CN111639382B - Airport pavement structure design method considering horizontal non-uniform distribution of foundation - Google Patents
Airport pavement structure design method considering horizontal non-uniform distribution of foundation Download PDFInfo
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Abstract
A design method of an airport pavement structure considering horizontal non-uniform distribution of a foundation. The method comprises the steps of considering the horizontal non-uniform distribution characteristics of a foundation soil body by utilizing the reaction modulus gradient, establishing a three-dimensional numerical analysis model of an airplane load, a road surface structure and a horizontal non-uniform foundation, and calculating the equivalent reaction modulus of the non-uniform foundation soil body; calculating a non-uniform foundation soil body reaction modulus correction coefficient; calculating a foundation soil body correction reaction modulus considering horizontal non-uniform distribution of a soil body; and obtaining the reaction modulus of the roadbed roof of the pavement structure according to the specification, calculating the thickness of the pavement slab and the like. The method can consider the non-uniform characteristic of the horizontal distribution of the foundation soil body, solves the problem that the horizontal non-uniform distribution of the foundation soil body causes the non-uniform settlement of the foundation soil body to cause the damage of the airport pavement structure, has clear concept, is convenient for engineering technicians to apply in actual engineering, can improve the service life of the airport pavement structure in China and reduce the maintenance cost of the airport pavement.
Description
Technical Field
The invention relates to an airport pavement structure design method considering horizontal non-uniform distribution of a foundation, and belongs to the technical field of airport pavement structure design.
Background
The non-uniform distribution of the ground soil body in the horizontal direction is not considered in the current airport pavement structure design, namely, the ground foundation is considered according to the layered foundation and the change of the soil quality of the foundation along the horizontal direction is not considered, and the pavement base layer and the soil foundation are simplified into the comprehensive spring. In the actual airport runway, because the foundation soil body compaction construction is difficult to guarantee, the foundation differential settlement caused by the soil quality difference of the runway surface foundation along the horizontal direction of the runway is the main reason for the damage of the airport runway surface and the reduction of the service life of the runway surface structure, and the maintenance cost of the airport runway surface structure is increased.
The horizontal non-uniform distribution of the foundation soil is not only related to the change amplitude of the soil reaction modulus, but also related to the distribution range of the soil with different reaction moduli, and due to the complexity of the problem, the design method of the airport pavement structure considering the horizontal non-uniform distribution of the foundation is necessary to be provided.
Disclosure of Invention
In order to solve the above problems, an object of the present invention is to provide a method for designing an airport pavement considering non-uniform distribution of horizontal ground, thereby providing a method and a basis for designing an airport pavement.
In order to achieve the above object, the airport pavement structure design method considering the horizontal non-uniform distribution of the ground provided by the invention comprises the following steps in sequence:
(1) establishing a three-dimensional numerical analysis model of the pavement structure of the airplane load-pavement structure-horizontal inhomogeneous foundation, and using a reaction modulus gradient T in the model k To characterize the horizontal non-uniform distribution of the foundation soil body, and design the strength f by the concrete of the road slab cm As a control index, the mechanical response analysis is carried out on the airport pavement structure to obtain the stress sigma of the pavement slab when the non-uniform foundation soil mass is obtained f And satisfy σ f Is less than f cm ；
(2) Utilizing the three-dimensional numerical analysis model of the pavement structure established in the step (1), considering horizontal non-uniform foundations in the model according to the uniform foundations, namely, adopting a uniform reaction modulus for foundation soil bodies, carrying out mechanical response analysis on the airport pavement structure, and adjusting the reaction modulus of the foundation soil bodies to enable the stress of the pavement panel when the uniform foundation soil bodies are obtained by analysis and the stress sigma of the pavement panel when the non-uniform foundation soil bodies are obtained in the step (1) f Equal, defining the reaction modulus of the foundation soil body at the moment as the equivalent reaction modulus k 1 ；
(3) Utilizing the equivalent reaction modulus k of the foundation soil body obtained in the step (2) 1 And the mean value of the reaction modulus of the soil body of the non-uniform foundation of the pavement structure is obtained according to the maximum and minimum reaction moduli of the soil body of the foundation where the pavement structure is located
Calculating the reaction modulus correction coefficient eta of the non-uniform foundation soil body k ；
(4) Correcting the reaction modulus correction coefficient eta of the heterogeneous foundation soil body obtained in the step (3) k Multiplying the reaction modulus k of the foundation soil determined by the site loading plate test o And calculating to obtain the corrected reaction modulus of the horizontal inhomogeneous foundation soil body
(5) Utilizing the corrected reaction modulus of the horizontal non-uniform foundation soil body obtained in the step (4)
And combining the equivalent thickness of the base course, and obtaining the reaction modulus k of the top surface of the base course according to civil airport cement concrete pavement design Specifications (MH/T5004-2010) j And obtaining the thickness of the airport pavement panel by adopting a uniform foundation airplane pavement structure design method.
In the step (1), establishing a three-dimensional numerical analysis model of the plane load-road surface structure-horizontal heterogeneous foundation road surface structure, wherein a reaction modulus gradient T is used in the model k To characterize the horizontal non-uniform distribution of the foundation soil body, and design the strength f by the concrete of the road slab cm As a control index, the mechanical response analysis is carried out on the airport pavement structure to obtain the stress sigma of the pavement when the non-uniform foundation soil body is obtained f And satisfy σ f Is less than f cm The method comprises the following steps: establishing a three-dimensional numerical analysis model of the plane structure of the airplane load-road surface structure-horizontal non-uniform foundation by adopting finite element software, wherein the horizontal non-uniform distribution of the foundation soil body adopts a reaction modulus gradient T k Gradient of reaction modulus T k Watch (A)The expression is as follows:
T k ＝(k max -k min )/△L
in the formula, k max The maximum reaction modulus of the foundation soil body where the pavement structure is located; k is a radical of min The minimum reaction modulus of the foundation soil body where the pavement structure is located; delta L is the distance between the areas with the maximum reaction modulus and the minimum reaction modulus of the foundation soil body;
stress sigma of the road surface plate when the non-uniform foundation soil body is solved by utilizing the three-dimensional numerical analysis model of the road surface structure f And satisfy σ f Is less than f cm 。
In the step (2), the three-dimensional numerical analysis model of the pavement structure established in the step (1) is utilized, the horizontal non-uniform foundation in the model is considered according to the uniform foundation, namely the foundation soil body adopts the uniform reaction modulus, the mechanical response analysis is carried out on the airport pavement structure, and the reaction modulus of the foundation soil body is adjusted to ensure that the stress of the pavement panel when the uniform foundation soil body is obtained by analysis and the stress sigma of the pavement panel when the non-uniform foundation soil body is obtained in the step (1) are adjusted f Equal, defining the reaction modulus of the foundation soil body at the moment as the equivalent reaction modulus k 1 The method comprises the following steps: the non-uniform foundation soil body in the three-dimensional numerical analysis model of the road surface structure built in the step (1) is equivalent to a single uniform soil body model, namely the reaction modulus of the foundation soil body in the three-dimensional numerical analysis model of the road surface structure is a single value, the adjusted three-dimensional numerical analysis model of the road surface structure is subjected to mechanical response analysis, and the reaction modulus of the foundation soil body is adjusted to ensure that the stress of the road surface plate during the analysis of the obtained uniform foundation soil body and the stress sigma of the road surface plate during the non-uniform foundation soil body obtained in the step (1) are respectively equal to each other f The reaction modulus of the foundation soil body obtained at the moment is taken as an equivalent reaction modulus k 1 。
In the step (3), the equivalent reaction modulus k of the foundation soil body obtained by the step (2) is utilized 1 And the mean value of the reaction modulus of the soil body of the non-uniform foundation of the pavement structure is obtained according to the maximum and minimum reaction moduli of the soil body of the foundation where the pavement structure is located
Calculating the reaction modulus correction coefficient eta of the non-uniform foundation soil body k The method comprises the following steps: utilizing the equivalent reaction modulus k of the foundation soil body obtained in the step (2) 1 Mean value of reaction modulus of soil body of non-uniform foundation of pavement structure
Calculating the reaction modulus correction coefficient of the non-uniform foundation soil body by using the following formula
In the step (5), the modified reaction modulus of the horizontal inhomogeneous foundation soil body obtained in the step (4) is utilized
And combining the equivalent thickness of the base course, and obtaining the reaction modulus k of the top surface of the base course according to civil airport cement concrete pavement design Specifications (MH/T5004-2010) j The method for obtaining the thickness of the airport pavement panel by adopting the uniform foundation aircraft pavement structure design method comprises the following steps: adopting the corrected reaction modulus of the horizontal non-uniform foundation soil body obtained in the step (4)
And combining the equivalent thickness of the base layer, and obtaining the reaction modulus k of the top surface of the base layer according to a relation graph of the reaction modulus of the foundation and the reaction modulus of the top surface of the base layer in civil airport cement concrete pavement design Specifications (MH/T5004-2010) j Calculating the cumulative action times n of the airplane according to parameters including the average annual running times, the passing width and the wheel mark width of the main landing gear of the airplane e (ii) a At this time, the value of the pavement slab thickness h is assumed, and the reaction modulus k of the top surface of the base layer is determined j Calculating the allowable action times N of the airplane by using parameters including the elastic modulus of the concrete material and the tire pressure of the main landing gear of the airplane e (ii) a When n is e /N e If the thickness of the pavement slab is 0.8-1.1, the assumed thickness h of the pavement slab is reasonable, namely the thickness of the pavement slab, otherwise, the thickness h of the pavement slab is estimated again until n is met e /N e And (3) 0.8-1.1, wherein the thickness is the thickness of the pavement slab considering the horizontal non-uniform distribution of the foundation soil body.
The design method of the airport pavement structure considering the horizontal non-uniform distribution of the foundation can consider the horizontal non-uniform distribution characteristic of the soil body of the foundation and solve the problem that the airport pavement structure is damaged due to the non-uniform settlement of the soil body of the foundation caused by the horizontal non-uniform distribution of the soil body of the foundation.
Drawings
FIG. 1 is a schematic diagram of the gradient of the reaction modulus of the airport pavement structure design method considering the horizontal non-uniform distribution of the foundation.
Detailed Description
The airport pavement structure design method considering the horizontal non-uniform distribution of the ground provided by the invention is explained in detail below with reference to the accompanying drawings and embodiments.
The airport pavement structure design method considering the horizontal non-uniform distribution of the foundation provided by the invention comprises the following steps in sequence:
establishing a three-dimensional numerical analysis model of the plane structure of the airplane load-road surface structure-horizontal non-uniform foundation by adopting finite element software, wherein the horizontal non-uniform distribution of the foundation soil body adopts a reaction modulus gradient T k Gradient of reaction modulus T k The expression of (a) is:
T k ＝(k max -k min )/△L
in the formula, k max The maximum reaction modulus of the foundation soil body where the pavement structure is located; k is a radical of formula min The minimum reaction modulus of the foundation soil body where the pavement structure is located; the delta L is the distance between the maximum reaction modulus and the minimum reaction modulus areas of the foundation soil body; as shown in fig. 1.
Stress sigma of the road surface plate when the non-uniform foundation soil body is solved by utilizing the three-dimensional numerical analysis model of the road surface structure f And satisfy σ f Is less than f cm 。
The non-uniform foundation soil body in the established three-dimensional numerical analysis model of the road surface structure is equivalent to a single uniform soil body model, namely the reaction modulus of the foundation soil body in the three-dimensional numerical analysis model of the road surface structure is a single value, the adjusted three-dimensional numerical analysis model of the road surface structure is subjected to mechanical response analysis, and the reaction modulus of the foundation soil body is adjusted to analyze the stress of the road surface plate when the obtained uniform foundation soil body is analyzed and the stress sigma of the road surface plate when the obtained non-uniform foundation soil body is obtained in the step (1) f The reaction modulus of the foundation soil body obtained at the moment is taken as an equivalent reaction modulus k 1 。
Utilizing the equivalent reaction modulus k of the foundation soil body 1 Mean value of reaction modulus of soil body of non-uniform foundation of pavement structure
Calculating the reaction modulus correction coefficient of the non-uniform foundation soil body by using the following formula
The obtained modified reaction modulus of the horizontal inhomogeneous foundation soil body
And combining the equivalent thickness of the base layer, and obtaining the reaction modulus k of the top surface of the base layer according to a relation graph of the reaction modulus of the foundation and the reaction modulus of the top surface of the base layer in civil airport cement concrete pavement design Specifications (MH/T5004-2010) j According to parameters including average annual running times, passing width and wheel mark width of main landing gear of airplane, the cumulative action times n of airplane is obtained e (ii) a At this time, the value of the pavement slab thickness h is assumed, and the reaction modulus k of the top surface of the base layer is determined j Calculating the allowable action times N of the airplane by using parameters including the elastic modulus of the concrete material and the tire pressure of the main landing gear of the airplane e (ii) a When n is e /N e When the average value is 0.8 to 1.1, the above assumption is madeThe thickness h of the road surface plate is reasonable, namely the thickness of the road surface plate is obtained, otherwise, the thickness h of the road surface plate is estimated again until the thickness h meets n e /N e The thickness is 0.8-1.1, namely the thickness of the pavement slab considering the horizontal non-uniform distribution of the soil body of the foundation.
Claims (4)
1. A design method of an airport pavement structure considering horizontal non-uniform distribution of a foundation is characterized by comprising the following steps: the design method of the airport pavement structure considering the horizontal non-uniform distribution of the foundation comprises the following steps in sequence:
(1) establishing a three-dimensional numerical analysis model of the plane structure of the airplane load-the plane structure-the horizontal inhomogeneous foundation, and using the reaction modulus gradient T in the model k To characterize the horizontal non-uniform distribution of the foundation soil body, and design the strength f by the concrete of the road slab cm As a control index, the mechanical response analysis is carried out on the airport pavement structure to obtain the stress sigma of the pavement slab when the non-uniform foundation soil body is adopted f And satisfy σ f Is less than f cm ；
(2) Utilizing the three-dimensional numerical analysis model of the pavement structure established in the step (1), considering horizontal non-uniform foundations in the model according to the uniform foundations, namely, adopting a uniform reaction modulus for foundation soil bodies, carrying out mechanical response analysis on the airport pavement structure, and adjusting the reaction modulus of the foundation soil bodies to enable the stress of the pavement panel when the uniform foundation soil bodies are obtained by analysis and the stress sigma of the pavement panel when the non-uniform foundation soil bodies are adopted, which is obtained in the step (1), to be adjusted f And (3) equality, defining the reaction modulus of the foundation soil body at the moment as an equivalent reaction modulus k 1 ；
(3) Utilizing the equivalent reaction modulus k of the foundation soil body obtained in the step (2) 1 And the mean value of the reaction modulus of the soil body of the non-uniform foundation of the pavement structure is obtained according to the maximum and minimum reaction moduli of the soil body of the foundation where the pavement structure is located
Calculating the reaction modulus correction coefficient eta of the non-uniform foundation soil body k ；
(4) Mixing the inhomogeneities obtained in the step (3)Reaction modulus correction coefficient eta of uniform foundation soil body k Multiplying the reaction modulus k of the foundation soil determined by the site loading plate test o And calculating to obtain the corrected reaction modulus of the horizontal inhomogeneous foundation soil body
(5) Utilizing the corrected reaction modulus of the horizontal non-uniform foundation soil body obtained in the step (4)
And the reaction modulus k of the top surface of the base layer is obtained according to MH/T5004-2010 in combination with the equivalent thickness of the base layer and according to the design specification of cement concrete pavement of civil airport j Obtaining the thickness of the airport pavement panel by adopting a uniform foundation aircraft pavement structure design method;
in the step (3), the equivalent reaction modulus k of the foundation soil body obtained by the step (2) is utilized 1 And obtaining the mean value of the reaction modulus of the soil body of the non-uniform foundation of the pavement structure according to the maximum and minimum reaction moduli of the soil body of the foundation of the pavement structure
Calculating the reaction modulus correction coefficient eta of the non-uniform foundation soil body k The method comprises the following steps: utilizing the equivalent reaction modulus k of the foundation soil body obtained in the step (2) 1 Mean value of reaction modulus of soil body of non-uniform foundation of pavement structure
Wherein k is max The maximum reaction modulus of the foundation soil body where the pavement structure is located; k is a radical of min The minimum reaction modulus of the foundation soil body where the pavement structure is located; calculating the reaction modulus correction coefficient of the non-uniform foundation soil body by using the following formula
2. The method of designing an airport pavement structure considering horizontal non-uniform distribution of foundations according to claim 1, wherein: in the step (1), establishing a three-dimensional numerical analysis model of the plane load-road surface structure-horizontal heterogeneous foundation road surface structure, wherein a reaction modulus gradient T is used in the model k To represent the horizontal non-uniform distribution of the foundation soil body, and design the strength f by the concrete of the road slab cm As a control index, the mechanical response analysis is carried out on the airport pavement structure to obtain the stress sigma of the pavement slab when the non-uniform foundation soil body is adopted f And satisfy σ f Is less than f cm The method comprises the following steps: establishing a three-dimensional numerical analysis model of the plane structure of the airplane load-road surface structure-horizontal non-uniform foundation by adopting finite element software, wherein the horizontal non-uniform distribution of the foundation soil body adopts a reaction modulus gradient T k Gradient of reaction modulus T k The expression of (a) is:
T k ＝(k max -k min )/△L
in the formula, k max The maximum reaction modulus of the foundation soil body where the pavement structure is located; k is a radical of min The minimum reaction modulus of the foundation soil body where the pavement structure is located; the delta L is the distance between the maximum reaction modulus and the minimum reaction modulus areas of the foundation soil body;
stress sigma of the road surface plate when the non-uniform foundation soil body is solved by utilizing the three-dimensional numerical analysis model of the road surface structure f And satisfy σ f Is less than f cm 。
3. The design method of airport pavement structure considering ground-based horizontal non-uniform distribution according to claim 1, wherein: in the step (2), the three-dimensional numerical analysis model of the pavement structure established in the step (1) is utilized, the horizontal non-uniform foundation in the model is considered according to the uniform foundation, namely the foundation soil body adopts the uniform reaction modulus, the mechanical response analysis is carried out on the airport pavement structure, and the reaction modulus of the foundation soil body is adjusted to ensure that the stress of the pavement panel when the uniform foundation soil body is obtained by analysis and the stress sigma of the pavement panel when the non-uniform foundation soil body is adopted, which is obtained in the step (1), are enabled to be adjusted f Equal, define the ground at that timeThe reaction modulus of the foundation soil body is equivalent reaction modulus k 1 The method comprises the following steps: the non-uniform foundation soil body in the three-dimensional numerical analysis model of the road surface structure built in the step (1) is equivalent to a single uniform soil body model, namely the reaction modulus of the foundation soil body in the three-dimensional numerical analysis model of the road surface structure is a single value, the adjusted three-dimensional numerical analysis model of the road surface structure is subjected to mechanical response analysis, and the reaction modulus of the foundation soil body is adjusted to ensure that the stress of the road surface plate during the analysis of the obtained uniform foundation soil body and the stress sigma of the road surface plate during the non-uniform foundation soil body obtained in the step (1) are respectively equal to each other f The reaction modulus of the foundation soil body obtained at the moment is taken as an equivalent reaction modulus k 1 。
4. The design method of airport pavement structure considering ground-based horizontal non-uniform distribution according to claim 1, wherein: in the step (5), the modified reaction modulus of the horizontal inhomogeneous foundation soil body obtained in the step (4) is utilized
And the reaction modulus k of the top surface of the base layer is obtained according to MH/T5004-2010 in combination with the equivalent thickness of the base layer and according to the design specification of cement concrete pavement of civil airport j The method for obtaining the thickness of the airport pavement panel by adopting the uniform foundation aircraft pavement structure design method comprises the following steps: adopting the corrected reaction modulus of the horizontal inhomogeneous foundation soil body obtained in the step (4)
And combining the equivalent thickness of the base layer, and obtaining the reaction modulus k of the top surface of the base layer according to a relation graph of the foundation reaction modulus and the top surface reaction modulus of the base layer of MH/T5004-2010 according to civil airport cement concrete pavement design Specifications j According to parameters including average annual running times, passing width and wheel mark width of main landing gear of airplane, the cumulative action times n of airplane is obtained e (ii) a At this time, the value of the pavement slab thickness h is assumed, and the reaction modulus k of the top surface of the base layer is determined j Modulus of elasticity of concrete material and tire pressure of main landing gear of airplaneCalculating the allowable action number N of the airplane by internal parameters e (ii) a When n is e /N e If the thickness of the pavement slab is 0.8-1.1, the assumed thickness h of the pavement slab is reasonable, namely the thickness of the pavement slab, otherwise, the thickness h of the pavement slab is estimated again until n is met e /N e And (3) 0.8-1.1, wherein the thickness is the thickness of the pavement slab considering the horizontal non-uniform distribution of the foundation soil body.
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