field of original stake week soil, propagates to initiative tubular pile position and with initiative tubular pile interact, makes initiative tubular pile produce vertical displacement and includes:
(1) Vertical dynamic loadActing on the driving pipe pile to generate driving vertical displacement of +.>The method comprises the steps of carrying out a first treatment on the surface of the The vertical dynamic load->For applying vertical simple harmonic load on the rigid bearing platform (1)>1/n, & gt>How many pipe piles are;
wherein the tubular pile length isAn inner diameter of +.>The outer diameter is +.>The cross section area of the pile body is->Elastic modulus of->The density of pile body material is ∈>The method comprises the steps of carrying out a first treatment on the surface of the Vertical simple harmonic load acts on rigid bearing platform>Wherein->For excitation circle frequency, < >>；
(2) Incident waves generated by vibration of the driving pipe pile are transmitted to the position of the driven pipe pile in the pile surrounding soil to generate the incident displacement of the pile surrounding soil bodyAnd interact with the driven pipe pile to cause the driven pipe pile to generate passive vertical displacement +.>；
(3) The vibration of the driven pipe pile generates scattering waves in soil around the pile, and the scattering waves are transmitted to the position of the driving pipe pile and interact with the driving pipe pile to generate scattering vertical displacement。
Another object of the present application is to provide a method for calculating a small-clearance tube group pile power interaction factor, which is applied to the device for calculating a small-clearance tube group pile power interaction factor, and the method comprises:
s1, establishing a pile core soil and pile surrounding soil vibration equation;
s2, vertical dynamic loadWhen acting on the driving pipe pile, the driving vertical displacement is generated>Is solved;
s3, the vibration displacement of the active tubular pile is transmitted in the soil around the pile, and the caused passive pile displacement is solved;
s4, scattering waves generated by vibration displacement of the driven pipe pile are transmitted in pile surrounding soil, and the caused active pile displacement is solved;
s5, obtaining a pile-pile power interaction factor of the passive pile scattering effect, and analyzing pile-pile power interaction under the passive pile scattering effect.
In step S1, pile core soil and pile surrounding soil vibration equations are established, including: based on plane strain assumption, a pile core soil and pile surrounding soil control equation under the action of vertical dynamic load is established:
，
，
，
，
wherein:is a differential sign ++>For the vertical displacement of pile core soil +.>For radial coordinates>For the soil mass density of the pile core,for soil mass complex shear modulus +.>Is the damping ratio of soil mass->For the vertical displacement of the surrounding soil of the pile +.>Is the density of soil mass around the pile,for soil mass complex shear modulus +.>Is the damping ratio of soil mass->For excitation frequency +.>For the density of pile core soil->For pile core soil shear modulus ++>For the shear modulus of the surrounding soil of the pile>Is a complex number unit;
the solution of equations (1) and (2) is obtained by the boundary conditions of the pile surrounding soil and the pile core soil:
，
，
，
；
wherein:is the pile core soil coefficient->For the soil coefficient around the pile->For excitation circle frequency, < >>And->Modified Bessel functions of the first and second type, respectively,>is active vertical displacement;
thereby obtaining the resistance of pile core soil and pile surrounding soil to pile foundationAnd->The method comprises the following steps:
，
，
，
；
wherein:is pile core soil resistance->Is the resistance of the surrounding soil of the pile>Is the resistance coefficient of pile core soil>Is the resistance coefficient of the surrounding soil of the pile>Is the inner diameter of the pipe pile>Is the external diameter of the pipe pile>For pile core soil shear stress->Is the shear stress of soil around the pile.
In step S2, vertical dynamic loadWhen acting on the driving pipe pile, the driving vertical displacement is generated>Comprising:
the control equation of the active pile under the action of external load is established according to elastic mechanics:
，
，
wherein:is the section coefficient of pile body->Is the cross-sectional area of the pile body>For modulus of elasticity>For the density of pile body material->For longitudinal coordinates>For active vertical displacement->Is the resistance of the surrounding soil of the pile>Is pile core soil resistance;
substituting the formula (5) and the formula (6) into the formula (7) to obtain:
，
and (3) solving to obtain:
，
，
wherein:for the displacement coefficient of pile body->、/>Is an active pending coefficient determined by boundary conditions;eis a natural number;
the boundary conditions of the pile top and the pile bottom of the end bearing pile are as follows:
，
，
wherein:is a vertical dynamic load acting on the driving pile.
Further, the pile foundation displacement formula (9) is brought into the boundary condition formulas (10) and (11), and the following is obtained:
,
,
in the method, in the process of the application,、/>is an active pending coefficient determined by boundary conditions.
In step S3, the active pile vibration displacement propagates in the pile surrounding soil, and the resulting passive pile displacement solution includes:
defining distance active pile positionAt the position, the displacement attenuation function of the soil body>The method comprises the following steps:
,
distance-obtaining active pileThe soil displacement at the position is:
,
in the method, in the process of the application,the incidence displacement of soil around the pile;
incident waves generated by the driving pile act on the driven pile to cause dynamic response of the driven pile, and a driven pile control equation is expressed as follows:
,
in the method, in the process of the application,is passive vertical displacement; />The incidence displacement of soil around the pile;
and (3) solving to obtain:
,
according to the boundary conditions of the passive piles:
,
,
and solving the undetermined coefficient of the passive pile control equation to be:
,
,
wherein:、/>is a passive coefficient to be determined by boundary conditions,/->Is the resistance coefficient of the surrounding soil of the pile>Is a displacement attenuation function of the soil body.
In step S4, scattered waves generated by vibration displacement of the driven pipe pile propagate in the pile surrounding soil, and the induced active pile displacement is solved, including:
aiming at the scattering effect of the passive pile, a control equation of the active pile is established as follows:
,
wherein:is a scattering vertical displacement; />Scattering displacement of soil around the pile;
,
the solution is as follows:
,
in the method, in the process of the application,、/>is a scattering pending coefficient determined by boundary conditions;
at this time, the active pile only aims at receiving the scattering effect of the passive pile, and according to the superposition principle, the boundary condition is expressed as follows:
,
,
bringing equation (24) into equations (25) and (26):
,
,
wherein:for a passive pile displacement factor of 1,/for a>A passive pile displacement coefficient 2;
,
,
in step S5, a pile-pile dynamic interaction factor of the passive pile scattering effect is obtained, including:
in the pile-soil-pile interaction process, only a stress field generated by vibration of the active pile exists in the soil body, and the expression of the interaction of the active pile and the passive pile is deduced as follows:
,
the effect between piles in the group of piles is mutual, the influence of the active piles on the passive piles exists, and the influence of the passive pipe piles on the active piles also exists, so that for the group of piles with small spacing, the influence of the passive piles on the active pilesThe scattering effect is not neglected; introducing pipe pile scattering effect factorsAnalyzing pile-pile dynamic interaction under the scattering effect of the driven pipe pile, and the pipe pile scattering effect factor +.>The ratio of the displacement of the driving pipe pile caused by the scattering effect of the driven pipe pile to the displacement of the driving pipe pile under the action of external load;
the mathematical expression of the pipe pile scattering effect factor is as follows:
,
correcting the existing pile-pile interaction factor by utilizing the pile scattering effect factor to obtain the scattering effect of the driven pipe pile:
,
in the method, in the process of the application,is initiative vertical displacement of the initiative tubular pile>Producing passive vertical displacement for a passive tubular pile, < >>For the scattering vertical displacement of the active tubular pile, < > and>is a scattering effect factor of the tubular pile->Is a tubular pile dynamic interaction factor.
Another object of the present application is to provide a small-clearance tube group pile power interaction factor calculation system, which is used for implementing the small-clearance tube group pile power interaction factor calculation method, and the system includes:
the vibration equation building module is used for building a pile core soil and pile surrounding soil vibration equation;
the driving pipe pile vertical displacement solving module is used for generating solving of vertical displacement when vertical dynamic load acts on the driving pipe pile;
the passive pile displacement solving module is used for propagating vibration displacement of the active pipe pile in pile surrounding soil and solving the caused passive pile displacement;
the active pile displacement solving module is used for solving the active pile displacement caused by scattered waves generated by vibration displacement of the driven pipe pile propagating in the pile surrounding soil;
pile-pile power interaction obtaining module is used for obtaining pile-pile power interaction factors of the passive pile scattering effect and analyzing pile-pile power interaction under the passive pipe pile scattering effect.
By combining all the technical schemes, the application has the advantages and positive effects that: the application overcomes the defects and the shortcomings of the prior art, analyzes the scattering effect of the passive piles in the pile group to the active piles, and establishes a small-clearance pile power interaction factor calculation method by a theoretical derivation method. The application aims at the calculation and analysis of the pile group of the pipe piles. The inside of the tubular pile is hollow, and the inside is influenced by pile core soil.
The method provided by the application can well solve the problems of power calculation and design of the small-clearance pipe pile bearing the power load. The calculation accuracy of the power design can be improved, so that the bearing capacity and sedimentation problems of the power foundation can be controlled more accurately. According to the application, the scattering effect of the passive pile on the active pile is analyzed, and the obtained result has higher pile group pile dynamic analysis precision for the small clear distance.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments consistent with the disclosure and together with the description, serve to explain the principles of the disclosure;
FIG. 1 is a schematic diagram of a device for calculating a power interaction factor of a small-clearance tube group pile provided by an embodiment of the application;
FIG. 2 is a schematic diagram of a tubular pile interaction model taking scattering effects into account according to an embodiment of the present application;
FIG. 3 is a flowchart of a method for calculating a power interaction factor of a small-clearance tube group pile provided by an embodiment of the application;
FIG. 4 is a graph of a comparative analysis of the dynamic interaction factor of a pile and a solid pile, calculated by the method, in consideration of scattering effects, according to an embodiment of the present application;
in the figure: 1. a rigid bearing platform; 2. pile foundation; 3. surrounding soil of piles; 4. a tubular pile; 5. pile core soil.
Detailed Description
In order that the above objects, features and advantages of the application will be readily understood, a more particular description of the application will be rendered by reference to the appended drawings. In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present application. The application may be embodied in many other forms than described herein and similarly modified by those skilled in the art without departing from the spirit or scope of the application, which is therefore not limited to the specific embodiments disclosed below.
The method for calculating the power interaction factor of the small-clear-distance tube group pile provided by the embodiment of the application has the innovation points that: the scattering effect of vibration propagation between the active pipe pile and the passive pipe pile is considered, and the scattering effect has obvious influence on the pipe pile with small clear distance. The pile-pile power interaction factor calculated by considering the scattering effect has higher calculation accuracy.
Embodiment 1 as shown in fig. 1, the device for calculating the power interaction factor of the small-clearance tube group pile provided by the embodiment of the application comprises:
the pile foundation comprises a rigid bearing platform 1 and a pile foundation 2, wherein pile surrounding soil 3 is filled between the rigid bearing platform 1 and the pile foundation 2, and a group of pipe piles consisting of a plurality of pipe piles 4 are embedded in the pile surrounding soil; the tubular piles are arranged at intervals; pile core soil 5 is filled in each pipe pile; the rigid bearing platform 1 is positioned at the upper part of the group pipe piles, and the pile foundation 2 is positioned at the lower part of the group pipe piles; the pipe pile (4) comprises an active pipe pile and a passive pipe pile; taking any manufactured pipe pile as an active pipe pile, and taking the pipe pile adjacent to the active pipe pile as a driven pipe pile;
the length of the pipe pile isAn inner diameter of +.>The outer diameter is +.>The cross section area of the pile body is->Elastic modulus of->The density of pile body material is ∈>The method comprises the steps of carrying out a first treatment on the surface of the Vertical simple harmonic load acts on rigid bearing platform>Wherein->For excitation circle frequency, < >>。
In the existing technology for the pipe pile, only the influence of the active pipe pile (the pipe pile manufactured by any one is the active pipe pile) on the passive pipe pile (the pipe pile adjacent to the active pipe pile is the passive pipe pile) is analyzed, the scattering effect of the passive pipe pile (such as scattering waves in a pipe pile interaction model considering the scattering effect in fig. 2) is ignored, and in fact, the scattering waves generated by the passive pipe pile change the soil stress field of the original pile surrounding soil, and the action mechanism is as follows:
(1) Vertical dynamic loadActing on the driving pipe pile to generate driving vertical displacement of +.>The method comprises the steps of carrying out a first treatment on the surface of the The vertical dynamic load->For applying vertical simple harmonic load on the rigid bearing platform (1)>1/n, & gt>How many pipe piles are;
wherein the tubular pile length isAn inner diameter of +.>The outer diameter is +.>The cross section area of the pile body is->Elastic modulus of->The density of pile body material is ∈>The method comprises the steps of carrying out a first treatment on the surface of the Vertical simple harmonic load acts on rigid bearing platform>Wherein->For excitation circle frequency, < >>；
(2) Incident waves generated by vibration of the driving pipe pile are transmitted to the position of the driven pipe pile in the pile surrounding soil to generate the incident displacement of the pile surrounding soil bodyAnd interact with the driven pipe pile to cause the driven pipe pile to generate passive vertical displacement +.>；
(3) The vibration of the driven pipe pile generates scattering waves in soil around the pile, and the scattering waves are transmitted to the position of the driving pipe pile and interact with the driving pipe pile to generate scattering vertical displacement。
In embodiment 2, as shown in fig. 3, the method for calculating the power interaction factor of the small-clearance tube group pile provided by the embodiment of the application includes:
s1, establishing a pile core soil and pile surrounding soil vibration equation;
s2, vertical dynamic loadWhen acting on the driving pipe pile, the driving vertical displacement is generated>Is solved;
s3, the vibration displacement of the active tubular pile is transmitted in the soil around the pile, and the caused passive pile displacement is solved;
s4, scattering waves generated by vibration displacement of the driven pipe pile are transmitted in pile surrounding soil, and the caused active pile displacement is solved;
s5, obtaining a pile-pile power interaction factor of the passive pile scattering effect, and analyzing pile-pile power interaction under the passive pile scattering effect.
Example 3, as another implementation manner of the present application, the method for calculating the power interaction factor of the small-clearance tube group pile provided by the embodiment of the present application includes:
step 1: the method comprises the steps of establishing and solving a pile core soil and pile surrounding soil vibration equation, and establishing a pile core soil and pile surrounding soil control equation under the action of vertical dynamic load based on plane strain assumption:
，
，
，
，
wherein:is a differential sign ++>For the vertical displacement of pile core soil +.>For radial coordinates>For the soil mass density of the pile core,for soil mass complex shear modulus +.>Is the damping ratio of soil mass->For the vertical displacement of the surrounding soil of the pile +.>Is the density of soil mass around the pile,for soil mass complex shear modulus +.>Is the damping ratio of soil mass->For excitation frequency +.>For the density of pile core soil->For pile core soil shear modulus ++>For the shear modulus of the surrounding soil of the pile>Is a complex number unit;
considering the boundary conditions of the pile surrounding soil and the pile core soil, the solutions of equations (1) and (2) are readily obtained as:
，
，
，
；
wherein:is the pile core soil coefficient->For the soil coefficient around the pile->For excitation circle frequency, < >>And->Modified Bessel functions of the first and second type, respectively,>is active vertical displacement;
thereby obtaining the resistance of pile core soil and pile surrounding soil to pile foundationAnd->The method comprises the following steps:
，
，
，
，
wherein:is pile core soil resistance->Is the resistance of the surrounding soil of the pile>Is the resistance coefficient of pile core soil>Is the resistance coefficient of the surrounding soil of the pile>Is the inner diameter of the pipe pile>Is the external diameter of the pipe pile>For pile core soil shear stress->Is the shear stress of soil around the pile.
The application combines and applies formulas (1) - (6), and provides technical support for establishing a tubular pile longitudinal vibration control equation later.
Step 2: vertical dynamic loadWhen acting on the driving pipe pile, the driving vertical displacement is generated>Is a solution to (c).
The control equation of the active pile under the action of external load can be established according to elastic mechanics:
，
，
wherein:is the section coefficient of pile body->Is the cross-sectional area of the pile body>For modulus of elasticity>For the density of pile body material->For longitudinal coordinates>For active vertical displacement->Is the resistance of the surrounding soil of the pile>Is pile core soil resistance;
substituting equations (5) and (6) into equation (7) yields:
，
and (3) solving to obtain:
，
，
wherein:for the displacement coefficient of pile body->、/>Is an active pending coefficient determined by boundary conditions;eis a natural number.
The boundary conditions of the pile top and the pile bottom of the end bearing pile are as follows:
，
，
wherein:is a vertical dynamic load acting on the driving pile.
The pile foundation displacement formula (9) is brought into a boundary condition formula (10) and a formula (11) to obtain the following steps:
，
，
in the method, in the process of the application,、/>is an active pending coefficient determined by boundary conditions.
The formulas (7) - (13) are combined and applied, and technical support is provided for solving the vertical displacement of the driving pipe pile.
Step 3: and the vibration displacement of the active tubular pile is propagated in the soil around the pile, and the induced passive pile displacement is solved.
Defining distance active pile positionAt the position, the displacement attenuation function of the soil body>The method comprises the following steps:
，
distance-obtaining active pileThe soil displacement at the position is:
，
in the method, in the process of the application,the incidence displacement of soil around the pile;
incident waves generated by the driving pile act on the driven pile to cause dynamic response of the driven pile, and a driven pile control equation is expressed as follows:
，
wherein,is passive vertical displacement; />The incidence displacement of soil around the pile;
and (3) solving to obtain:
，
according to the boundary conditions of the passive piles:
，
，
and solving the undetermined coefficient of the passive pile control equation to be:
，
，
wherein:、/>is a passive coefficient to be determined by boundary conditions,/->Is the resistance coefficient of the surrounding soil of the pile>Is a displacement attenuation function of the soil body.
The formulas (14) - (21) provide technical support for solving the vertical displacement of the driven pipe pile for combined application.
S4: and (3) scattering waves generated by vibration displacement of the driven pipe pile are transmitted in the pile surrounding soil, and the active pile displacement is solved.
Taking the scattering effect of the passive pile into consideration, the control equation of the active pile is established as follows:
，
wherein:is a scattering vertical displacement; />Scattering displacement of soil around the pile;
，
the solution is as follows:
，
in the method, in the process of the application,、/>is a scattering pending coefficient determined by boundary conditions;
at this time, the active pile only aims at receiving the scattering effect of the passive pile, and according to the superposition principle, the boundary condition is expressed as follows:
，
，
bringing equation (24) into equations (25) and (26):
，
，
wherein:for a passive pile displacement factor of 1,/for a>A passive pile displacement coefficient 2;
，
，
the application innovatively provides a formula (22) -a formula (24), which can calculate the displacement of the passive pile caused by the scattering of the passive pile, has the technical effect that the dynamic interaction factor of the pipe pile considering the scattering effect of the passive pile can be calculated, and the formula (25) -the formula (30) are combined and applied, so as to solve the solutions of the formulas (22) - (24).
S5: and correcting the tubular pile-tubular pile power interaction factor of the passive pile scattering effect.
The existing tubular pile-tubular pile power interaction model assumes that only a stress field generated by vibration of an active pile exists in a soil body during the pile-soil-pile interaction process, and derives an expression of the interaction of the active pile and a passive pile as follows:
，
this equation (31) quantifies only the effect of active pile vibration on passive pile dynamic response. However, the pile-to-pile effect in the group of piles is mutual, and not only is the influence of the active pile on the passive pile, but also the influence of the passive pile on the active pile. When the pile spacing is large, the influence of the driven pipe pile on the driving pipe pile is negligible, but for small-spacing pile groups, the scattering effect of the driven pipe pile is not negligible. In order to describe pile-pile dynamics interaction under the scattering effect of a driven pipe pile, a pile scattering effect factor is introduced into the application: the ratio of the displacement of the active pipe pile caused by the scattering effect of the passive pipe pile to the displacement of the active pipe pile under the action of external load. The mathematical expression of the pipe pile scattering effect factor is as follows:
the mathematical expression of the pipe pile scattering effect factor is as follows:
，
correcting the existing pile-pile interaction factor by utilizing the pile scattering effect factor to obtain the scattering effect of the driven pipe pile:
，
in the method, in the process of the application,is initiative vertical displacement of the initiative tubular pile>Producing passive vertical displacement for a passive tubular pile, < >>For the scattering vertical displacement of the active tubular pile, < > and>is a scattering effect factor of the tubular pile->Is a tubular pile dynamic interaction factor.
The application innovatively provides formulas (32) - (33), and the pile-pile interaction factor considering the scattering effect of the driven pipe pile is calculated, so that the pile-pile interaction factor has higher accuracy on the power problem of the small-clearance pipe pile.
According to the embodiment, the technical scheme of the application can be used for power design of the small-clearance pipe pile foundation in coastal areas, and after conversion, the power design program of the small-clearance pipe pile can be developed according to the algorithm of the technology, so that high-precision automatic design of the type of pipe pile is realized, and the power design efficiency and precision of the pipe pile are improved.
The technical scheme of the application solves the problem that the solving precision of the load transfer problem of the small-clearance pipe pile under the action of dynamic load is not high in the industry, and improves the calculating precision.
Embodiment 4 an embodiment of the present application provides a small clear distance tube swarm pile power interaction factor calculation system, comprising:
the vibration equation building module is used for building a pile core soil and pile surrounding soil vibration equation;
the driving pipe pile vertical displacement solving module is used for generating solving of vertical displacement when vertical dynamic load acts on the driving pipe pile;
the passive pile displacement solving module is used for propagating vibration displacement of the active pipe pile in pile surrounding soil and solving the caused passive pile displacement;
the active pile displacement solving module is used for solving the active pile displacement caused by scattered waves generated by vibration displacement of the driven pipe pile propagating in the pile surrounding soil;
pile-pile power interaction obtaining module is used for obtaining pile-pile power interaction factors of the passive pile scattering effect and analyzing pile-pile power interaction under the passive pipe pile scattering effect.
In the foregoing embodiments, the descriptions of the embodiments are emphasized, and in part, not described or illustrated in any particular embodiment, reference is made to the related descriptions of other embodiments.
The content of the information interaction and the execution process between the devices/units and the like is based on the same conception as the method embodiment of the present application, and specific functions and technical effects brought by the content can be referred to in the method embodiment section, and will not be described herein.
It will be apparent to those skilled in the art that, for convenience and brevity of description, only the above-described division of the functional units and modules is illustrated, and in practical application, the above-described functional distribution may be performed by different functional units and modules according to needs, i.e. the internal structure of the apparatus is divided into different functional units or modules to perform all or part of the above-described functions. The functional units and modules in the embodiment may be integrated in one processing unit, or each unit may exist alone physically, or two or more units may be integrated in one unit, where the integrated units may be implemented in a form of hardware or a form of a software functional unit. In addition, the specific names of the functional units and modules are only for distinguishing from each other, and are not used for limiting the protection scope of the present application. For specific working processes of the units and modules in the system, reference may be made to corresponding processes in the foregoing method embodiments.
The embodiment of the application also provides a computer device, which comprises: at least one processor, a memory, and a computer program stored in the memory and executable on the at least one processor, which when executed by the processor performs the steps of any of the various method embodiments described above.
Embodiments of the present application also provide a computer readable storage medium storing a computer program which, when executed by a processor, performs the steps of the respective method embodiments described above.
The embodiment of the application also provides an information data processing terminal, which is used for providing a user input interface to implement the steps in the method embodiments when being implemented on an electronic device, and the information data processing terminal is not limited to a mobile phone, a computer and a switch.
The embodiment of the application also provides a server, which is used for realizing the steps in the method embodiments when being executed on the electronic device and providing a user input interface.
Embodiments of the present application provide a computer program product which, when run on an electronic device, causes the electronic device to perform the steps of the method embodiments described above.
The integrated units, if implemented in the form of software functional units and sold or used as stand-alone products, may be stored in a computer readable storage medium. Based on such understanding, the present application may implement all or part of the flow of the method of the above embodiments, and may be implemented by a computer program to instruct related hardware, where the computer program may be stored in a computer readable storage medium, and when the computer program is executed by a processor, the computer program may implement the steps of each of the method embodiments described above. Wherein the computer program comprises computer program code which may be in source code form, object code form, executable file or some intermediate form etc. The computer readable medium may include at least: any entity or device capable of carrying computer program code to a photographing device/terminal apparatus, recording medium, computer Memory, read-Only Memory (ROM), random access Memory (Random Access Memory, RAM), electrical carrier signals, telecommunications signals, and software distribution media. Such as a U-disk, removable hard disk, magnetic or optical disk, etc.
To further illustrate the effects associated with the embodiments of the present application, the following experiments were performed.
The actual application scene is as follows: the foundation treatment is carried out on high-speed railway foundations, offshore wind turbine foundations and the like in coastal areas by adopting tubular piles with smaller spacing, and theoretical reference is provided for the power design of the pile foundations of the tubular pile groups under the action of dynamic loads such as high-speed trains, wind, waves and mechanical vibration.
Simulation experiment: a comparative analysis of the power interaction factors of the pipe pile and the solid pile, which are calculated by the method and consider the scattering effect, is shown in fig. 4, and it can be seen from fig. 4 that there is a large difference between the power interaction factors of the pipe pile and the solid pile. In addition, as the pile spacing decreases, the dynamic interaction factor of the pile exhibits a large change. The method can be used for well analyzing the change of the power interaction factors of the tubular piles at different pile pitches, so that the tubular piles are better power designed, and the spatial arrangement of the tubular piles is optimized.
While the application has been described with respect to what is presently considered to be the most practical and preferred embodiments, it is to be understood that the application is not limited to the disclosed embodiments, but on the contrary, is intended to cover various modifications, equivalents, and alternatives falling within the spirit and scope of the application.
Claims (10)
1. The device is provided with a rigid bearing platform (1) and a pile foundation (2), and is characterized in that pile surrounding soil (3) is filled between the rigid bearing platform (1) and the pile foundation (2), and a group of tubular piles consisting of a plurality of tubular piles (4) are embedded in the pile surrounding soil; pile core soil (5) is filled in each pipe pile; the rigid bearing platform (1) is positioned at the upper part of the group pipe piles, and the pile foundation (2) is positioned at the lower part of the group pipe piles; the pipe pile (4) comprises an active pipe pile and a passive pipe pile; and taking the pipe pile which is arbitrarily manufactured as a driving pipe pile, and taking the pipe pile adjacent to the driving pipe pile as a driven pipe pile.
2. The small clear distance tube group pile power interaction factor calculation device of claim 1, wherein the scattered wave generated by the driven tube pile changes the soil stress field of the original pile surrounding soil, propagates to the position of the active tube pile and interacts with the active tube pile, so that the active tube pile generates vertical displacement, and the method comprises the following steps:
(1) Vertical dynamic loadActing on the driving pipe pile to generate driving vertical displacement of +.>The method comprises the steps of carrying out a first treatment on the surface of the The vertical dynamic load->For applying vertical simple harmonic load on the rigid bearing platform (1)>1/n, & gt>How many pipe piles are;
wherein the tubular pile length isAn inner diameter of +.>The outer diameter is +.>The cross section area of the pile body is->Elastic modulus of->The density of pile body material is ∈>The method comprises the steps of carrying out a first treatment on the surface of the Vertical simple harmonic load acts on rigid bearing platform>Wherein->For excitation circle frequency, < >>；
(2) Incident waves generated by vibration of the driving pipe pile are transmitted to the position of the driven pipe pile in the pile surrounding soil to generate the incident displacement of the pile surrounding soil bodyAnd interact with the driven pipe pile to cause the driven pipe pile to generate passive vertical displacement +.>；
(3) The vibration of the driven pipe pile generates scattering waves in soil around the pile, and the scattering waves are transmitted to the position of the driving pipe pile and interact with the driving pipe pile to generate scattering vertical displacement。
3. A method for calculating a small-clearance tube group pile power interaction factor, which is applied to the small-clearance tube group pile power interaction factor calculation device according to any one of claims 1-2, and comprises the following steps:
s1, establishing a pile core soil and pile surrounding soil vibration equation;
s2, vertical dynamic loadWhen acting on the driving pipe pile, the driving vertical displacement is generated>Is solved;
s3, the vibration displacement of the active tubular pile is transmitted in the soil around the pile, and the caused passive pile displacement is solved;
s4, scattering waves generated by vibration displacement of the driven pipe pile are transmitted in pile surrounding soil, and the caused active pile displacement is solved;
s5, obtaining a pile-pile power interaction factor of the passive pile scattering effect, and analyzing pile-pile power interaction under the passive pile scattering effect.
4. A method of calculating a small clear distance tube swarm pile power interaction factor according to claim 3, wherein in step S1, pile core soil and pile surrounding soil vibration equations are established, comprising: based on plane strain assumption, a pile core soil and pile surrounding soil control equation under the action of vertical dynamic load is established:
，
，
，
；
wherein:is a differential sign ++>For the vertical displacement of pile core soil +.>For radial coordinates>For the density of pile core soil mass->For soil mass complex shear modulus +.>Is the damping ratio of soil mass->For the vertical displacement of the surrounding soil of the pile +.>For the soil density around the pile->For soil mass complex shear modulus +.>Is the damping ratio of soil mass->For excitation frequency +.>For the density of pile core soil->For the shear modulus of the pile core soil,for the shear modulus of the surrounding soil of the pile>Is a complex number unit;
the solution of equations (1) and (2) is obtained by the boundary conditions of the pile surrounding soil and the pile core soil:
，
，
，
；
wherein:is the pile core soil coefficient->For the soil coefficient around the pile->For excitation circle frequency, < >>And->Modified Bessel functions of the first and second type, respectively,>is active vertical displacement;
thereby obtaining the resistance of pile core soil and pile surrounding soil to pile foundationAnd->The method comprises the following steps:
，
，
，
；
wherein:is pile core soil resistance->Is the resistance of the surrounding soil of the pile>Is the resistance coefficient of pile core soil>Is the resistance coefficient of the surrounding soil of the pile>Is the inner diameter of the pipe pile>Is the external diameter of the pipe pile>For pile core soil shear stress->Is the shear stress of soil around the pile.
5. A method of calculating a small clear distance tube farm pile power interaction factor according to claim 3, wherein in step S2, the vertical power load isWhen acting on the driving pipe pile, the driving vertical displacement is generated>Comprising:
the control equation of the active pile under the action of external load is established according to elastic mechanics:
，
，
wherein:is the section coefficient of pile body->Is the cross-sectional area of the pile body>For modulus of elasticity>For the density of pile body material->For longitudinal coordinates>For active vertical displacement->Is the resistance of the surrounding soil of the pile>Is pile core soil resistance;
substituting the formula (5) and the formula (6) into the formula (7) to obtain:
，
and (3) solving to obtain:
，
，
wherein:for the displacement coefficient of pile body->、/>Is an active pending coefficient determined by boundary conditions;eis a natural number;
the boundary conditions of the pile top and the pile bottom of the end bearing pile are as follows:
，
，
wherein:is a vertical dynamic load acting on the driving pile.
6. The method for calculating the power interaction factor of the small-clearance pipe group pile according to claim 5, wherein the pile foundation displacement formula (9) is brought into the boundary condition formulas (10) and (11) to obtain:
，
，
in the method, in the process of the application,、/>is an active pending coefficient determined by boundary conditions.
7. A method of calculating a small clear distance tube swarm pile power interaction factor according to claim 3, wherein in step S3, the active pile vibration displacement propagates in the pile periphery soil, and the resulting passive pile displacement solution comprises:
defining distance active pile positionAt the position, the displacement attenuation function of the soil body>The method comprises the following steps:
，
distance-obtaining active pileThe soil displacement at the position is:
，
in the method, in the process of the application,the incidence displacement of soil around the pile;
incident waves generated by the driving pile act on the driven pile to cause dynamic response of the driven pile, and a driven pile control equation is expressed as follows:
，
wherein,is passive vertical displacement; />The incidence displacement of soil around the pile;
and (3) solving to obtain:
，
according to the boundary conditions of the passive piles:
，
，
and solving the undetermined coefficient of the passive pile control equation to be:
，
；
wherein:、/>is a passive coefficient to be determined by boundary conditions,/->Is the resistance coefficient of the surrounding soil of the pile>Is a displacement attenuation function of the soil body.
8. A method of calculating a small clear distance tube group pile dynamic interaction factor according to claim 3, wherein in step S4, scattered waves generated by vibration displacement of the driven tube pile propagate in the pile surrounding soil, and the resulting solution of the active pile displacement comprises:
aiming at the scattering effect of the passive pile, a control equation of the active pile is established as follows:
，
wherein:is a scattering vertical displacement; />Scattering displacement of soil around the pile;
，
the solution is as follows:
，
in the method, in the process of the application,、/>is a scattering pending coefficient determined by boundary conditions;
at this time, the active pile only aims at receiving the scattering effect of the passive pile, and according to the superposition principle, the boundary condition is expressed as follows:
，
，
bringing equation (24) into equations (25) and (26):
，
，
wherein:for a passive pile displacement factor of 1,/for a>A passive pile displacement coefficient 2;
，
。
9. a method of calculating a pile-pile power interaction factor for a small clear distance tube group as claimed in claim 3, wherein in step S5, the pile-pile power interaction factor for a passive pile scattering effect is obtained, comprising:
in the pile-soil-pile interaction process, only a stress field generated by vibration of the active pile exists in the soil body, and the expression of the interaction of the active pile and the passive pile is deduced as follows:
，
the effect between piles in the group of piles is mutual, the influence of the active piles on the passive piles exists, and meanwhile, the influence of the passive piles on the active piles also exists, so that the scattering effect of the passive piles is not ignored for the small-spacing group of piles; introducing pipe pile scattering effect factorsAnalyzing pile-pile dynamic interaction under the scattering effect of the driven pipe pile, and the pipe pile scattering effect factor +.>The ratio of the displacement of the driving pipe pile caused by the scattering effect of the driven pipe pile to the displacement of the driving pipe pile under the action of external load;
the mathematical expression of the pipe pile scattering effect factor is as follows:
，
correcting the existing pile-pile interaction factor by utilizing the pile scattering effect factor to obtain the scattering effect of the driven pipe pile:
，
in the method, in the process of the application,is initiative vertical displacement of the initiative tubular pile>Producing passive vertical displacement for a passive tubular pile, < >>For the scattering vertical displacement of the active tubular pile, < > and>is a scattering effect factor of the tubular pile->Is a tubular pile dynamic interaction factor.
10. A small clear distance tube bundle pile power interaction factor computing system for implementing the small clear distance tube bundle pile power interaction factor computing method of any of claims 4-9, the system comprising:
the vibration equation building module is used for building a pile core soil and pile surrounding soil vibration equation;
the driving pipe pile vertical displacement solving module is used for generating solving of vertical displacement when vertical dynamic load acts on the driving pipe pile;
the passive pile displacement solving module is used for propagating vibration displacement of the active pipe pile in pile surrounding soil and solving the caused passive pile displacement;
the active pile displacement solving module is used for solving the active pile displacement caused by scattered waves generated by vibration displacement of the driven pipe pile propagating in the pile surrounding soil;
pile-pile power interaction obtaining module is used for obtaining pile-pile power interaction factors of the passive pile scattering effect and analyzing pile-pile power interaction under the passive pipe pile scattering effect.
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| Title |
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| MINGCHEN ZHONG等: "Dynamic Interaction Factor of Pipe Group Piles Considering the Scattering Effect of Passive Piles", JOURNAL OF MARINE SCIENCE AND ENGINEERING, vol. 11, no. 9, pages 2 - 3 * |
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