A design method for the inner contour of the lining of a large-span tunnel in a station

By drawing appropriately offset side wall arc design in the station section tunnel, the problems of untangent and unsmooth arcs in the traditional large-span tunnel lining design are solved, and the design of stable and smooth transitions of large-span sections is achieved, which improves the rationality, safety and reliability of construction.

CN116127552BActive Publication Date: 2025-05-30CHINA RAILWAY ERYUAN ENGINEERING GROUP CO LTD
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Patent Information

Application Number
CN202211410974.8
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-11-11
Publication Date
2025-05-30
Estimated Expiration
2042-11-11

AI Technical Summary

Technical Problem

The traditional large-span tunnel lining design cannot make the arcs of the horseshoe-shaped section tangent, the structural stress is defective, and the double-line section is not smooth when transitioning to three-line or above sections. The design has defects, making it difficult to ensure the stability and smooth transition of the large-span section.

Method used

By drawing the inner contour of ordinary double-line tunnel lining and appropriately offset the edge wall arc according to different section types (such as three-line and four-line), the radius and angle of the arc of the arch and the arch arc are unchanged, ensuring the smoothness of the transitions of each section.

Benefits of technology

It effectively solved the technical problem of the inner contour of the large span lining of the station section tunnel, provided a scientific basis for the design of the large span tunnel lining, ensured the smoothness of the transition of the large span tunnel lining, and made the design and construction more reasonable, safe and reliable.

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Abstract

A design method for the inner contour of the lining of a large-span tunnel in a station to ensure the smoothness of the lining transition. The steps are as follows: draw the inner contour of a common double-track tunnel; draw the widened section of the signal switch machine in the station section; draw the inner contour of a triple-track tunnel; draw the inner contour of a quadruple-track tunnel; draw the contour of the secondary lining. Based on the inner contour of the common double-track tunnel, the circular arcs of the arch part of the double-track tunnel, the right side wall circular arc of the double-track tunnel, and the left side wall circular arc of the double-track tunnel are offset outward by the lining thickness, and the circular arc of the inverted arch of the double-track tunnel is offset outward by the lining thickness. Taking the bottom endpoints of the right side wall circular arc and the left side wall circular arc of the double-track tunnel as the centers, draw auxiliary circular arcs with the same radius as the circular arc of the inverted arch of the double-track tunnel. Draw the intersection of the normal line at the bottom endpoint of the side wall circular arc and the auxiliary circular arc, and connect the intersection with the intersection of the inverted arch center to form an auxiliary side line. The intersection of the perpendicular bisector of the auxiliary side line and the normal line at the bottom endpoint of the side wall circular arc is the connecting circular arc between the side wall circular arc and the inverted arch circular arc.
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Description

Technical Field

[0001] The present invention relates to the technical field of railway engineering construction, and particularly relates to a design method for the inner contour of the lining of a large-span tunnel in a railway station. Background Art

[0002] With the progress of the overall national strength of our country and the progress of railway construction technology, railway construction has gradually developed towards remote mountainous areas. Due to the limitations of railway alignment and mountain terrain and landforms, railway stations have to be partially located inside tunnels. Due to the increase of arrival and departure lines, safety lines, turnouts, etc. in the station, the tunnel will be expanded from a common double-track section to a triple-track or even quadruple-track section, with an increase in span and excavation cross-sectional area, and the design and construction difficulty of the tunnel will also increase. Especially, the construction safety risk will also increase during the conversion of each section.

[0003] In traditional lining design of large-span tunnels, the arcs of the horseshoe-shaped section often cannot be tangent to each other, and there are defects in structural stress. Moreover, when transitioning from a double-track section to a triple-track or higher-section, it cannot be smoothly connected. It mainly depends on the connection during construction, and there are certain defects in the design.

[0004] How to reasonably design the inner contour of the large-span lining of a railway station to ensure the stability and smooth transition of the large-span section is a technical problem that urgently needs to be solved at present. Summary of the Invention

[0005] The technical problem to be solved by the present invention is to provide a design method for the inner contour of the lining of a large-span tunnel in a railway station, provide a scientific basis for the lining design of the large-span tunnel in the railway station, ensure the smoothness of the transition of the large-span tunnel lining, and make the lining design and construction of the large-span tunnel in the railway station more reasonable, safe and reliable.

[0006] The technical solutions adopted by the present invention to solve the above technical problems are as follows:

[0007] A design method for the inner contour of the lining of a large-span tunnel in a railway station according to the present invention includes the following steps:

[0008] S1. Draw the inner contour of the lining of a common double-track tunnel:

[0009] (1) First, determine the width of the inner contour of the lining of the common double-track tunnel according to the distance between the center lines of the left and right lines, the widths of the left and right rescue channels, and the building clearances of the left and right tunnels; determine the height of the inner contour of the lining of the common double-track tunnel according to the heights of the building clearances of the left and right tunnels and the height of the catenary;

[0010] (2) Draw the three-center arc of the arch wall of the inner contour. Consider earthquakes and safety distances to determine the safety distances from the outermost points of the building clearances of the left and right tunnels to the arch arc, so as to determine the radius of the arch arc of the double-track tunnel. The angle of the arch arc is 120°;

[0011] (3) Determine the right-side wall arc and left-side wall arc of the double-track tunnel based on three conditions: the width of the inner contour of the lining of the ordinary double-track tunnel, the leftmost control point, and the tangency of the arc at the arch connection point of the double-track tunnel;

[0012] (4) Determine the invert arc of the double-track tunnel according to the height of the track structure, the height of the drainage ditch, and the rise-span ratio of the invert. The side walls are connected to the invert arc of the double-track tunnel by the right-side connection arc between the side wall and the invert of the double-track tunnel and the left-side connection arc between the side wall and the invert of the double-track tunnel that are tangent to it;

[0013] S2. Draw the widened section of the signal switch machine in the station section:

[0014] (1) At the position where the signal switch machine is arranged by the signal specialty, the inner contour of the tunnel is widened by 90 cm;

[0015] (2) On the basis of the inner contour of the lining of the ordinary double-track tunnel, offset the right-side wall arc (17a) and the left-side wall arc of the double-track tunnel outward by 90 cm to reach the tunnel widening value, and keep the radius and angle of the side wall arc unchanged to obtain the right-side wall arc of the widened section of the double-track switch machine and the left-side wall arc of the widened section of the double-track switch machine;

[0016] (3) Draw the normal lines of the endpoints of the two side wall arcs near the arch, and the intersection of the two is the center of the arch arc, so as to draw the arch arc of the widened section of the double-track switch machine;

[0017] (4) Keep the rise-span ratio of the invert arc unchanged, and keep the center, angle, and radius of the connection arc between the side wall and the invert unchanged, so as to draw the invert arc of the widened section of the double-track switch machine, the right-side arc of the connection between the side wall and the invert of the widened section of the double-track switch machine, and the left-side arc of the connection between the side wall and the invert of the widened section of the double-track switch machine;

[0018] S3. Draw the inner contour of the lining of the three-track tunnel in the station section:

[0019] (1) On the basis of the inner contour of the lining of the ordinary double-track tunnel, offset the right-side wall arc and the left-side wall arc of the double-track tunnel outward by 5 m to reach the width of the lining of the three-track tunnel, and keep the radius and angle of the side wall arc unchanged to obtain the right-side wall arc and the left-side wall arc of the three-track tunnel;

[0020] (2) Draw the normal lines of the endpoints of the two side wall arcs near the arch, and the intersection of the two is the center of the arch arc, so as to draw the arch arc of the three-track tunnel;

[0021] (3) Keep the rise-span ratio of the invert arc unchanged, and keep the center, angle, and radius of the connection arc between the side wall and the invert unchanged, so as to draw the invert arc of the three-track tunnel, the right-side arc of the connection between the side wall and the invert of the three-track tunnel, and the left-side arc of the connection between the side wall and the invert of the three-track tunnel;

[0022] S4. Draw the inner contour of the four-track tunnel in the station section:

[0023] (1) On the basis of the inner contour of the ordinary double-track tunnel lining, offset the circular arcs of the right side wall and the left side wall of the double-track tunnel outward by 5 m respectively to reach the lining width of the three-track tunnel, and keep the radius and angle of the side wall circular arcs unchanged to obtain the circular arcs of the right side wall and the left side wall of the four-track tunnel;

[0024] (2) Draw the normal lines of the endpoints of the circular arcs of the two side walls near the arch, and the intersection of the two is the center of the circular arc of the arch, so as to draw the circular arc of the arch of the four-track tunnel;

[0025] (3) Keep the rise-span ratio of the inverted arch circular arc unchanged, and keep the center, angle and radius of the connecting circular arc between the side wall and the inverted arch unchanged, so as to draw the inverted arch circular arc of the four-track tunnel, the right connecting circular arc between the side wall and the inverted arch of the four-track tunnel, and the left connecting circular arc between the side wall and the inverted arch of the four-track tunnel;

[0026] S5. Draw the contour of the secondary lining:

[0027] Based on the inner contour of the ordinary double-track tunnel lining, offset the circular arc of the arch, the circular arc of the right side wall and the circular arc of the left side wall of the double-track tunnel outward by the lining thickness D, offset the circular arc of the inverted arch of the double-track tunnel outward by D + 5 cm. Taking the bottom endpoints of the circular arcs of the right side wall and the left side wall of the double-track tunnel as the centers, draw auxiliary circular arcs with the same radius as the circular arc of the inverted arch of the double-track tunnel. Draw the intersection of the normal line of the bottom endpoint of the side wall circular arc and the auxiliary circular arc, connect the intersection with the intersection of the inverted arch center, and form an auxiliary side line. The intersection of the perpendicular bisector of the auxiliary side line and the normal line of the bottom endpoint of the side wall circular arc is the connecting circular arc between the side wall circular arc and the inverted arch circular arc.

[0028] The beneficial effect of the present invention is that a design method for the inner contour of the large-span tunnel lining in the station is established by moving the circular arc of the side wall, effectively solving the technical problem of the inner contour of the large-span tunnel lining in the station section, providing a scientific basis for the design of the large-span tunnel lining in the station, ensuring the smoothness of the transition of the large-span tunnel lining, and making the design and construction of the large-span tunnel lining in the station more reasonable, safe and reliable. Brief Description of the Drawings

[0029] This specification includes the following five drawings:

[0030] Figure 1 is the plane layout drawing of the tunnel in the station section;

[0031] Figure 2 is the design drawing of the cross-section of the ordinary double-track tunnel ( Figure 1 A-A cross-section in it);

[0032] Figure 3 is the inner contour of the widened lining of the switch machine in the double-track tunnel ( Figure 1Design drawing of cross-section B-B;

[0033] Figure 4 is the design drawing of the inner contour of the triple-track tunnel lining ( Figure 1 in cross-section C-C);

[0034] Figure 5 is the design drawing of the inner contour of the quadruple-track tunnel lining ( Figure 1 in cross-section D-D);

[0035] Figure 6 is the design drawing of the secondary lining of the double-track tunnel;

[0036] The figure shows the part names and their corresponding markings:

[0037] The building limit of the left-line tunnel 11a, the building limit of the right-line tunnel 11b, the rescue passage 12, the center line of the left-line track 13, the center line of the right-line track 14, the center line of the double-track tunnel 15, the arch circular arc of the double-track tunnel 16, the right-side wall circular arc of the double-track tunnel 17a, the left-side wall circular arc of the double-track tunnel 17b, the connecting circular arc between the right-side wall and the invert of the double-track tunnel 18a, the connecting circular arc between the left-side wall and the invert of the double-track tunnel 18b, the invert circular arc of the double-track tunnel 19, the right-side wall circular arc of the widened section for double-track switch machine 20a, the left-side wall circular arc of the widened section for double-track switch machine 20b, the arch circular arc of the widened section for double-track switch machine 21, the right connecting circular arc between the side wall and the invert of the widened section for double-track switch machine 22a, the left connecting circular arc between the side wall and the invert of the widened section for double-track switch machine 22b, the invert circular arc of the widened section for double-track switch machine 23, the center line of the safety line 24, the right-side wall circular arc of the triple-track tunnel 25a, the left-side wall circular arc of the triple-track tunnel 25b, the arch circular arc of the triple-track tunnel 26, the right connecting circular arc between the side wall and the invert of the triple-track tunnel 27a, the left connecting circular arc between the side wall and the invert of the triple-track tunnel 27b, the invert circular arc of the triple-track tunnel 28, the center line of the arrival and departure track 29, the right-side wall circular arc of the quadruple-track tunnel 30a, the left-side wall circular arc of the quadruple-track tunnel 30b, the arch circular arc of the quadruple-track tunnel 31, the right connecting circular arc between the side wall and the invert of the quadruple-track tunnel 32a, the left connecting circular arc between the side wall and the invert of the quadruple-track tunnel 32b, the invert circular arc of the quadruple-track tunnel 33, the auxiliary circular arc 34, the normal line at the bottom end point of the side wall circular arc 35, the auxiliary side line 36, the connecting circular arc between the side wall and the invert 37, O 1 is the center of the arch circular arc, O 2 is the center of the side wall circular arc, O 3 is the center of the connecting circular arc between the side wall and the invert, O 4 is the center of the invert circular arc, α is the corresponding angle of the side wall circular arc, β is the corresponding angle of the connecting circular arc between the side wall and the invert.

[0038] Figures 2 to 6 The bottom numbers in the figure are dimensions, unit: cm. Specific implementation method

[0039] The present invention will be specifically described below through embodiments. These embodiments are only used to further illustrate the present invention, but should not be construed as limiting the protection scope of the present invention. Some non-essential improvements and adjustments made by those skilled in the art based on the above content of the present invention also fall within the protection scope of the present invention.

[0040] A method for designing the inner contour of a large-span tunnel lining in a station according to the present invention includes the following steps:

[0041] S1. Draw the inner contour of a common double-track tunnel with reference to Figure 1 and Figure 2 :

[0042] (1) First, determine the width of the inner contour of the common double-track tunnel according to the distance between the center lines 13 of the left-line track and 14 of the right-line track, the widths of the left rescue passage 12a and the right rescue passage 12b, and the building clearances 11a of the left-line tunnel and 11b of the right-line tunnel; determine the height of the inner contour of the common double-track tunnel according to the heights of the building clearances 11a of the left-line tunnel and 11b of the right-line tunnel and the catenary height.

[0043] (2) Draw a three-centered circular arc for the arch wall of the inner contour. Consider the earthquake and safety distance to determine the safety distance from the outermost points of the building clearances 11a of the left-line tunnel and 11b of the right-line tunnel to the arch circular arc, so as to determine the radius of the arch circular arc 16 of the double-track tunnel. The angle of the arch circular arc is 120°.

[0044] (3) Determine the right-side wall circular arc 17a and the left-side wall circular arc 17b of the double-track tunnel according to the three conditions of the width of the inner contour of the common double-track tunnel, the leftmost control point, and the tangency of the connection point of the arch circular arc 16 of the double-track tunnel.

[0045] (4) Determine the invert circular arc 19 of the double-track tunnel according to the height of the track structure, the height of the drainage ditch, and the rise-span ratio of the invert. The right-side wall of the double-track tunnel and the invert are connected by the right-side wall and invert connection circular arc 18a tangent to it, and the left-side wall of the double-track tunnel and the invert are connected by the left-side wall and invert connection circular arc 18b tangent to it.

[0046] S2. Draw the widened section for the signal switch machine in the station section with reference to Figure 3 :

[0047] (1) At the position where the signal switch machine is arranged by the signal specialty, the inner contour of the tunnel is widened by 90 cm.

[0048] (2) On the basis of the inner contour of the common double-track tunnel lining, offset the right-side wall circular arc 17a and the left-side wall circular arc 17b of the double-track tunnel 90 cm outward to reach the tunnel widening value, and keep the radius and angle of the side wall circular arc unchanged to obtain the right-side wall circular arc (20a) of the widened section for the double switch machine and the left-side wall circular arc 20b of the widened section for the double switch machine.

[0049] (3) Draw the normal lines of the endpoints of the arcs of the two side walls near the arch, and the intersection of the two is the center of the arch arc, so as to draw the arch arc 21 of the widened section of the double - line switch machine;

[0050] (4) Keep the rise - span ratio of the inverted - arch arc unchanged, and keep the center, angle and radius of the connecting arc between the side wall and the inverted - arch unchanged, so as to draw the inverted - arch arc 23 of the widened section of the double - line switch machine, the right connecting arc 22a between the side wall and the inverted - arch of the widened section of the double - line switch machine, and the left connecting arc 22b between the side wall and the inverted - arch of the widened section of the double - line switch machine;

[0051] S3. Draw the inner contour of the lining of the three - track tunnel in the station section, referring to Figure 4 :

[0052] (1) On the basis of the inner contour of the lining of the ordinary double - line tunnel, offset the right - hand side - wall arc 17a and the left - hand side - wall arc 17b of the double - line tunnel outward by 5 m to reach the lining width of the three - track tunnel, and keep the radius and angle of the side - wall arc unchanged to obtain the right - hand side - wall arc 25a and the left - hand side - wall arc 25b of the three - track tunnel;

[0053] (2) Draw the normal lines of the endpoints of the arcs of the two side walls near the arch, and the intersection of the two is the center of the arch arc, so as to draw the arch arc 26 of the three - track tunnel;

[0054] (3) Keep the rise - span ratio of the inverted - arch arc unchanged, and keep the center, angle and radius of the connecting arc between the side wall and the inverted - arch unchanged, so as to draw the inverted - arch arc 28 of the three - track tunnel, the right connecting arc 27a between the side wall and the inverted - arch of the three - track tunnel, and the left connecting arc 27b between the side wall and the inverted - arch of the three - track tunnel;

[0055] S4. Draw the inner contour of the lining of the four - track tunnel in the station section, referring to Figure 5 :

[0056] (1) On the basis of the inner contour of the lining of the ordinary double - line tunnel, offset the right - hand side - wall arc 17a and the left - hand side - wall arc 17b of the double - line tunnel outward by 5 m respectively to reach the lining width of the four - track tunnel, and keep the radius and angle of the side - wall arc unchanged to obtain the right - hand side - wall arc 30a and the left - hand side - wall arc 30b of the four - track tunnel;

[0057] (2) Draw the normal lines of the endpoints of the arcs of the two side walls near the arch, and the intersection of the two is the center of the arch arc, so as to draw the arch arc 31 of the four - track tunnel;

[0058] (3) Keep the rise - span ratio of the inverted - arch arc unchanged, and keep the center, angle and radius of the connecting arc between the side wall and the inverted - arch unchanged, so as to draw the inverted - arch arc 33 of the four - track tunnel, the right connecting arc 32a between the side wall and the inverted - arch of the four - track tunnel, and the left connecting arc 32b between the side wall and the inverted - arch of the four - track tunnel;

[0059] S5. Draw the outline of the secondary lining with reference to Figure 6 :

[0060] Based on the inner contour of the lining of a common double-track tunnel, the circular arcs of the arch part of the double-track tunnel (16), the circular arc of the right side wall of the double-track tunnel (17a), and the circular arc of the left side wall of the double-track tunnel (17b) are offset outward by the lining thickness D, and the circular arc of the inverted arch of the double-track tunnel (19) is offset outward by the lining thickness D + 5 cm. Taking the bottom endpoints of the circular arc of the right side wall of the double-track tunnel (17a) and the circular arc of the left side wall of the double-track tunnel (17b) as the centers and with the same radius as the circular arc of the inverted arch of the double-track tunnel (19), draw an auxiliary circular arc (34). Draw the normal line (35) of the bottom endpoint of the side wall circular arc to intersect with the auxiliary circular arc (34), and connect the intersection point with the intersection point of the inverted arch center to form an auxiliary side line (36). The intersection point of the perpendicular bisector of the auxiliary side line and the normal line of the bottom endpoint of the side wall circular arc is the connecting circular arc (37) between the side wall circular arc and the inverted arch circular arc.

[0061] The present invention establishes a design method for the inner contour of the lining of a large-span tunnel in a station by moving the side wall circular arc, effectively solves the technical problems of the inner contour of the large-span lining of the tunnel in the station section, provides a scientific basis for the lining design of the large-span tunnel in the station, ensures the smoothness of the transition of the large-span tunnel lining, and makes the lining design and construction of the large-span tunnel in the station more reasonable, safe and reliable.

Claims

1. A design method for the inner contour of a large-span tunnel in a station, comprising the following steps: S1. Draw the inner contour of a general double-track tunnel: (1) First, determine the width of the inner contour of the general double-track tunnel according to the distance between the center lines of the left-line track (13) and the right-line track (14), the widths of the left rescue passage (12a) and the right rescue passage (12b), and the building clearances of the left-line tunnel (11a) and the right-line tunnel (11b); determine the height of the inner contour of the general double-track tunnel according to the heights of the building clearances of the left-line tunnel (11a) and the right-line tunnel (11b) and the catenary height. (2) Draw a three-centered circular arc for the arch wall of the inner contour. Consider the earthquake and safety distance to determine the safety distance from the outermost points of the building clearances of the left-line tunnel (11a) and the right-line tunnel (11b) to the arch circular arc, so as to determine the radius of the arch circular arc (16) of the double-track tunnel. The angle of the arch circular arc is 120°. (3) Determine the right-side wall circular arc (17a) and the left-side wall circular arc (17b) of the double-track tunnel according to the three conditions of the width of the inner contour of the general double-track tunnel, the leftmost control point, and the tangency at the connection point of the arch circular arc (16) of the double-track tunnel. (4) Determine the invert circular arc (19) of the double-track tunnel according to the height of the track structure, the height of the drainage ditch, and the rise-span ratio of the invert. The side walls are connected to the invert circular arc (19) of the double-track tunnel by the right-side wall and invert connection circular arc (18a) and the left-side wall and invert connection circular arc (18b) that are tangent to it. S2. Draw the widened section for the signal switch machine in the station section: (1) At the position where the signal switch machine is arranged by the signal specialty, the inner contour of the tunnel is widened by 90 cm. (2) On the basis of the inner contour of the general double-track tunnel lining, offset the right-side wall circular arc (17a) and the left-side wall circular arc (17b) of the double-track tunnel outward by 90 cm to reach the tunnel widening value, and keep the radius and angle of the side wall circular arc unchanged to obtain the right-side wall circular arc (20a) and the left-side wall circular arc (20b) of the widened section for the double-track switch machine. (3) Draw the normal lines at the endpoints of the two side wall circular arcs close to the arch, and the intersection of the two is the center of the arch circular arc, so as to draw the arch circular arc (21) of the widened section for the double-track switch machine. (4) Keep the rise-span ratio of the invert circular arc unchanged, and keep the center, angle, and radius of the side wall and invert connection circular arc unchanged, so as to draw the invert circular arc (23) of the widened section for the double-track switch machine and the right-side arc (22a) and the left-side arc (22b) of the side wall and invert connection of the widened section for the double-track switch machine. S3. Draw the inner contour of the three-track tunnel lining in the station section: (1) On the basis of the inner contour of the general double-track tunnel lining, offset the right-side wall circular arc (17a) and the left-side wall circular arc (17b) of the double-track tunnel outward by 5 m to reach the width of the three-track tunnel lining, and keep the radius and angle of the side wall circular arc unchanged to obtain the right-side wall circular arc (25a) and the left-side wall circular arc (25b) of the three-track tunnel. (2)Draw the normal lines of the endpoints of the arcs of the two side walls near the arch, and the intersection of the two is the center of the arch arc, so as to draw the arch arc (26) of the three-track tunnel; (3)Keep the rise-span ratio of the inverted arch arc unchanged, and keep the center, angle and radius of the connecting arc between the side wall and the inverted arch unchanged, so as to draw the inverted arch arc (28) of the three-track tunnel, the right connecting arc (27a) between the side wall and the inverted arch of the three-track tunnel, and the left connecting arc (27b) between the side wall and the inverted arch of the three-track tunnel; S4. Draw the inner contour of the lining of the four-track tunnel in the station section: (1)On the basis of the inner contour of the lining of the ordinary double-track tunnel, offset the right-side wall arc (17a) and the left-side wall arc (17b) of the double-track tunnel outward by 5 m respectively to reach the lining width of the three-track tunnel, and keep the radius and angle of the side wall arc unchanged to obtain the right-side wall arc (30a) and the left-side wall arc (30b) of the four-track tunnel; (2)Draw the normal lines of the endpoints of the arcs of the two side walls near the arch, and the intersection of the two is the center of the arch arc, so as to draw the arch arc (31) of the four-track tunnel; (3)Keep the rise-span ratio of the inverted arch arc unchanged, and keep the center, angle and radius of the connecting arc between the side wall and the inverted arch unchanged, so as to draw the inverted arch arc (33) of the four-track tunnel, the right connecting arc (32a) between the side wall and the inverted arch of the four-track tunnel, and the left connecting arc (32b) between the side wall and the inverted arch of the four-track tunnel; S5. Draw the contour of the secondary lining: Based on the inner contour of the lining of the ordinary double-track tunnel, offset the arch arc (16) of the double-track tunnel, the right-side wall arc (17a) of the double-track tunnel and the left-side wall arc (17b) of the double-track tunnel outward by the lining thickness (D), and offset the inverted arch arc (19) of the double-track tunnel outward by the lining thickness (D + 5 cm). Taking the bottom endpoints of the right-side wall arc (17a) and the left-side wall arc (17b) of the double-track tunnel as the centers, draw an auxiliary arc (34) with the same radius as the inverted arch arc (19) of the double-track tunnel. Draw the normal line (35) of the bottom endpoint of the side wall arc to intersect with the auxiliary arc (34), and connect the intersection point with the intersection point of the inverted arch center to form an auxiliary side line (36). The intersection point of the perpendicular bisector of the auxiliary side line and the normal line of the bottom endpoint of the side wall arc is the connecting arc (37) between the side wall arc and the inverted arch arc.

Citation Information

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