CN112287549B - Optimization method of light distribution mode of middle section of curve tunnel - Google Patents
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Abstract
The invention discloses an optimization method of a light distribution mode of a middle section of a curved tunnel, which comprises the following steps: s1, determining the area of a lighting blind area in a light distribution mode; s2, determining the lamp arrangement distance of the lamp arrangement mode; s3, judging whether the lamp arrangement distance meets the design requirement of tunnel illumination, and if so, taking the lamp arrangement mode with the maximum lamp arrangement distance or the minimum illumination blind area as an optimal lamp arrangement mode; if not, the light distribution mode without the area of the lighting blind area is used as the optimal light distribution mode. The optimization method for the light distribution mode of the middle section of the curved tunnel can effectively and reliably screen out the optimal light distribution mode, reduces the manual measuring and calculating cost and improves the efficiency of screening the light distribution mode.
Description
Technical Field
The invention relates to the field of tunnel illumination, in particular to an optimization method of a light distribution mode of a middle section of a curved tunnel.
Background
Although the national traffic industry standard road tunnel lighting design rules (JTG/T D702-01-2014) makes corresponding regulations on tunnel lighting design, the relations among a light distribution mode, lamp spacing, tunnel curvature radius and light ray dead zones are not involved. In addition, the effect of the road tunnel lighting mode and the lamp specification on lighting is researched, but curve tunnel lighting is rarely researched, and especially research on the lighting mode of the curve tunnel is lacked.
Disclosure of Invention
In view of the above, the present invention aims to overcome the defects in the prior art, and provide an optimization method for a lamp arrangement mode in the middle section of a curved tunnel, which can effectively and reliably screen out an optimal lamp arrangement mode, reduce the manual measurement and calculation cost, and improve the efficiency of the screening of the lamp arrangement mode.
The invention discloses an optimization method of a lamp distribution mode at the middle section of a curved tunnel, which comprises the following steps of:
s1, determining the area of a lighting blind area in a light distribution mode;
s2, determining the lamp arrangement distance of the lamp arrangement mode;
s3, judging whether the lamp arrangement distance meets the design requirement of tunnel illumination, and if so, taking the lamp arrangement mode with the largest lamp arrangement distance or the smallest illumination blind area as the optimal lamp arrangement mode; if not, the light distribution mode without the area of the lighting blind area is used as the optimal light distribution mode.
Further, step S1 specifically includes:
if the lamp arrangement mode is the lamp arrangement on the inner side of the curve tunnel curve, the lighting blind area S of the lamp arrangement on the inner side of the curve tunnel curve Blind person 1 ：
Wherein S is 1 Arranging the light distance of the light on the inner side of the curve of the curved tunnel; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is the lamp arrangement on the outer side of the curve tunnel curve, the lighting blind area S of the lamp arrangement on the outer side of the curve tunnel curve Blind 2 ：
Wherein S is 2 Arranging the lamps at the lamp arrangement intervals of the outer sides of the curves of the curved tunnels; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is bilateral symmetrical lamp arrangement of the curve tunnel curve, the lighting blind area S of bilateral symmetrical lamp arrangement of the curve tunnel curve Blind person 3 ：
Wherein S is 3 The lamp arrangement distance is the symmetrical lamp arrangement distance at the two sides of the curve tunnel bend; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is the bilateral staggered lamp arrangement of the curve tunnel curve, the lighting blind area S of the bilateral staggered lamp arrangement of the curve tunnel curve Blind 4 ：
Wherein S is 4 The lamp arrangement distance is the lamp arrangement distance of staggered lamp arrangement at two sides of a curve tunnel bend; l is the distance between two lamps in staggered arrangement; alpha is L 1 And L 2 Of said angle L 1 A connecting line between two lamps in staggered arrangement, L 2 The lamp is a connecting line between the position of the lamp on the outer side of the curve tunnel and the curvature center of the curve tunnel; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel.
Further, step S2 specifically includes:
if the lamp arrangement mode is the lamp arrangement on the inner side of the curve tunnel curve, the lamp arrangement distance S of the lamp arrangement on the inner side of the curve tunnel curve is determined according to the following formula 1 ：
Wherein L is the standard vehicle body length; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is the lamp arrangement on the outer side of the curve tunnel curve, the lamp arrangement distance S of the lamps arranged on the outer side of the curve tunnel curve is determined according to the following formula 2 ：
Wherein L is the standard vehicle body length; w is the width of a standard vehicle body; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is bilateral symmetry lamp arrangement of the curve tunnel curve, the lamp arrangement distance S of the bilateral symmetry lamp arrangement of the curve tunnel curve is determined according to the following formula 3 ：
Wherein R is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is bilateral staggered lamp arrangement of the curve tunnel curve, the lamp arrangement space S of bilateral staggered lamp arrangement of the curve tunnel curve is determined according to the following formula 4 ：
Wherein L is the standard automobile body length; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel; alpha is a staggered lamp arrangement included angle.
Further, in step S3, the tunnel lighting design requirement is: v/S<Z 1 Or v/S>Z 2 (ii) a Wherein v is the tunnel lighting design speed; s is the lamp arrangement distance of the tunnel lamp arrangement mode; z 1 And Z 2 Are the flicker frequencies of the lighting fixtures.
The invention has the beneficial effects that: the optimization method of the light distribution mode of the middle section of the curved tunnel, disclosed by the invention, judges whether the light distribution space meets the tunnel lighting design requirement or not by determining the area of the lighting blind area of the light distribution mode and obtaining the light distribution space of the light distribution mode so as to obtain the optimal light distribution mode meeting the requirement.
Drawings
The invention is further described below with reference to the following figures and examples:
FIG. 1 is a schematic diagram of the process configuration of the present invention;
FIG. 2 is a graph showing an analysis of the inner side of a curve tunnel curve in a lamp arrangement manner according to the present invention;
FIG. 3 is a graph showing an analysis of the lamp arrangement at the outer side of a curve tunnel curve according to the present invention;
FIG. 4 is a diagram of a bilateral symmetrical lamp arrangement mode analysis of a curve tunnel curve of the present invention;
fig. 5 is an analysis diagram of a curve tunnel curve bilateral staggered lamp arrangement mode of the invention.
Detailed Description
The invention is further described with reference to the accompanying drawings, in which:
the optimization method of the middle section lamp distribution mode of the curve tunnel, as shown in figure 1, comprises the following steps:
s1, determining the area of a lighting blind area in a light distribution mode;
s2, determining the lamp arrangement distance of the lamp arrangement mode;
s3, judging whether the lamp arrangement distance meets the design requirement of tunnel illumination, and if so, taking the lamp arrangement mode with the largest lamp arrangement distance or the smallest illumination blind area as the optimal lamp arrangement mode; if not, the light distribution mode without the area of the lighting blind area is used as the optimal light distribution mode.
In this embodiment, in step S1, determining the area of the lighting blind area in the light distribution mode specifically includes:
if the lamp arrangement mode is the lamp arrangement on the inner side of the curve tunnel bend, as shown in fig. 2, B 1 、B 2 Representing the installation position of the lamp, wherein O is the curvature center corresponding to the curve tunnel; OB 1 、OB 2 The intersection point of the extension lines and the center line of the curved tunnel is B 1 '、B 2 '，B 1 ' and B 2 ' arc length formed represents lamp spacing S 1 。B 1 The lamp irradiation area is B 11 And B 12 Area of the formed chordal domain, wherein B 11 And B 12 To be B 1 The tangent of the curve at the inner side of the curve tunnel curve which is the tangent point and two intersection points of the curve at the outer side of the curve tunnel curve; b is 2 The lamp irradiation area is B 21 And B 22 Area of formed chordal region, wherein point B 21 And point B 22 To be B 2 The tangent of the curve at the inner side of the curve tunnel curve which is the tangent point and two intersection points of the curve at the outer side of the curve tunnel curve; b is 1 C and B 2 The formed area is the lighting blind area of the two lamps, wherein C is a passing point B 1 Tangent and passing point B of 2 The intersection of the tangent lines of (a); illumination blind area S formed by illumination blind areas Blind person 1 ：
Wherein S is 1 Is B 1 ' and B 2 ' arc length formed; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is the lamp arrangement mode at the outer side of the curve tunnel curve, as shown in fig. 3, A 1 、A 2 Representing the installation position of the lamp, wherein O is the curvature center corresponding to the curve tunnel; OA 1 、OA 2 A 'respectively as the confluence point with the center line of the curve tunnel' 1 、A′ 2 ，A′ 1 And A' 2 The arc length formed represents the lamp spacing S 2 。A 1 The lamp irradiation area is A 11 And A 12 Area of the formed arc region, wherein A 11 And A 12 Are respectively represented by 1 Tangent points of two tangent lines are made towards the curve at the inner side of the curve tunnel bend; a. the 2 The lamp irradiation area is A 21 And A 22 Area of the formed arc region, wherein A 21 And A 22 Are respectively represented by 2 Tangent points of two tangent lines are made towards the curve at the inner side of the curve tunnel bend; a. the 1 、B、A 2 The formed area is two lighting blind areas, wherein B is A 1 A 12 And A 2 A 21 The meeting point of (a). Then the lighting blind area S of the lamps arranged on the outer side of the curve tunnel curve Blind 2 ：
Wherein S is 2 Is A' 1 And A' 2 The length of the arc formed; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is bilateral symmetry lamp arrangement of curve tunnel bend, as shown in fig. 4, C 1 Lamp and D 1 The lamps are symmetrical along the center line of the curved tunnel, C 2 Lamp andD 2 the lamps are symmetrical along the center line of the curved tunnel, wherein C 1 、C 2 Located outside the curve of the curved tunnel, D 1 、D 2 Is positioned at the inner side of the curve of the curved tunnel; o is a curvature center corresponding to the curve tunnel; OD 1 、OD 2 The intersection point of the extension line and the center line of the curved tunnel is D' 1 、D′ 2 ，D′ 1 And D' 2 The length of the formed arc represents D 1 、D 2 Distance S between lamps 3 While S is 3 Is also C 1 、C 2 The spacing of the lamps. C 1 The lamp irradiation area is C 11 And C 12 Area of formed arc region, wherein C 11 And C 12 Are respectively over C 1 Tangent points of two tangent lines are made towards the curve at the inner side of the curve tunnel bend; c 2 The lamp irradiation area is C 21 And C 22 Area of formed arc region, wherein C 21 And C 22 Are respectively over C 2 Tangent points of two tangent lines are made towards the curve at the inner side of the curve tunnel bend; d 1 The lamp irradiation area is D 11 And D 12 Area of the formed chordal domain wherein D 11 And D 12 Are respectively represented by D 1 The intersection point of the tangent line of the curve tunnel curve inner side curve of the tangent point and the curve tunnel curve outer side curve; d 2 The lamp irradiation area is D 21 And D 22 Area of the formed chordal domain wherein D 21 And D 22 Are respectively represented by D 2 The intersection point of the tangent line of the curve tunnel curve inner side curve of the tangent point and the curve tunnel curve outer side curve; A. b, C, D is a lighting blind area, wherein A is C 1 D 2 And D 11 D 12 B is D 11 D 12 And D 21 D 22 C is D 21 D 22 And C 2 D 1 D is C 1 D 2 And C 2 D 1 The meeting point of (a). Then the lighting blind area S of the bilaterally symmetrical lamps on the curve tunnel curve Blind person 3 ：
Wherein S is 3 Is D' 1 And D' 2 The length of the arc formed; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is the bilateral staggered lamp arrangement mode at the curve tunnel bend, as shown in FIG. 5, E 1 Lamp and F 1 Lamps in the place are staggered, E 2 Lamp and F 2 The lamps are staggered, wherein E 1 、E 2 Located outside the curve of the curved tunnel, F 1 、F 2 Located inside the curve of the curved tunnel, E 1 、E 2 Length of arc formed and F 1 、F 2 The arc lengths formed are equal; o is a curvature center corresponding to the curve tunnel; OE (organic electroluminescent) 1 、OE 2 The junction points with the center line of the curved tunnel are respectively E' 1 、E′ 2 ，E′ 1 And E' 2 The length of the arc formed represents E 1 、E 2 The distance between the lamps; OF 1 、OF 2 The intersection point of the extension line of (2) and the center line of the curved tunnel is F' 1 、F′ 2 ，F′ 1 And F' 2 The length of the arc formed represents F 1 、F 2 The distance between the lamps; wherein E is 1 、E 2 Distance between lamps and F 1 、F 2 The spacing of the lamps can be converted into each other through geometric relations. E 1 The lamp irradiation area is E 11 And E 12 Area of arc domain formed, wherein E 11 And E 12 Are each per E 1 Tangent points of two tangent lines are made towards the curve at the inner side of the curve tunnel bend; e 2 The lamp irradiation area is E 21 And E 22 Area of arc domain formed, wherein E 21 And E 22 Are each per E 2 Tangent points of two tangent lines are made towards the curve at the inner side of the curve tunnel bend; f 1 The lamp irradiation area is F 11 And F 12 Area of the formed chordal domain wherein F 11 And F 12 Are respectively represented by F 1 Tangent line of curve inside curve of curve tunnel curve as tangent point and curve tunnel curveThe intersection of the outside curves; f 2 The lamp irradiation area is F 21 And F 22 Area of the formed chordal domain wherein F 21 And F 22 Are respectively represented by F 2 The intersection point of the tangent line of the curve tunnel curve inner side curve of the tangent point and the curve tunnel curve outer side curve; A. b, C, D, wherein A is F 11 F 12 And F 21 F 22 B is F 11 F 12 And E 1 F 2 C is E 1 F 2 And E 2 F 1 D is E 2 F 1 And F 21 F 22 The junction of (1). Then the lighting blind area S of the lamps distributed on the two sides of the curve tunnel curve in a staggered manner Blind 4 ：
Wherein S is 4 Is F' 1 And F' 2 The length of the arc formed; l is d Is E 1 And F 1 The distance between them; alpha is L 1 And L 2 Of said angle L 1 The positions E of two lamps for staggered arrangement 1 、F 1 A line therebetween, said L 2 Is the position E of the lamp outside the curve tunnel curve 1 A connecting line with the curvature center O of the curve tunnel; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel.
In this embodiment, the step S2 specifically includes:
if the lamp arrangement mode is the lamp arrangement on the inner side of the curve tunnel curve, under the condition that the area of the lighting blind area exists, the lamp arrangement space S of the lamp arrangement on the inner side of the curve tunnel curve is determined according to the following formula 1 ：
Wherein L is the standard vehicle body length; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is the lamp arrangement on the outer side of the curve tunnel curve, under the condition that the area of the lighting blind zone exists, the lamp arrangement space S of the lamp arrangement on the outer side of the curve tunnel curve is determined according to the following formula 2 ：
Wherein L is the standard vehicle body length; w is the width of a standard vehicle body; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is bilateral symmetry lamp arrangement of the curve tunnel curve, under the condition that the illumination blind area exists, the lamp arrangement space S of the bilateral symmetry lamp arrangement of the curve tunnel curve is determined according to the following formula 3 ：
Wherein R is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is bilateral staggered lamp arrangement of the curve tunnel curve, under the condition that the area of the illumination blind zone exists, the lamp arrangement space S of bilateral staggered lamp arrangement of the curve tunnel curve is determined according to the following formula 4 ：
Wherein L is the standard automobile body length; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel; alpha is a staggered lamp arrangement included angle.
In this embodiment, in step S3, the tunnel lighting design requirement is: v/S<Z 1 Or v/S>Z 2 (ii) a Wherein v is the tunnel lighting design speed; s is a lamp arrangement distance of a tunnel lamp arrangement mode; z is a linear or branched member 1 And Z 2 Are the flicker frequencies of the lighting fixtures. Different types of lamps can be adopted in the middle section of the curved tunnelThe types of the lighting lamps used for the curve tunnels are different, and the flicker frequency Z is 1 And Z 2 The values of (a) are also different. Taking LED lamp illumination as an example, Z 1 Is 2.5Hz, said Z 2 Is 15 Hz; in the case of using LED lamps for illumination, the range of lamp spacing for different design speeds can be obtained, as shown in table 1:
TABLE 1
For the inner side of the curve tunnel bend: area S of lighting blind area Blind 1 When present, i.e. S Blind 1 >When the standard vehicle body length L is determined at 0, the larger the curvature radius R of the curved tunnel is, the S 1 The larger; in the case of a curved tunnel with a defined radius of curvature R, the greater the standard body length L, S 1 The larger; and S 1 All meet the design requirements of tunnel illumination.
For the outer side of the curve tunnel bend, arranging lamps: area S of lighting blind area Blind 2 When present, i.e. S Blind 2 >When the standard vehicle body length L and the standard vehicle body width W are determined at 0, S 2 The curvature radius R of the curved tunnel is increased; under the condition that the curvature radius R of the curved tunnel and the standard vehicle body length L are determined, S 2 Decreases with an increase in the standard vehicle body width W; when the curvature radius R of the curved tunnel is determined to the standard vehicle body width W, S 2 The length L of the standard car body increases along with the increase of the length L of the standard car body; and S 2 All meet the design requirements of tunnel illumination.
The lamp arrangement at the inner side of the curve tunnel curve is S compared with the lamp arrangement at the outer side of the curve tunnel curve in the aspect of lamp arrangement distance 1 >S 2 Taking the light distribution on the inner side of the curve of the curved tunnel as an optimal light distribution mode in view of saving cost; compared with the lamps arranged on the outer side of the curve tunnel curve in the aspect of lighting blind area, the lamps arranged on the inner side of the curve tunnel curve have S Blind 1 <S Blind 2 Then, considering the aspect of driving safetyAnd taking the lamp arrangement on the inner side of the curve tunnel curve as an optimal lamp arrangement mode.
For bilateral symmetrical lamp arrangement of curve tunnel bend: area S of lighting blind area Blind person 3 When present, i.e. S Blind person 3 >Radius of curvature R of curved tunnel at 0 deg.C<1000m, and the resulting lamp spacing S 3 >152.19 m; however, S 3 >152.19m obviously does not meet the design requirement of tunnel illumination, that is, the bilateral symmetrical lamp arrangement of the curve tunnel curve has no illumination blind area; and then, considering the aspect of traffic safety, the bilateral symmetrical lamp arrangement of the curve tunnel curve is used as an optimal lamp arrangement mode.
For curve tunnel curve bilateral staggered lamp arrangement: area S of lighting blind area Blind 4 When present, i.e. S Blind 4 >Radius of curvature R of curved tunnel at 0 deg.C<1000m, and the resulting lamp spacing S 4 >162.08 m; however, S 4 >162.08m obviously does not meet the design requirement of tunnel illumination, that is, the lamps are distributed in a staggered mode on two sides of a curve tunnel curve, so that no illumination dead zone area exists; and then, considering the aspect of traffic safety, the lamp arrangement in a staggered manner on both sides of the curve tunnel curve is used as an optimal lamp arrangement mode.
Finally, the above embodiments are only for illustrating the technical solutions of the present invention and not for limiting, although the present invention has been described in detail with reference to the preferred embodiments, it should be understood by those skilled in the art that modifications or equivalent substitutions may be made to the technical solutions of the present invention without departing from the spirit and scope of the technical solutions of the present invention, and all of them should be covered in the claims of the present invention.
Claims (3)
1. The optimization method of the light distribution mode of the middle section of the curved tunnel is characterized by comprising the following steps of: the method comprises the following steps:
s1, determining the area of a lighting blind area in a light distribution mode;
the step S1 specifically includes:
if the lamp arrangement mode is the lamp arrangement on the inner side of the curve tunnel curve, the lighting blind area S of the lamp arrangement on the inner side of the curve tunnel curve Blind 1 ：
Wherein S is 1 Arranging the light distance of the light on the inner side of the curve of the curved tunnel; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is the lamp arrangement on the outer side of the curve tunnel curve, the lighting blind area S of the lamp arrangement on the outer side of the curve tunnel curve Blind 2 ：
Wherein S is 2 The lamp arrangement distance is the lamp arrangement distance of the lamps on the outer side of the curve of the curved tunnel; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is bilateral symmetry lamp arrangement of curve tunnel bend, then the illumination blind area S of bilateral symmetry lamp arrangement of curve tunnel bend Blind person 3 ：
Wherein S is 3 The lamp arrangement distance is the symmetrical lamp arrangement distance at the two sides of the curve tunnel bend; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is the bilateral staggered lamp arrangement of the curve tunnel curve, the lighting blind area S of the bilateral staggered lamp arrangement of the curve tunnel curve Blind 4 ：
Wherein S is 4 The lamp arrangement distance is the lamp arrangement distance of staggered lamp arrangement at two sides of a curve tunnel bend; l is the distance between two lamps in staggered arrangement; alpha is L 1 And L 2 The angle of,said L 1 A connecting line between two lamps in staggered arrangement, L 2 The lamp is a connecting line between the position of the lamp on the outer side of the curve tunnel and the curvature center of the curve tunnel; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
s2, determining the lamp arrangement distance of the lamp arrangement mode;
s3, judging whether the lamp arrangement distance meets the design requirement of tunnel illumination, and if so, taking the lamp arrangement mode with the maximum lamp arrangement distance or the minimum illumination blind area as an optimal lamp arrangement mode; if not, the light distribution mode without the area of the lighting blind area is used as the optimal light distribution mode.
2. The optimization method for the middle section lamp arrangement mode of the curved tunnel according to claim 1, characterized in that: the step S2 specifically includes:
if the lamp arrangement mode is the lamp arrangement on the inner side of the curve tunnel curve, determining the lamp arrangement distance S of the lamp arrangement on the inner side of the curve tunnel curve according to the following formula 1 ：
Wherein L is the standard vehicle body length; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is the lamp arrangement on the outer side of the curve tunnel curve, determining the lamp arrangement distance S of the lamp arrangement on the outer side of the curve tunnel curve according to the following formula 2 ：
Wherein L is the standard automobile body length; w is the width of a standard vehicle body; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is bilateral symmetry lamp arrangement of the curve tunnel curve, the bilateral symmetry lamp arrangement of the curve tunnel curve is determined according to the following formulaSpace S between lamps 3 ：
Wherein R is the curvature radius of the curve tunnel; w is the width of the curved tunnel;
if the lamp arrangement mode is bilateral staggered lamp arrangement of the curve tunnel curve, the lamp arrangement space S of bilateral staggered lamp arrangement of the curve tunnel curve is determined according to the following formula 4 ：
Wherein L is the standard automobile body length; r is the curvature radius of the curve tunnel; w is the width of the curved tunnel; alpha is a staggered lamp arrangement included angle.
3. The optimization method for the middle section lamp arrangement mode of the curved tunnel according to claim 1, characterized in that: in step S3, the tunnel lighting design requirement is: v/S<Z 1 Or v/S>Z 2 (ii) a Wherein v is the tunnel lighting design speed; s is a lamp arrangement distance of a tunnel lamp arrangement mode; z 1 And Z 2 All are the flicker frequencies of the lighting fixtures.
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| CN107220433B (en) * | 2017-05-25 | 2021-02-26 | 华东交通大学 | Method for optimizing lighting symmetrical lamp arrangement parameters of middle section of highway tunnel |
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| CN106951629A (en) * | 2017-03-17 | 2017-07-14 | 华东交通大学 | A kind of vcehicular tunnel interlude vault lateral deviation cloth lamp parameter optimization method based on lamp distribution data |
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| CN112287549A (en) | 2021-01-29 |
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