CN112417557A - Method for calculating Yunba island type station end bell mouth and related parameters thereof - Google Patents
Method for calculating Yunba island type station end bell mouth and related parameters thereof Download PDFInfo
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Abstract
The invention discloses a method for calculating a protection Yunbai station end bell mouth and related parameters thereof, which is used for obtaining the shortest station end bell mouth length under the conditions of ensuring the comfort of passengers, meeting the requirements of no speed limit or slight influence (the influence degree is less than 5%) of a train and the requirements of a circular curve and a clamping straight line length not less than 1 vehicle length (not less than the full wheel base of the vehicle under the difficult condition). The specific parameters of the bell mouth are set as the following parameters of a first curve: the radius R is 400m, the length l of the relaxation curve is 10m, the actual ultrahigh rate h is 2%, the rotation angle theta is 2 degrees and 52 '00', and the allowable speed V is 45 km/h; the parameters of the second curve of the bell mouth are set as follows: the radius R is 500m, the relaxation curve length l is 16m, the actual super-high rate h is 2.5%, the rotation angle θ is 2 ° 52' 00 ", and the allowable speed V is 60 km/h. Compared with the prior art, the invention has the beneficial effects that: the purposes of reducing the engineering investment and improving the landscape effect are achieved.
Description
Technical Field
The invention relates to the field of urban rail transit line design, in particular to a cloud island type station end bell mouth and a calculation method of relevant parameters thereof.
Background
The Yunba (rubber-tyred tramcar) system is a small-traffic urban rail transit, is suitable for lines with peak passenger flow of 0.2-1 ten thousand people/hour, and generally adopts an overhead laying mode. The length of the train is 7m (the head train is 8.3m), the marshalling mode is generally 2-6 marshalling, and the common starting acceleration is 1m/s2. According to check calculation, the island-type stations adopt 5m wide platforms to meet the passenger flow collecting and distributing capacity of a common station, and by taking Shenzhen plateau mountain Yunba 1 line first-stage engineering and Shenzhen dragon Ban Yunba 1 line engineering as examples, all stations adopt the island-type stations with platform widths of 5m, and the inter-line spacing of the stations is 7.6 m. The line spacing of the general section of the interval is 3.2 m.
In the prior art, the design of a horn mouth at an island-type station end of a cloudbar is generally implemented by referring to design specifications (DBJ/T15-172-2019) of a rubber-tyred tramcar transportation system, and conventional schemes are divided into the following two types:
the first technical scheme is as follows: the scheme design taking the highest running speed of the vehicle as the speed limit value of the bell mouth is as follows:
the left line and the right line of the bell mouth are symmetrically arranged, and the first curve is set according to the following parameters: the radius R is 1500m, the length l of the relaxation curve is 28m, the actual ultrahigh rate h is 3%, the rotation angle theta is 1 DEG 36 '16.3', and the allowable speed V is 80 km/h; the second curve of the bell mouth is set according to the following parameters: the radius R is 1500m, the relaxation curve length l is 28m, the actual super-high rate h is 3%, the rotation angle θ is 1 ° 36' 16.3 ", and the allowable speed V is 80 km/h. The disadvantage of this solution is that the bell-mouth length (from the beginning of the first curve to the end of the second curve) reaches 148.585m, the engineering investment is large and the landscape is poor.
The second prior art scheme is: the design is designed according to the scheme of meeting the requirement of the shortest length of the curve:
the left line and the right line of the bell mouth are symmetrically arranged, and the first curve is set according to the following parameters: the radius R is 150m, the length l of the relaxation curve is 6m, the actual ultrahigh rate h is 3%, the rotation angle theta is 4 degrees and 54 '00', and the allowable speed V is 25 km/h; the second curve of the bell mouth is set according to the following parameters: the radius R is 150m, the relaxation curve length l is 6m, the actual super-high rate h is 3%, the rotation angle θ is 4 ° 54' 00 ", and the allowable speed V is 25 km/h. The disadvantages of this solution are: the bell-mouth passing speed is low, and the traveling speed of the line is reduced.
In the prior art, the first technical scheme and the second technical scheme do not combine passenger comfort level, train running speed and the like to calculate various curve parameters in detail, so that the problems of long bell mouth or vehicle speed limit exist. Therefore, a better technical solution is needed to solve the above problems.
Disclosure of Invention
The invention aims to solve the technical problem of providing a Yumba island type station end bell mouth aiming at the defects of the prior art. Ensuring passenger comfort (taking unbalanced centrifugal acceleration as a ═ 0.5 m/s)2The rolling angle time-varying rate and the unbalanced centrifugal acceleration time-varying rate are defined in the specification GB50090-2006, the rolling angle time-varying rate f is 0.0267rad/s, and the unbalanced centrifugal acceleration time-varying rate b is 0.35m/s3) Satisfy the condition that the train does not limit the speed or has slight influence (degree of influence)<5 percent), the length of the circular curve and the clamping line is not less than 1 vehicle length (not less than the full wheel base of the vehicle under the difficult condition), the length of the horn mouth at the station end is shortened as much as possible, so that the purposes of saving engineering investment and optimizing landscape design are achieved.
The technical scheme is as follows: the technical scheme includes that an island-type station end bell mouth is formed in a Yunba manner, the left line and the right line of the bell mouth are symmetrically arranged, and a first curve (composed of a circular curve and a relaxation curve) of the bell mouth is set as follows: the radius R is 400m, the length l of the relaxation curve is 10m, the actual ultrahigh rate h is 2%, the rotation angle theta is 2 degrees and 52 '00', and the allowable speed V is 45 km/h; the parameters of the second curve (consisting of a circular curve and a moderate curve) of the bell mouth are set as follows: the radius R is 500m, the relaxation curve length l is 16m, the actual super-high rate h is 2.5%, the rotation angle θ is 2 ° 52' 00 ", and the allowable speed V is 60 km/h.
Furthermore, the parameter setting of the horn mouth is the shortest length obtained under the conditions that the comfort level of passengers is guaranteed, the condition that the speed of a train is not limited or the influence degree is less than 5%, and the lengths of a circular curve and a clamping line are not less than 1 vehicle length is met.
The invention also comprises a calculation method of the relevant parameters of the horn mouth of the cloud island type station end, which comprises the following steps:
(1) selection of flare curve speed: firstly, calculating a corresponding relation table of V and L according to a calculation formula of the distance L between the tail end of the inherent vehicle and the effective station end and the speed V, and selecting the speed limit value of a first curve of a bell mouth as 45km/h and the speed limit value of a second curve as 60 km/h;
(2) selecting curve parameters: according to the selected speed limit value of the first curve and the second curve of the bell mouth, combining
And
and calculating to obtain the length of a relaxation curve and the radius of the curve corresponding to the speed limit value of the first curve and the second curve, and drawing, wherein the horn mouth related parameters are obtained according to the condition that the length of the horn mouth is close to the minimum value when the lengths of the two straight lines and the circular curve of the first curve and the second curve are both close to the length of a train.
Compared with the prior art, the invention has the beneficial effects that: the design of the shortest horn mouth length (69.086 m is reduced compared with the first technical scheme) under the condition that the comfort level of the passengers reaches the standard and the speed is not limited or the influence is slight (the influence degree is less than 5%) is realized, and the purposes of reducing the engineering investment and improving the landscape effect are further achieved.
Drawings
Fig. 1 is a schematic plan view of the cloudband-island station-end bell mouth structure of the present invention.
Detailed Description
The invention is further described with reference to the following drawings and detailed description.
As shown in figure 1, the invention protects the Yunbai type station end bell mouth, and guarantees the comfort of passengers (the unbalanced centrifugal acceleration is 0.5 m/s-02The rolling angle time-varying rate and the unbalanced centrifugal acceleration time-varying rate are defined in the specification GB50090-2006, the rolling angle time-varying rate f is 0.0267rad/s, and the unbalanced centrifugal acceleration time-varying rate is not balancedAcceleration time rate b is 0.35m/s3) Satisfy the condition that the train does not limit the speed or has slight influence (degree of influence)<5 percent), the length of the circular curve and the clamping line is not less than 1 vehicle length (not less than the full wheelbase of the vehicle under the difficult condition). The specific parameters of the bell mouth are set as the following parameters of a first curve: radius R400 m, relaxation curve length l 10m, real super-high rate h 2%, turning angle θ 2 ° 52' 00 ", allowing speed V45 km/h (speed rounded at 5km/h, less than 5km/h at 5 km/h); the parameters of the second curve of the bell mouth are set as follows: the radius R is 500m, the relaxation curve length l is 16m, the actual super-high rate h is 2.5%, the rotation angle θ is 2 ° 52' 00 ", and the allowable speed V is 60 km/h.
The calculation method of the above bell mouth related parameters is described in detail with reference to embodiment 1:
example 1
(1) Selection of speed of bell curve (4 groups as example calculation)
The Yunba 4 consist vehicle has a length of 33.6m and, according to conventional design, the bell mouth does not intrude into the range of parking positions. The usual acceleration and deceleration of Yunba is +/-1 m/s2According to the relation between the speed and the displacement, the distance traveled by the vehicle when the vehicle accelerates from a static state to 80km/h is about 247m, and is greater than the bell-mouth length under the speed-unrestricted condition (i.e., 2 × 28m is 56m) + one train length (33.6m), so that the running state of the vehicle in the bell-mouth range is a uniform acceleration state. According to the design code of rubber-tyred tram traffic system (DBJ/T15-172) 2019), the distance L between the tail end of a vehicle and the effective station end and the speed V have the following relations:
the calculation results according to equation (1) have the following correspondence table:
TABLE 1V and L correspondence Table
| L(m) | 10 | 20 | 30 | 40 | 50 | 60 | 80 | 100 | 120 | 150 |
| V(km/h) | 33.6 | 37.3 | 40.6 | 43.7 | 46.6 | 49.3 | 54.3 | 58.83 | 63.1 | 69.0 |
Since the curve length is determined to be longer as the curve radius is larger and the easement curve is longer under the condition that the turning angle is the same,the greater the upper velocity through the curve; when the length of the circular curve is close to the length of a train, under the condition of a constant speed, the length of the curve determined under the curve parameter combination is close to the minimum value, so that the length of the first curve is certainly smaller than that of the second curve. Assuming that the total curve length of the first curve is between 30 and 50m (when the linear requirement under the general condition is met, the length of the gentle curve and the circular curve are not less than one vehicle length, so that the total curve length is not less than 3 times of the vehicle length, the vehicle length is 8.3m, and can be counted according to 10m, 30m is taken, combining the prior art scheme 1 (non-speed-limiting mode), the length of the first curve is about 70m, and the speed of driving out the first curve according to the train meets the requirement of the first curve
In combination with Table 2, when the circular curve is controlled to be the length of a train, V is satisfied<The relaxation curve of 52km/h can be within 20m, so the total length of the curve is not more than 2 x 20+10 to 50m), and the speed limit value corresponding to the curve can be 45km/h according to the table 1. The length of the clamping line is about 8-9 m of the length of a train. Assuming that the length of the second curve is 40-60 m (when the linear requirement under the general condition is satisfied, the length of the gentle curve and the circular curve are not less than one train length, so the total length of the curve is not less than 3 times of the train length, the train length is 8.3m, and can be counted as 10m, 30m is taken out, and the speed of the train driving out of the second curve satisfies the requirement that the train drives out of the second curve
With reference to table 2, when the length of the easement curve is less than 15m, the radius R needs to be more than 800m, and when the circular curve is long, the corner θ of the bell mouth is small, which cannot meet the requirement of small bell mouth length, so the minimum value of the easement curve is not less than 15m, and the determined curve length is not less than 40 m. By combining the prior art scheme 1 (non-speed-limiting mode), the length of the second curve is about 70m, and the speed of the train driving out of the second curve is calculated to meet the requirement
With reference to table 2, when the circular curve is controlled to be a train length, the curve length can be controlled within 25m, so the upper limit of the curve length is not more than 60 m. ) By the maximum speed value of the vehicle through the curveThe speed limit value of the second curve is taken as 60km/h for calculation because the speed limit value is not higher than 63.1 km/h.
2. Selection of curve parameters
The determination of the length of the easement curve is influenced by a number of factors, the most important being the assurance of safe, smooth and comfortable conditions for the passengers. The Yunba wheel rail system is from taking anti-overturning device, according to the test result that the Yunba producer provided, under the worst condition (flat tire), the Yunba vehicle is also unlikely to overturn or derail. Therefore, the length of the relaxation curve of the Yunba system does not need to consider the driving safety, namely the ultrahigh down-slope rate can be not considered, and only the comfort level of passengers is considered. So that the gentle curve length LSCan be calculated as follows:
LS-mitigating the curve length;
v-design speed (km/h);
h-curve real super high rate (%);
hq-underrun (%);
f' -rolling angle rate of change (rad/s), take 0.0267;
b' -unbalanced centrifugal acceleration time rate (m/s)3) Taking 0.35;
g-acceleration of gravity (m/s)2) Approximately 10 is taken.
As can be seen from the formula (2), the length of the relaxation curve is closely related to the actual super high rate. The calculation of the ultra high rate is shown as follows:
the meaning of each symbol is the same as above. R-radius of curve; g-acceleration of gravity.
In railway design, unbalanced superelevation causes unbalance loading of the inner and outer rails, resulting in uneven wear of the inner and outer rails and affecting passenger comfort. Railway engineering records that the Yunba track structure is obviously different from steel wheel steel rails, and the overload generated cannot generate great adverse effect on the wheel rail structure even if unbalanced superelevation of a certain size exists. Therefore, when the curve length is limited, the actual ultrahigh rate is reduced properly on the premise of meeting the comfort standard, so as to achieve the purpose of improving the passing speed.
The combination of formula (2) and (3) can be obtained
The resulting relaxation curve is the shortest length. The relaxation curves at 45km/h and 60km/h are shown in the following table according to the relation:
TABLE 2 relaxation Curve selection Table
The specific calculation method comprises the following steps: taking R-450m and a speed value V-60km/h as an example:
by
Can obtain the product
Get h out of solutionq＝3.6％<5 percent, meets the requirement, and h is 2.7 percent<8 percent, meets the requirement, and is convenient for manufacturing the track beam, the superelevation less than 0.5 percent is selected according to 0.5 percent, so the h is taken to be 3 percent. Substituted by formula (2)
Less than 2m is rounded up by 2m to obtain Ls which is 20 m. Other sets of data are available with reference to the sub-case.
Drawing is carried out by combining the table 2 (combining the table 2, each curve parameter combination in the table is tested and plotted (the plotting tool is an auxiliary design CAD system of Beijing KeBaohua-subway horizontal and vertical integration), when the parameters of a first curve are R-400 and Ls-10m, the parameters of a second curve are R-500 and Ls-16m, and theta is positioned near 2 degrees 52 '00', the length of a clamping line and the length of a circular curve of the two curves are both close to the length of a train, so that the length of a horn mouth of the combination is close to the minimum value), the design of the horn mouth can be obtained as follows: the left line and the right line of the bell mouth are symmetrically arranged, and the first curve is set according to the following parameters: the radius R is 400m, the length l of the relaxation curve is 10m, the actual ultrahigh rate h is 2%, the rotation angle theta is 2 degrees and 52 '00', and the allowable speed V is 45 km/h; the second curve of the bell mouth is set according to the following parameters: the radius R is 500m, the relaxation curve length l is 16m, the actual super-high rate h is 2.5%, the rotation angle θ is 2 ° 52' 00 ", and the allowable speed V is 60 km/h.
Under the above design parameters, the comfort level index is calculated as follows: the first curve: unbalanced centrifugal acceleration a is 0.2m/s2The rolling angle time-varying rate f is 0.025rad/s, and the unbalanced centrifugal acceleration rate b is 0.25m/s3. The second curve: unbalanced centrifugal acceleration a is 0.32m/s2The rolling angle time-changing rate f is 0.026rad/s, and the unbalanced centrifugal acceleration changing rate b is 0.33m/s3. The comfort level indexes all meet the requirement values of the rate and the comfort level.
The present invention has been described in detail with reference to the above examples, but the description is only for the preferred examples of the present invention and should not be construed as limiting the scope of the present invention. All equivalent changes and modifications made within the scope of the present invention shall fall within the scope of the present invention.
Claims (3)
1. Yunba island formula station end horn mouth, its characterized in that, the left and right sides line symmetric arrangement of horn mouth, the first curve parameter of horn mouth sets up to: the radius R is 400m, the length l of the relaxation curve is 10m, the actual ultrahigh rate h is 2%, the rotation angle theta is 2 degrees and 52 '00', and the allowable speed V is 45 km/h; the parameters of the second curve of the bell mouth are set as follows: the radius R is 500m, the relaxation curve length l is 16m, the actual super-high rate h is 2.5%, the rotation angle θ is 2 ° 52' 00 ", and the allowable speed V is 60 km/h.
2. The Yunbai station end bell mouth of claim 1, wherein the parameter setting of the bell mouth is the shortest length obtained under the conditions of ensuring passenger comfort, meeting the condition that the train does not limit speed or the influence degree is less than 5%, and the length of a circular curve and a clamping line is not less than 1 train length.
3. The method for calculating the relevant parameters of the horn mouths at the ends of the Yunba island type station is characterized by comprising the following steps of:
(1) selection of flare curve speed: firstly, calculating a corresponding relation table of V and L according to a calculation formula of the distance L between the tail end of the inherent vehicle and the effective station end and the speed V, and selecting the speed limit value of a first curve of a bell mouth as 45km/h and the speed limit value of a second curve as 60 km/h;
(2) selecting curve parameters: according to the selected speed limit value of the first curve and the second curve of the bell mouth, combining
And
and calculating to obtain the length of a relaxation curve and the radius of the curve corresponding to the speed limit value of the first curve and the second curve, and drawing, wherein the horn mouth related parameters are obtained according to the condition that the length of the horn mouth is close to the minimum value when the lengths of the two straight lines and the circular curve of the first curve and the second curve are both close to the length of a train.
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