CN115600455A - System and method for quantifying steel casing effect of steel pipe concrete pile under action of horizontal load - Google Patents

System and method for quantifying steel casing effect of steel pipe concrete pile under action of horizontal load Download PDF

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CN115600455A
CN115600455A CN202211130361.9A CN202211130361A CN115600455A CN 115600455 A CN115600455 A CN 115600455A CN 202211130361 A CN202211130361 A CN 202211130361A CN 115600455 A CN115600455 A CN 115600455A
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王法承
林澜
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Tsinghua University
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Abstract

The invention discloses a steel pile casing effect quantification system and method under the action of horizontal load, wherein the method comprises the following steps: acquiring foundation parameters of each soil layer of a foundation, and establishing an interaction finite element model; obtaining a gradient curve corresponding to the load based on the interaction finite element model and a preset load to obtain a horizontal critical load; calculating a horizontal critical load growth coefficient, and obtaining a corresponding relation scatter diagram based on the horizontal critical load growth coefficient and model parameters of the interaction finite element model; and obtaining a corresponding relation function based on the horizontal critical load growth coefficient and the model parameter, fitting to obtain a numerical value of a fitting parameter in the relation function based on the relation scatter diagram, and obtaining an effect quantification result based on the numerical value of the fitting parameter and the relation function. The invention provides an effective way for quantifying the steel casing effect of the steel pipe concrete pile under the action of horizontal load, and the design of the steel pipe concrete pile which fully considers the contribution of the steel casing to the bearing capacity of the pile foundation becomes possible.

Description

Steel tube concrete pile steel casing effect quantification system and method under horizontal load action
Technical Field
The invention relates to the technical field of steel tube concrete pile steel casing effect quantification, in particular to a system and a method for quantifying the steel tube concrete pile steel casing effect under the action of horizontal load.
Background
Nowadays, port terminals and large bridges mostly adopt the foundation form of cast-in-situ bored piles. In the construction of cast-in-situ bored piles, a steel casing is usually driven first to stabilize the bore wall and provide a formwork for the casting of the core concrete. However, after the completion of the construction, the steel casing is often difficult to recover for various reasons. Thus, the steel casing remains in the foundation soil, forming a steel pipe concrete pile together with the core concrete. The existing research results show that under the same load action, the steel casing can effectively reduce the deformation of a pile body and improve the bearing capacity of the pile body, and the steel casing is called as a steel casing effect. However, in the design process of the existing steel pipe concrete pile, due to the lack of a quantification method of the steel casing effect, it is often difficult to fully consider the contribution of the steel casing to the bearing capacity of the pile foundation, and the steel casing is only regarded as a designed safety margin, so that the waste of building materials and other potential safety problems are caused.
Disclosure of Invention
The present invention is directed to solving, at least in part, one of the technical problems in the related art.
Therefore, the invention aims to provide a steel casing effect quantification system and method of a steel pipe concrete pile under the action of horizontal load, which can quantitatively describe the lifting action of a steel casing on the critical load of a pile foundation and provide reference for the design of the steel pipe concrete pile.
In order to achieve the above object, the present invention provides a system for quantifying steel casing effect of a steel pipe concrete pile under horizontal load, comprising:
the model establishing module is used for acquiring foundation parameters of all soil layers of a foundation and establishing an interaction finite element model based on the foundation parameters;
the critical determining module is used for obtaining a gradient curve corresponding to the load based on the interaction finite element model and a preset load and obtaining a horizontal critical load according to the gradient curve;
the relation building module is used for calculating a horizontal critical load growth coefficient based on the horizontal critical load and obtaining a corresponding relation scatter diagram based on the horizontal critical load growth coefficient and the model parameters of the interaction finite element model;
and the quantitative calculation module is used for obtaining a corresponding relation function based on the horizontal critical load growth coefficient and the model parameters, obtaining the numerical value of the fitting parameter in the relation function through fitting based on the relation scatter diagram, and obtaining an effect quantitative result based on the numerical value of the fitting parameter and the relation function.
Further, as an embodiment, the foundation parameters include density, elastic modulus, poisson's ratio, cohesive force and internal friction angle of each soil layer of the foundation; the interaction finite element model comprises a pile-soil interaction finite element model of the steel pipe concrete pile and a pile-soil interaction finite element model of the concrete pile; the horizontal critical load is H c,CFST And H c,C (ii) a The model parameters comprise the diameter d of the pile and the compressive strength f of the concrete cube cu The section steel content alpha of the steel pipe concrete pile; the effect quantification result comprises a steel pile casing effect quantification result of the steel pipe concrete pile under the action of horizontal load.
Further, as an embodiment, the formula for calculating the horizontal critical load increase coefficient based on the horizontal critical load is as follows:
Figure BDA0003847444360000021
wherein eta H Is the horizontal critical load growth factor.
Further, as an embodiment, the relationship building module is further configured to:
compressive strength f to the concrete cube cu Adjusting the steel content alpha of the section of the steel pipe concrete pile to obtain a parameter adjustment result;
obtaining the concrete cubic compressive strength f at different positions based on the parameter adjustment result cu Under the condition, the horizontal critical load growth coefficient eta H And the steel content alpha of the cross section of the steel pipe concrete pile is calculated according to the steel content alpha of the cross section of the steel pipe concrete pile.
Further, as an embodiment, the quantization calculation module is further configured to:
establishing the horizontal critical load growth system based on a three-parameter Weibull distribution modelNumber eta H With the compressive strength f of the concrete cube cu And the formula of the relation function between the section steel content alpha of the steel pipe concrete pile is as follows:
Figure BDA0003847444360000022
wherein, y 0 、A 1 、B 1 、C 1 Are fitting parameters.
In order to achieve the above object, the present invention provides a method for quantifying the effect of a steel casing of a steel pipe concrete pile under the action of a horizontal load, comprising:
acquiring foundation parameters of each soil layer of a foundation, and establishing an interaction finite element model based on the foundation parameters;
obtaining a gradient curve corresponding to the load based on the interaction finite element model and a preset load, and obtaining a horizontal critical load according to the gradient curve;
calculating a horizontal critical load growth coefficient based on the horizontal critical load, and obtaining a corresponding relation scatter diagram based on the horizontal critical load growth coefficient and the model parameters of the interaction finite element model;
and obtaining a corresponding relation function based on the horizontal critical load growth coefficient and the model parameter, fitting to obtain a numerical value of a fitting parameter in the relation function based on the relation scatter diagram, and obtaining an effect quantification result based on the numerical value of the fitting parameter and the relation function.
The steel pipe concrete pile steel casing effect quantification system and method under the horizontal load action of the embodiment of the invention are based on finite element simulation results, provide a concept of 'horizontal critical load growth coefficient' of the steel pipe concrete pile compared with a concrete pile with the same diameter, and establish a method for calculating the horizontal critical load growth coefficient according to the compressive strength of a concrete cube and the steel content of the section of the steel pipe concrete pile.
Additional aspects and advantages of the invention will be set forth in part in the description which follows and, in part, will be obvious from the description, or may be learned by practice of the invention.
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The foregoing and/or additional aspects and advantages of the present invention will become apparent and readily appreciated from the following description of the embodiments, taken in conjunction with the accompanying drawings of which:
FIG. 1 is a schematic structural diagram of a steel casing effect quantification system of a steel pipe concrete pile under horizontal load according to an embodiment of the invention;
FIG. 2 is a schematic view of a finite element model of a concrete filled steel tubular pile according to an embodiment of the present invention;
FIG. 3 is a schematic view of a finite element model of a concrete pile according to an embodiment of the present invention;
FIG. 4 is a schematic diagram showing a relationship between a horizontal critical load increase coefficient and a steel content of a section of a steel pipe concrete pile according to an embodiment of the present invention;
FIG. 5 is a flowchart of a method for quantifying steel casing effect of a steel pipe concrete pile under the action of horizontal load according to an embodiment of the invention;
reference numerals are as follows:
a foundation soil layer 1; a ground base soil layer 2; a pile-soil interaction finite element model 3 of the steel pipe concrete pile; a pile-soil interaction finite element model 4 of the concrete pile; a steel pipe concrete pile 5; a concrete pile 6; horizontal load 7.
Detailed Description
It should be noted that the embodiments and features of the embodiments in the present application may be combined with each other without conflict. The present invention will be described in detail below with reference to the embodiments with reference to the attached drawings.
In order to make those skilled in the art better understand the technical solutions of the present invention, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only some embodiments of the present invention, and not all embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The system and the method for quantifying the steel casing effect of the concrete-filled steel tube pile under the action of horizontal load according to the embodiment of the invention are described below with reference to the accompanying drawings.
Fig. 1 is a schematic structural diagram of a steel casing effect quantification system of a steel pipe concrete pile under the action of horizontal load according to an embodiment of the invention.
As shown in fig. 1, the system 10 includes:
the model establishing module 100 is used for acquiring foundation parameters of each soil layer of a foundation and establishing an interaction finite element model based on the foundation parameters;
the critical determining module 200 is configured to obtain a gradient curve corresponding to the load based on the interaction finite element model and a preset load, and obtain a horizontal critical load according to the gradient curve;
the relation building module 300 is used for calculating a horizontal critical load growth coefficient based on the horizontal critical load and obtaining a corresponding relation scatter diagram based on the horizontal critical load growth coefficient and model parameters of the interaction finite element model;
and the quantitative calculation module 400 is configured to obtain a corresponding relation function based on the horizontal critical load growth coefficient and the model parameter, obtain a numerical value of a fitting parameter in the relation function by fitting based on the relation scatter diagram, and obtain an effect quantitative result based on the numerical value of the fitting parameter and the relation function.
Further, the implementation process of the steel casing effect quantification system of the steel pipe concrete pile under the action of horizontal load comprises the following steps:
step one, determining the density rho of a foundation soil layer 1 1 Elastic modulus E 1 Poisson ratio mu 1 And cohesive force C 1 And angle of internal friction
Figure BDA0003847444360000041
Determination of foundation soilDensity p of layer 2 2 Elastic modulus E 2 Poisson ratio mu 2 And cohesive force C 2 And angle of internal friction
Figure BDA0003847444360000042
Step two, based on the density rho of the foundation soil layer 1 determined in the step one 1 Elastic modulus E 1 Poisson ratio mu 1 Cohesion force C 1 And angle of internal friction
Figure BDA0003847444360000043
Density p of foundation soil layer 2 2 Elastic modulus E 2 Poisson ratio mu 2 Cohesion force C 2 And inner friction angle
Figure BDA0003847444360000044
A pile-soil interaction finite element model 3 of a concrete-filled steel tubular pile and a pile-soil interaction finite element model 4 of a concrete pile can be respectively established by means of large-scale general finite element calculation software Abaqus, as shown in figures 2 and 3, respectively, wherein the diameter of the pile is d, and the compressive strength of the concrete cube is f cu The steel content of the section of the steel pipe concrete pile is alpha;
step three, based on the pile-soil interaction finite element model 3 of the steel pipe concrete pile and the pile-soil interaction finite element model 4 of the concrete pile which are established in the step two, horizontal load 7 is respectively applied to the pile tops of the steel pipe concrete pile 5 and the concrete pile 6, a horizontal force-displacement gradient curve is derived, and the horizontal critical load H of the steel pipe concrete pile is determined according to the horizontal load corresponding to the first inflection point on the horizontal force-displacement gradient curve c,CFST And the horizontal critical load H of the concrete pile c,C Wherein, the horizontal load 7 is enough big to ensure that the horizontal force-displacement gradient curve can have a first inflection point;
step four, the invention provides a horizontal critical load growth coefficient eta H Based on the horizontal critical load H of the steel pipe concrete pile determined in the step three c,CFST And the horizontal criticality of the concrete pileLoad H c,C Calculating eta by using the following formula H
Figure BDA0003847444360000051
Step five, changing the cubic concrete compressive strength f in the step two cu The steel content alpha of the cross section of the steel pipe concrete pile is circularly executed in the second step to the fourth step, and the compressive strength f of different concrete cubes is drawn cu Under the condition, the growth coefficient eta of the horizontal critical load H A scatter diagram showing the relationship between the steel content α of the cross section of the steel pipe concrete pile and the steel content α is shown in fig. 4;
step six, establishing a horizontal critical load growth coefficient eta based on a three-parameter Weibull distribution model H Compressive strength f of concrete cube cu And the relation function between the section steel content alpha of the steel pipe concrete pile is as follows:
Figure BDA0003847444360000052
wherein, y 0 、A 1 、B 1 、C 1 Is a fitting parameter;
step seven, based on the compressive strength f of the concrete cubes drawn in the step five cu Under the condition, the horizontal critical load growth coefficient eta H A scatter diagram of the relation between the section steel content alpha of the steel pipe concrete pile and the steel content alpha is shown in fig. 4, and fitting is carried out by adopting a Gauss-Newton iteration method to obtain a fitting parameter y in the sixth step 0 、A 1 、B 1 、C 1 Will fit the parameter y 0 、A 1 、B 1 、C 1 Substituting the numerical value of (a) into the horizontal critical load increase coefficient eta established in the step six H Cubic compressive strength f of concrete cu And a relation function between the section steel content alpha of the steel pipe concrete pile, namely obtaining a quantification result of the steel pipe concrete pile steel casing effect under the action of the quantification horizontal load.
According to the steel pipe concrete pile steel casing effect quantification system under the action of horizontal load, the finite element simulation result is taken as the basis, the concept of the horizontal critical load growth coefficient of the steel pipe concrete pile compared with the concrete pile with the same diameter is provided, the method for calculating the horizontal critical load growth coefficient according to the compressive strength of the concrete cube and the section steel content of the steel pipe concrete pile is established, the technical scheme is simple and clear, the operation is easy, the related parameters are easy to determine and reliable, an effective way is provided for quantifying the steel pipe concrete pile steel casing effect under the action of horizontal load, and the steel pipe concrete pile design which fully considers the contribution of the steel casing to the pile foundation bearing capacity is possible.
In order to implement the above embodiment, as shown in fig. 5, this embodiment further provides a method for quantifying the steel casing effect of a concrete filled steel tubular pile under the action of a horizontal load, where the method includes:
s1, acquiring foundation parameters of each soil layer of a foundation, and establishing an interaction finite element model based on the foundation parameters;
s2, obtaining a gradient curve corresponding to the load based on the interaction finite element model and a preset load, and obtaining a horizontal critical load according to the gradient curve;
s3, calculating a horizontal critical load growth coefficient based on the horizontal critical load, and obtaining a corresponding relation scatter diagram based on the horizontal critical load growth coefficient and model parameters of the interaction finite element model;
and S4, obtaining a corresponding relation function based on the horizontal critical load growth coefficient and the model parameters, fitting to obtain the numerical value of the fitting parameter in the relation function based on the relation scatter diagram, and obtaining an effect quantification result based on the numerical value of the fitting parameter and the relation function.
Further, the parameters of the foundation include the density, the elastic modulus, the Poisson ratio, the cohesive force and the internal friction angle of each soil layer of the foundation; the interaction finite element model comprises a pile-soil interaction finite element model of the steel pipe concrete pile and a pile-soil interaction finite element model of the concrete pile; the horizontal critical load is H c,CFST And H c,C (ii) a The model parameters comprise the diameter d of the pile and the compressive strength f of the concrete cube cu The section steel content alpha of the steel pipe concrete pile; the effect quantification result comprises a steel pile casing effect quantification result of the steel pipe concrete pile under the action of horizontal load.
Further, based on the horizontal critical load, the formula for calculating the horizontal critical load growth coefficient is:
Figure BDA0003847444360000061
wherein eta H Is the horizontal critical load growth factor.
Further, the obtaining a corresponding relationship scattergram based on the horizontal critical load growth coefficient and the model parameters of the interaction finite element model includes: cubic compressive strength f to concrete cu Adjusting the section steel content alpha of the steel pipe concrete pile to obtain a parameter adjustment result; based on the parameter adjustment result, the compressive strength f of different concrete cubes is obtained cu Under the condition, the growth coefficient eta of the horizontal critical load H And the steel content alpha of the cross section of the steel pipe concrete pile is related to the scatter diagram.
Further, the obtaining of the corresponding relationship function based on the horizontal critical load growth coefficient and the model parameter includes: establishing a horizontal critical load growth coefficient eta based on a three-parameter Weibull distribution model H Cubic compressive strength f of concrete cu And the formula of the relation function between the section steel content alpha of the steel pipe concrete pile is as follows:
Figure BDA0003847444360000071
wherein, y 0 、A 1 、B 1 、C 1 Are fitting parameters.
According to the method for quantifying the steel casing effect of the steel pipe concrete pile under the action of horizontal load, provided by the embodiment of the invention, the concept of the 'horizontal critical load growth coefficient' of the steel pipe concrete pile compared with the concrete pile with the same diameter is provided on the basis of the finite element simulation result, and the method for calculating the horizontal critical load growth coefficient according to the compressive strength of the concrete cube and the section steel content of the steel pipe concrete pile is established.
Furthermore, the terms "first", "second" and "first" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Thus, a feature defined as "first" or "second" may explicitly or implicitly include at least one such feature. In the description of the present invention, "a plurality" means at least two, e.g., two, three, etc., unless specifically limited otherwise.
In the description herein, references to the description of the term "one embodiment," "some embodiments," "an example," "a specific example," or "some examples," etc., mean that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the invention. In this specification, the schematic representations of the terms used above are not necessarily intended to refer to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples. Moreover, various embodiments or examples and features of different embodiments or examples described in this specification can be combined and combined by one skilled in the art without contradiction.
Although embodiments of the present invention have been shown and described above, it will be understood that the above embodiments are exemplary and not to be construed as limiting the present invention, and that changes, modifications, substitutions and alterations can be made to the above embodiments by those of ordinary skill in the art within the scope of the present invention.

Claims (10)

1. The utility model provides a steel pipe concrete pile steel protects a section of thick bamboo effect quantization system under horizontal load effect which characterized in that includes:
the model establishing module is used for acquiring foundation parameters of all soil layers of a foundation and establishing an interaction finite element model based on the foundation parameters;
the critical determining module is used for obtaining a gradient curve corresponding to the load based on the interaction finite element model and a preset load and obtaining a horizontal critical load according to the gradient curve;
the relation construction module is used for calculating a horizontal critical load growth coefficient based on the horizontal critical load and obtaining a corresponding relation scatter diagram based on the horizontal critical load growth coefficient and the model parameters of the interaction finite element model;
and the quantitative calculation module is used for obtaining a corresponding relation function based on the horizontal critical load growth coefficient and the model parameters, obtaining the numerical value of a fitting parameter in the relation function through fitting based on the relation scatter diagram, and obtaining an effect quantitative result based on the numerical value of the fitting parameter and the relation function.
2. The system of claim 1, wherein the foundation parameters comprise density, elastic modulus, poisson's ratio, cohesive force and internal friction angle of each soil layer of the foundation; the interaction finite element model comprises a pile-soil interaction finite element model of a steel pipe concrete pile and a pile-soil interaction finite element model of a concrete pile; the horizontal critical load is H c,CFST And H c,C (ii) a The model parameters comprise the diameter d of the pile and the compressive strength f of the concrete cube cu The section steel content alpha of the steel pipe concrete pile; the effect quantification result comprises a steel pile casing effect quantification result of the steel pipe concrete pile under the action of horizontal load.
3. The system of claim 2, wherein the formula for calculating the horizontal critical load growth factor based on the horizontal critical load is:
Figure FDA0003847444350000011
wherein eta H Is the horizontal critical load growth factor.
4. The system of claim 3, wherein the relationship building module is further configured to:
compressive strength f to the concrete cube cu Adjusting the steel content alpha of the section of the steel pipe concrete pile to obtain a parameter adjustment result;
obtaining the compressive strength f of the concrete cubes at different positions based on the parameter adjustment result cu Under the condition, the horizontal critical load growth coefficient eta H And the steel content alpha of the cross section of the steel pipe concrete pile is calculated according to the steel content alpha of the cross section of the steel pipe concrete pile.
5. The system of claim 3, wherein the quantization computation module is further configured to:
establishing the horizontal critical load growth coefficient eta based on a three-parameter Weibull distribution model H With the cubic compressive strength f of the concrete cu And the formula of the relation function between the section steel content alpha of the steel pipe concrete pile is as follows:
Figure FDA0003847444350000021
wherein, y 0 、A 1 、B 1 、C 1 Are fitting parameters.
6. A method for quantifying steel pile casing effect of a steel pipe concrete pile under the action of horizontal load is characterized by comprising the following steps:
acquiring foundation parameters of each soil layer of a foundation, and establishing an interaction finite element model based on the foundation parameters;
obtaining a gradient curve corresponding to the load based on the interaction finite element model and a preset load, and obtaining a horizontal critical load according to the gradient curve;
calculating a horizontal critical load growth coefficient based on the horizontal critical load, and obtaining a corresponding relation scatter diagram based on the horizontal critical load growth coefficient and model parameters of the interaction finite element model;
and obtaining a corresponding relation function based on the horizontal critical load growth coefficient and the model parameter, fitting to obtain a numerical value of a fitting parameter in the relation function based on the relation scatter diagram, and obtaining an effect quantification result based on the numerical value of the fitting parameter and the relation function.
7. The method of claim 6, wherein the foundation parameters include density, modulus of elasticity, poisson's ratio, cohesion and internal friction angle of each soil layer of the foundation; the interaction finite element model comprises a pile-soil interaction finite element model of the steel pipe concrete pile and a pile-soil interaction finite element model of the concrete pile; the horizontal critical load is H c,CFST And H c,C (ii) a The model parameters comprise the diameter d of the pile and the compressive strength f of the concrete cube cu The section steel content alpha of the steel pipe concrete pile; the effect quantification result comprises a steel pile casing effect quantification result of the steel pipe concrete pile under the action of horizontal load.
8. The method according to claim 7, wherein the formula for calculating the horizontal critical load growth coefficient based on the horizontal critical load is:
Figure FDA0003847444350000031
wherein eta H Is the horizontal critical load growth factor.
9. The method according to claim 8, wherein obtaining a corresponding relationship scatter plot based on the horizontal critical load growth coefficient and the model parameters of the interacting finite element model comprises:
compressive strength f to the concrete cube cu Adjusting the steel content alpha of the section of the steel pipe concrete pile to obtain a parameter adjustment result;
obtaining the concrete cubic compressive strength f at different positions based on the parameter adjustment result cu Under the condition, the horizontal critical load growth coefficient eta H And the steel content alpha of the cross section of the steel pipe concrete pile is calculated according to the steel content alpha of the cross section of the steel pipe concrete pile.
10. The method according to claim 8, wherein the deriving a corresponding relationship function based on the horizontal critical load growth coefficient and the model parameter comprises:
establishing the horizontal critical load growth coefficient eta based on a three-parameter Weibull distribution model H With the cubic compressive strength f of the concrete cu And the formula of the relation function between the section steel content alpha of the steel pipe concrete pile is as follows:
Figure FDA0003847444350000032
wherein, y 0 、A 1 、B 1 、C 1 Are fitting parameters.
CN202211130361.9A 2022-09-15 2022-09-15 System and method for quantifying steel casing effect of steel pipe concrete pile under action of horizontal load Pending CN115600455A (en)

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