Method for calculating parameters in road design of S-type clothoid, complex clothoid and egg type clothoid
First Claim
1. In a method for designing a road, an improvement comprising calculating parameters A1 and A2 in an S-shaped clothoid with R1, R2, D and being known values and R1 and R2 being radii of two circles and A1 and A2 being clothoid parameters A adapted to R1 and R2, respectively, and D being a shortest distance between circumferential portions of two circles, a method for calculating the S-shaped clothoid parameter comprising:
- a step in which an initial value of a tangential angle τ
1 of the radius R1 is set;
a step in which the tangential angle τ
1 is compared with 0, and when a result of the comparison is less than 0, since it means there is no solution, the process is stopped, and when a result of the same is greater than 0, a value of (R1+D+R2)2−
XM2 is calculated, XM being a function of an unknown value τ
1;
a step in which a value of (R1+D+R2)2−
XM 2 is compared with 0, and when a result of the comparison is less than 0, τ
1 is properly adjusted, and the routine goes back to the next step of setting the initial value of the tangential angle τ
1, and when a result of the same is greater than 0, the function F(τ
1) is calculated and the function F′
(τ
1) which is differentiated with τ
1 from the function F(τ
1) is calculated;
a step in which a ratio is calculated;
a step in which τ
1=τ
1−
G is calculated (τ
1 is reduced by G); and
a step in which an absolute value of G is compared with a tolerance of 10−
6, and as a result of the comparison when the absolute value of G is greater than the tolerance, the routine is fed back to the next step where the initial value of τ
1 is set, and when it is less than the tolerance, the tangential angle τ
1 is determined, and A1, which is a clothoid parameter A adapted to R1, is easily calculated using τ
1, and A2, which is a clothoid parameter A adapted to R2, is also easily calculated using A1 and given value
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Abstract
The present invention relates to a method for calculating parameters in a road design of a S type, a complex type and an egg type clothoid, and in particular to a method for calculating a parameter value capable of determining the size of a clothoid that is inserted when designing a S-shaped and interchange, a connection road, etc. in an egg shape. In the present invention, it is possible to easily calculate the clothoid parameter A in a S shape, complex type and egg type road design, and a road design can be fast finished. In addition, in the present invention, it is possible to achieve an easier design of a S shape and egg type clothoid by determining a design specification without using CAD. The design can be achieved based on a simulation using a center coordinate of two circles for achieving an optimum design.
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Citations
10 Claims
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1. In a method for designing a road, an improvement comprising calculating parameters A1 and A2 in an S-shaped clothoid with R1, R2, D and
being known values and R1 and R2 being radii of two circles and A1 and A2 being clothoid parameters A adapted to R1 and R2, respectively, and D being a shortest distance between circumferential portions of two circles, a method for calculating the S-shaped clothoid parameter comprising: -
a step in which an initial value of a tangential angle τ
1 of the radius R1 is set;a step in which the tangential angle τ
1 is compared with 0, and when a result of the comparison is less than 0, since it means there is no solution, the process is stopped, and when a result of the same is greater than 0, a value of (R1+D+R2)2−
XM2 is calculated, XM being a function of an unknown value τ
1;a step in which a value of (R1+D+R2)2−
XM 2 is compared with 0, and when a result of the comparison is less than 0, τ
1 is properly adjusted, and the routine goes back to the next step of setting the initial value of the tangential angle τ
1, and when a result of the same is greater than 0, the function F(τ
1) is calculated and the function F′
(τ
1) which is differentiated with τ
1 from the function F(τ
1) is calculated;a step in which a ratio is calculated; a step in which τ
1=τ
1−
G is calculated (τ
1 is reduced by G); anda step in which an absolute value of G is compared with a tolerance of 10−
6, and as a result of the comparison when the absolute value of G is greater than the tolerance, the routine is fed back to the next step where the initial value of τ
1 is set, and when it is less than the tolerance, the tangential angle τ
1 is determined, and A1, which is a clothoid parameter A adapted to R1, is easily calculated using τ
1, and A2, which is a clothoid parameter A adapted to R2, is also easily calculated using A1 and given value- View Dependent Claims (2, 3, 4, 5)
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6. In a method for designing a road, an improvement comprising calculating A in an Egg-shaped clothoid with R1, R2, D being known values and R1 being a radius of a larger circle and R2 being a radius of a smaller circle and D being a shortest distance between circumferential portions of the two circles, a method for calculating an egg-shaped clothoid parameter, comprising:
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a step in which an initial value of a tangential angle τ
1 of the radius R1 is set;a step in which the tangential angle τ
1 is compared with 0, and when a result of the comparison is less than 0, since it means there is no solution, the process is stopped, and when a result of the same is greater than 0, a value of (R1−
R2−
D)2−
XM2 is calculated, XM2 being a function of an unknown value τ
1;a step in which the value of (R1−
R2−
D)2−
XM2 is compared with 0, and when a result of the comparison is less than 0, τ
1 is properly adjusted, and the routine goes back to the next step of setting the initial value of the tangential angle τ
1, and when a result of the same is greater than 0, the function F(τ
1) is calculated and the function F′
(τ
1) which is differentiated with τ
1 from the function F(τ
1) is calculated;a step in which a ratio is calculated; a step in which τ
1=τ
1−
G is calculated (τ
1 is reduced by G); anda step in which an absolute value of G is compared with a tolerance of 10−
6, and as a result of the comparison when the absolute value of G is greater than the tolerance, the routine is fed back to the next step where the initial value of τ
1 is set, and when it is less than the tolerance, the tangential angle τ
1 is determined, and the value of parameter A is easily calculated using the tangential angle τ
1.- View Dependent Claims (7, 8, 9, 10)
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Specification