A general calculation method for tunnel engineering quantity

Abstract

The application discloses a general calculation method for tunnel engineering quantity, which is suitable for general program calculation of inner contour of various tunnels and engineering quantity of tunnel structure, and can calculate the inner contour area of tunnels with different section forms such as single circle, three-circle and five-circle under the condition of being free from various software platforms and being free from human control.

Description

TECHNICAL FIELD

[0001] The application belongs to the field of tunnel engineering quantity calculation, and particularly relates to a general tunnel engineering quantity calculation method. BACKGROUND

[0002] In the late 1980s, CAD drawing began to be used in tunnel engineering, and the slogan of "throwing drawing board" was well implemented in the tunnel profession. Various CAD-based tunnel computer-aided design methods and systems emerged in an endless stream. However, most of the tunnel design software with strong coupling with CAD, when calculating the tunnel section engineering quantity, either calls the surface domain, filling and the like in the program set in the CAD secondary development to obtain the result, or analyzes and calculates according to the situation, and superimposes the corresponding sector area of the inner contour tunnel arc through the pure geometric relationship and adds and subtracts the area of the partially overlapped triangle to obtain the result. The former is subject to people and has poor independent controllability, and the latter has low efficiency, complicated programming code and no universality.

[0003] Therefore, when developing a tunnel program independently, a self-controllable calculation method is needed to obtain the tunnel engineering quantity, and the result can be transplanted to various platforms. The calculation method is not bound by the platform, is not subject to people, is flexible and efficient, has high precision and strong universality, and has the vitality and power of sustainable development. SUMMARY

[0004] In view of the above problems in the prior art, the tunnel engineering quantity general calculation method provided by the application solves the problem of complicated calculation formula of tunnel engineering quantity.

[0005] In order to achieve the above-mentioned application purposes, the technical scheme adopted by the application is as follows: a tunnel engineering quantity general calculation method, comprising the following steps:

[0006] S1, collecting tunnel engineering data, and then deducing tunnel section arc parameters;

[0007] S2, calculating the tunnel inner contour area according to the tunnel section arc parameters;

[0008] S3, obtaining the tunnel section per-meter engineering quantity according to the tunnel inner contour area.

[0009] Further, in the step S2, the tunnel section arc parameters include the center of the tunnel inner contour, the tunnel arc, the vertical shaft and the tunnel center line.

[0010] The step S2 comprises the following sub-steps:

[0011] S21, calculating the area surrounded by the tunnel arc and the tunnel center line according to the collected center of the tunnel inner contour and the tunnel center line;

[0012] S22, obtaining the tunnel inner contour area according to the area surrounded by the tunnel arc and the tunnel center line.

[0013] Further, in the step S21, the center coordinates of the tunnel inner contour are (a, b), the horizontal coordinate of the vertical axis is x=a, the horizontal coordinate of the tunnel center line is x=c, and c is not less than the horizontal coordinate of any point on the tunnel arc interval.

[0014] The beneficial effect of the above further scheme is that the area surrounded by the tunnel arc and the tunnel center line can be obtained by comprehensively considering the tunnel center line, the vertical axis and the tunnel arc.

[0015] Further, in the step S21, when the tunnel center line coincides with the vertical axis, the expression for calculating the area S surrounded by the tunnel arc and the tunnel center line is a .

[0016]

[0017] In the formula, θ is the rotation angle, y-b=r*sinθ, y∈[y1, y2], r is the radius of the tunnel arc, y1 is the minimum longitudinal coordinate of the tunnel arc, and y2 is the maximum longitudinal coordinate of the tunnel arc.

[0018] Further, in the step S21, when the tunnel center line does not coincide with the vertical axis, the expression for calculating the area S surrounded by the tunnel arc and the tunnel center line is c .

[0019]

[0020] In the formula, θ is the rotation angle, y-b=r*sinθ, y∈[y1, y2], r is the radius of the tunnel arc, y1 is the minimum longitudinal coordinate of the tunnel arc, and y2 is the maximum longitudinal coordinate of the tunnel arc.

[0021] Further, in the step S22, the tunnel inner contour area includes single-circle tunnel inner contour area, three-circle tunnel inner contour area and five-circle tunnel inner contour area.

[0022] The beneficial effect of the above further scheme is that the present application can calculate the tunnel inner contour area of different cross-section forms such as single-circle, three-circle and five-circle.

[0023] Further, the expression for calculating the tunnel inner contour area S is n .

[0024]

[0025] In the formula, i is the sequence number of the tunnel arc on one side of the center of the tunnel inner contour, a i ,b i ,ri y 1i and y 2i are the horizontal coordinate of the center of the tunnel arc, the vertical coordinate of the center of the tunnel arc, the radius, the minimum vertical coordinate and the maximum vertical coordinate, respectively; n is the total number of the tunnel arcs on one side of the center of the tunnel inner contour, when the area of the single-center circular tunnel inner contour is calculated, n=3, then S 单心圆 =S3; when the area of the three-center circular tunnel inner contour is calculated, n=4, then S 三心圆 =S4; when the area of the five-center circular tunnel inner contour is calculated, n=5, then S 五心圆 =S5.

[0026] The beneficial effects of the above further scheme are: since the tunnel inner contour is a symmetrical figure, the tunnel inner contour area is obtained by first calculating the tunnel inner contour area on one side of the tunnel center line.

[0027] The beneficial effects of the present application are:

[0028] (1) The present application realizes a general calculation method for tunnel engineering quantity, which first calculates the cross-sectional area of the tunnel structure and is further used for the calculation of the per-meter engineering quantity of the tunnel lining section. After the method is programmed, the generalization, accuracy, efficiency and self-controllability can be realized.

[0029] (2) The present application is suitable for general program calculation of the engineering quantity of various tunnel inner contours and tunnel structures. Without being limited by various software platforms, the tunnel inner contour areas of different cross-sectional forms such as single-center circle, three-center circle and five-center circle can be calculated; the tunnel section engineering quantities such as the tunnel lining section excavation quantity, reserved deformation quantity, sprayed concrete quantity, primary support inverted arch quantity, reinforced concrete arch wall and inverted arch quantity can be calculated. BRIEF DESCRIPTION OF DRAWINGS

[0030] Figure 1 It is a flow chart of a general calculation method for tunnel engineering quantity;

[0031] Figure 2 It is a calculation diagram of the area surrounded by the tunnel arc and the vertical axis x=a;

[0032] Figure 3 It is a calculation diagram of the area surrounded by the tunnel arc and the tunnel center line;

[0033] Figure 4 It is a calculation diagram of the per-meter engineering quantity of the single-center circle;

[0034] Figure 5 It is a calculation diagram of the per-meter engineering quantity of the three-center circle;

[0035] Figure 6 It is a calculation diagram of the per-meter engineering quantity of the five-center circle;

[0036] Figure 7 It is an initial support extension meter calculation schematic diagram of inverted arch. DETAILED DESCRIPTION

[0037] The specific embodiments of the present application are described below to facilitate the understanding of the present application for those skilled in the art, but it should be clear that the present application is not limited to the scope of the specific embodiments, and for those skilled in the art, it is obvious that various changes are within the spirit and scope of the present application defined and determined by the appended claims, and all the inventions utilizing the concept of the present application are within the scope of protection.

[0038] Example 1

[0039] As Figure 1 shown, a general calculation method of tunnel engineering quantity includes the following steps:

[0040] S1, collecting tunnel engineering data, and then deriving tunnel section circular arc parameters;

[0041] S2, calculating the tunnel inner contour area according to the tunnel section circular arc parameters;

[0042] S3, obtaining each extension meter engineering quantity on the tunnel section according to the tunnel inner contour area.

[0043] The center of the derived tunnel inner contour is (a, b).

[0044] In the step S2, the tunnel section circular arc parameters include the center of the tunnel inner contour, the tunnel circular arc, the vertical axis and the tunnel center line;

[0045] The step S2 includes the following sub-steps:

[0046] S21, calculating the area enclosed by the tunnel circular arc and the tunnel center line according to the collected center of the tunnel inner contour and the tunnel center line;

[0047] S22, obtaining the tunnel inner contour area according to the area enclosed by the tunnel circular arc and the tunnel center line.

[0048] The tunnel inner contour is composed of several circular arcs, and each circular arc has a corresponding center.

[0049] In the step S21, the center coordinates of a certain segment of the circular arc on the left side of the tunnel inner contour are (a, b), the horizontal coordinate of the vertical axis is x=a, the horizontal coordinate of the tunnel center line is x=c, and c is greater than the horizontal coordinate of any point on the interval of the tunnel circular arc. As Figure 2 shown, the center of the derived circle is (a, b), and the radius is r. The equation of the circle (x-a) 2 +(y-b) 2 =r 2The area S enclosed by the tunnel arc on the left half side in the interval y∈[y1, y2] (b-r≤y1≤y2≤b+r) and the vertical axis x=a where the center of the circle is located a Should be:

[0050]

[0051] Considering that a-x≥0 always holds, the area S enclosed by the tunnel arc and the tunnel center line is a Should be:

[0052]

[0053] Let y-b=r*sinθ, the area S enclosed by the tunnel arc and the vertical axis is a Should be:

[0054]

[0055] After integration, the area S enclosed by the tunnel arc and the vertical axis is a The expression is specifically:

[0056]

[0057] In the formula, θ is the rotation angle, y-b=r*sinθ, y∈[y1, y2], r is the radius of the tunnel arc, y1 is the minimum vertical coordinate of the tunnel arc, and y2 is the maximum vertical coordinate of the tunnel arc.

[0058] Further, as shown in Figure 3 , the circle (x-a) 2 +(y-b) 2 =r 2 The area S enclosed by the tunnel arc on the left half side in the interval y∈[y1, y2] (b-r≤y1≤y2≤b+r) and the tunnel center line x=c c Should be:

[0059]

[0060] In the formula, θ is the rotation angle, y-b=r*sinθ, y∈[y1, y2], r is the radius of the tunnel arc, y1 is the minimum vertical coordinate of the tunnel arc, and y2 is the maximum vertical coordinate of the tunnel arc.

[0061] In summary, the expression of the area S enclosed by the tunnel arc and the tunnel center line is unified as:

[0062]

[0063] The step S22, tunnel inner profile area includes single heart circle tunnel inner profile area, three heart circle tunnel inner profile area and five heart circle tunnel inner profile area.

[0064] As Figure 4 shown, for the calculation of single heart circle inner profile area, since tunnel inner profile belongs to symmetric figure, set tunnel center line as x=c, can first calculate its left side area, then calculate S 总 =2S 左 , while left side is composed of three tunnel arcs, arbitrary point horizontal coordinate on each tunnel arc is not greater than tunnel center line horizontal coordinate, can be calculated by the expression of area S surrounded by tunnel arc and tunnel center line, expression of single heart circle tunnel inner profile area is:

[0065] S 单心圆 =2·(S1+S2+S3)

[0066] Wherein, S1, S2 and S3 respectively correspond to area surrounded by left side top circle tunnel arc and tunnel center line, area surrounded by left side small circle tunnel arc and tunnel center line and area surrounded by left side bottom circle tunnel arc and tunnel center line. Easy to obtain the center (a, b) of each tunnel arc, radius r, vertical coordinate y1, y2 of two end points of tunnel arc, then the area surrounded by each tunnel arc and tunnel center line x=a can be calculated by the area S surrounded by tunnel arc and tunnel center line. Further, the expression of single heart circle inner profile area S 单心圆 is specifically:

[0067]

[0068] In the formula, i is the serial number of single heart circle side tunnel arc, a i , b i , r i , y 1i and y 2i are respectively the center horizontal coordinate, center vertical coordinate, radius, minimum vertical coordinate and maximum vertical coordinate of tunnel arc i;

[0069] As Figure 5 shown, for the calculation of three heart circle tunnel inner profile area, since tunnel inner profile belongs to symmetric figure, set tunnel center line as x=a, can first calculate its left side area, then calculate S 总 =2S 左 , while left side is composed of four tunnel arcs, the area surrounded by each tunnel arc and x=a all conforms to a-x≥0, can be calculated by the area S surrounded by tunnel arc and tunnel center line; three heart circle tunnel inner profile area calculation formula is:

[0070] S 三心圆 =2·(S1+S2+S3+S4)

[0071] S1, S2, S3, and S4 correspond to the areas enclosed by the left top circular tunnel arc, the left side circular tunnel arc, the left small circular tunnel arc, and the left bottom circular tunnel arc, respectively, and the tunnel centerline. The center (a, b), radius r, and ordinates y1 and y2 of the two endpoints of each tunnel arc can be easily obtained. Therefore, the area enclosed by each tunnel arc and the tunnel centerline x = a can be calculated from the area S enclosed by the tunnel arc and the tunnel centerline. Furthermore, the inner contour area S of the three-centered circular tunnel can be calculated. 三心圆 The specific expression is:

[0072]

[0073] In the formula, j is the serial number of the tunnel arc on one side of the three-centered circle, a j ,b j ,r j ,y 1j and y 2j These are the x-coordinate of the center, y-coordinate of the center, radius, minimum y-coordinate, and maximum y-coordinate of the tunnel arc j, respectively.

[0074] The calculation of the inner contour area of ​​a five-centered circular tunnel is similar to that of a single-centered or three-centered circle tunnel; first calculate the area of ​​the left side, then calculate the total area. Figure 6 As shown, the left half of the tunnel is divided into five circular tunnel segments. The formula for calculating the inner contour area of ​​the five-centered circular tunnel is:

[0075] S 五心圆 = 2·(S1+S2+S3+S4+S5)

[0076] Based on the circular arc parameters of each tunnel segment, calculate the inner contour area S of the five-centered circular tunnel. 五心圆 The specific expression is:

[0077]

[0078] In the formula, m is the serial number of the tunnel arc on one side of the five-centered circle, and a m ,b m ,r m ,y 1m and y 2m These are the x-coordinate of the center, y-coordinate of the center, radius, minimum y-coordinate, and maximum y-coordinate of the tunnel arc m, respectively.

[0079] Based on the above calculation method, the calculated tunnel inner contour area S is obtained by combining these methods. n The expression:

[0080]

[0081] In the formula, i is the sequence number of the tunnel arc on one side of the center of the tunnel's inner contour, and a i ,bi ,r i ,y 1i and y 2i Let x, y, y, radius, minimum y, and maximum y coordinates be the x-coordinates of the center of tunnel arc i, respectively; and n be the total number of tunnel arcs on one side of the tunnel's inner contour. When calculating the area of ​​a single-centered circular tunnel, n = 3, then S 单心圆 =S3; When calculating the inner contour area of ​​a three-centered circular tunnel, n=4, then S 三心圆 =S4; When calculating the inner contour area of ​​a five-centered circular tunnel, n=5, then S 五心圆 =S5.

[0082] This calculation method derives the final result based on the formula for calculating the area of ​​the left half of the tunnel. However, the formula can also be derived starting from the right half.

[0083] Example 2:

[0084] This embodiment is for calculating the engineering quantity per linear meter on the tunnel cross-section;

[0085] For the calculation of other quantities on the tunnel cross section, it is only necessary to use the calculation method of the area S enclosed by the tunnel arc and the tunnel centerline, and perform a simple linear combination after obtaining the corresponding tunnel arc parameters;

[0086] like Figure 7 As shown, the closed area of ​​the initial support thickness range of the three-centered circular cross-section inverted arch is calculated to obtain the quantity S of each linear meter of the project. 仰拱初支 :

[0087] S 仰拱初支 =2·(S1+S2-S3)

[0088] The quantity S of each linear meter project will be obtained. 仰拱初支 Substitute the tunnel arc parameters:

[0089] S 仰拱初支 =2[f(a1,b1,r1,y 11 ,y 21 ,c)+f(a2,b2,r2,y 12 ,y 22 ,c)-f(a3,b3,r3,y 13 ,y 23 ,c)]

[0090] Based on the above area calculation results, the quantity of work per meter on the tunnel cross-section can be easily obtained.

[0091] The method of the present application is implemented by collecting the engineering data of the tunnel, deriving the key circular arc parameters of the tunnel lining section, then calculating the area S enclosed by the tunnel circular arc and the tunnel center line according to the circular arc parameters and the tunnel center line, and further calculating the tunnel inner contour area through the area S enclosed by the tunnel circular arc and the tunnel center line; according to the area calculation formula similar to the inner contour, combining the corresponding tunnel circular arc parameters, linearly superimposing the calculation results, calculating the engineering quantity of each meter on the tunnel section, and completing the general calculation of the engineering quantity of each meter on the tunnel section.

[0092] The present application has the advantages that the present application realizes a general calculation method for tunnel engineering quantity, the method first calculates the cross-sectional area of the tunnel structure, and is further used for the calculation of the engineering quantity of each meter on the tunnel lining section, and after the method is programmed, the generalization, accuracy, efficiency and self-controllability can be realized.

[0093] The present application is suitable for general program calculation of the inner contour of various tunnels and the engineering quantity of tunnel structure, can calculate the inner contour area of tunnels with different section forms such as single circle, three-circle and five-circle under the condition of being independent of various software platforms and not being subject to people, and can calculate the tunnel section engineering quantity such as the tunnel lining section hole excavation quantity, reserved deformation quantity, sprayed concrete quantity, primary support inverted arch quantity, reinforced concrete arch wall and inverted arch quantity.

[0094] In the description of the present application, it should be understood that the orientation or positional relationship indicated by the terms "center", "thickness", "upper", "lower", "horizontal", "top", "bottom", "inner", "outer", "radial" and the like is based on the orientation or positional relationship shown in the drawings, and is only for the convenience of describing the present application and simplifying the description, and therefore cannot be understood as indicating or implying that the devices or elements referred to must have a particular orientation, be constructed and operated in a particular orientation, and therefore cannot be understood as limiting the present application. In addition, the terms "first", "second", "third" are only for the purpose of description, and cannot be understood as indicating or implying relative importance or implicitly indicating the number of technical features. Therefore, the features limited by "first", "second", "third" can explicitly or implicitly include one or more features.

Claims

1. A method for general calculation of tunnel quantities, characterized in that, The method comprises the following steps: S1, collecting tunnel engineering data, and then deriving tunnel section circular arc parameters; S2, calculating tunnel inner contour area according to the tunnel section circular arc parameters; The tunnel section circular arc parameters include the center of the tunnel inner contour, the tunnel circular arc, the vertical axis and the tunnel center line, and specifically include the following steps: S21, calculating the area enclosed by the tunnel circular arc and the tunnel center line according to the collected center of the tunnel inner contour and the tunnel center line, the coordinate of the center of the tunnel inner contour is (a, b), the horizontal coordinate of the vertical axis is x=a, the horizontal coordinate of the tunnel center line is x=c, and c is not less than the horizontal coordinate of any point in the interval of the tunnel circular arc, and the expression of the area enclosed by the tunnel circular arc and the tunnel center line is: In the formula, θ is the rotation angle, y-b=r*sinθ, y∈[y1, y2], r is the radius of the tunnel circular arc, y1 is the minimum vertical coordinate of the tunnel circular arc, and y2 is the maximum vertical coordinate of the tunnel circular arc; S22, obtaining the tunnel inner contour area according to the area enclosed by the tunnel circular arc and the tunnel center line; S3, obtaining the engineering quantity of each linear meter on the tunnel section according to the tunnel inner contour area.

2. The method of claim 1, wherein, In the step S22, the tunnel inner contour area includes the single circle tunnel inner contour area, the three circle tunnel inner contour area and the five circle tunnel inner contour area.

3. The method of claim 2, wherein, The expression of the area S of the profile inside the tunnel is given by: n The expression of the area S of the profile inside the tunnel is given by: where i is the serial number of the tunnel arc on the side of the center of the tunnel profile, a i ,b i ,r i ,y 1i and y 2i are the horizontal coordinate of the center of the tunnel arc i, the vertical coordinate of the center of the tunnel arc i, the radius of the tunnel arc i, the minimum vertical coordinate and the maximum vertical coordinate, respectively. n is the total number of the tunnel circular arcs on one side of the center of the tunnel inner contour.

Images