Profiles for bicycle components
A bicycle includes a frame having cross sectional profiles. The profiles are designed according to certain criteria to enhance bicycle performance. The profiles for multiple frame members may each fall within a range for each of aspect ratio, circumference, drag coefficient, first moment of inertia and/or second moment of inertia.
1. A frame for a bicycle, the frame comprising:
an elongated first member with a first cross-section, the first cross-section taken along a first horizontal plane and extending longitudinally along an X axis and laterally along a Y axis perpendicular to the X axis, the first horizontal plane containing the X and Y axes, wherein the bicycle is configured to travel forward in a direction that aligns with the X axis, the first cross-section being scaled proportionally to have a maximum lateral width of 20 millimeters (mm) and having an aspect ratio (AR) defined as a ratio of the maximum lateral width to a maximum longitudinal length of the first cross-section, a circumference within +/−10% of U where U=37.234×AR+29.67 mm, a drag coefficient within +/−15% of Cd where Cd=1.0627×AR −1.087 , and an area moment of inertia about the X axis within +/−20% of Ixx where Ixx=2472.8×AR+1541.6 mm 4 .
2. The frame of claim 1 , wherein the aspect ratio is between 1.1 and 5.
3. The frame of claim 1 , wherein the circumference is within +/−5% of U.
4. The frame of claim 1 , wherein the drag coefficient is within +/−6% of Cd.
5. The frame of claim 1 , wherein the area moment of inertia about the X axis is within +/−7% of Ixx.
6. The frame of claim 1 , wherein an area moment of inertia about the Y axis is within +/−20% of Iyy, where Iyy=(3501.1×AR+2.552) mm 4 .
7. The frame of claim 1 , wherein the drag coefficient is calculated based on an air flow having a speed relative to the frame from about 5 miles per hour to 50 miles per hour and having a Reynolds number from 5,000 to about 100,000.
8. The frame of claim 1 , wherein the elongated first member comprises a down tube, a fork, a seat stay, or a seat tube.
9. The frame of claim 1 , the first cross-section being scaled proportionally to have a wall thickness of 1.25 mm.
10. A frame for a bicycle, the frame comprising:
an elongated first member with a first cross-section, the first cross-section taken along a first horizontal plane and extending longitudinally along an X axis and laterally along a Y axis perpendicular to the X axis, the first horizontal plane containing the X and Y axes, wherein the bicycle is configured to travel forward in a direction that aligns with the X axis, the first member having a drag coefficient no greater than 0.7, wherein the drag coefficient is calculated based on an air flow having a speed relative to the frame from 5 miles per hour to 50 miles per hour and having a Reynolds number from 5,000 to 100,000.
11. The frame of claim 10 , wherein the drag coefficient is no greater than 0.5.
12. The frame of claim 10 , wherein the drag coefficient is no greater than 0.35.
13. The frame of claim 10 , wherein the drag coefficient is no greater than 0.25.
14. The frame of claim 10 , the first cross-section being scaled proportionally to have a maximum lateral width of 20 millimeters (mm) and having an aspect ratio (AR) defined as a ratio of the maximum lateral width to a maximum longitudinal length of the first cross-section, and a circumference within +/−10% of U where U=37.234×AR+29.67 mm.
15. The frame of claim 10 , the first cross-section being scaled proportionally to have a maximum lateral width of 20 millimeters (mm) and having an aspect ratio AR defined as a ratio of the maximum lateral width to a maximum longitudinal length of the first cross-section, and an area moment of inertia about the X axis within +/−20% of Ixx where Ixx=2472.8×AR+1541.6 mm 4 .
16. The frame of claim 10 , the first cross-section being scaled proportionally to have a wall thickness of 1.25 mm.
17. A frame for a bicycle, the frame comprising:
a frame having an elongated first member with a first cross-section, the first cross-section taken along a first horizontal plane and extending longitudinally along an X axis and laterally along a Y axis perpendicular to the X axis, the first horizontal plane containing the X and Y axes, wherein the bicycle is configured to travel forward in a direction that aligns with the X axis, the first cross-section being scaled proportionally to have a maximum lateral width of 20 millimeters having a profile substantially in accordance with Cartesian coordinate values of X and Y set forth in any one of Tables 6A-6G below for data points N=2 through N=7:
TABLE 6A
FreeFoil 155
Actual [mm]
Normalized [-]
N
x
y
x
y
Mirror y
1
0
0
0
0
0
2
3.54
7.63
0.111007
0.763764
−0.76376
3
7.09
9.1
0.222327
0.910911
−0.91091
4
11.63
9.68
0.364691
0.968969
−0.96897
5
14.17
9.94
0.44434
0.994995
−0.99499
6
17.72
9.99
0.55566
1
−1
7
21.26
9.88
0.666667
0.988989
−0.98899
8
24.8
9.57
0.777673
0.957958
−0.95796
9
28.35
8.96
0.888993
0.896897
−0.8969
10*
31.89
0
1
0
0
TABLE 6B
FreeFoil 195
Actual [mm]
Normalized [-]
N
x
y
x
y
Mirror y
1
0
0
0
0
0
2
4.38
6.27
0.111055
0.637195
−0.6372
3
8.76
8.08
0.22211
0.821138
−0.82114
4
13.15
9.08
0.333418
0.922764
−0.92276
5
17.53
9.63
0.444473
0.978659
−0.97866
6
21.91
9.84
0.555527
1
−1
7
26.29
9.75
0.666582
0.990854
−0.99085
8
30.67
9.35
0.777637
0.950203
−0.9502
9
35.06
8.64
0.888945
0.878049
−0.8780S
10*
39.44
0
1
0
0
TABLE 6C
FreeFoil 283
Actual [mm]
Normalized [−]
N
x
y
x
y
Mirror y
1
0
0
0
0
0
2
6.46
7.13
0.111226
0.712288
−0.71229
3
12.91
9.09
0.22228
0.908092
−0.90809
4
19.36
9.9
0.333333
0.989011
−0.98901
5
25.82
10.01
0.444559
1
−1
6
32.27
9.72
0.555613
0.971029
−0.97103
7
38.72
9.27
0.666667
0.926074
−0.92607
8
45.18
8.77
0.777893
0.876124
−0.87612
9
51.63
8.2
0.888946
0.819181
−0.81918
10
58.08
0
1
0
0
TABLE 6D
FreeFoil 300
Actual [mm]
Normalized [−]
N
x
y
x
y
Mirror y
1
0
0
0
0
0
2
6.74
7.27
0.111129
0.735086
−0.73509
3
13.47
9.09
0.222094
0.91911
−0.91911
4
20.21
9.81
0.333223
0.991911
−0.99191
5
26.95
9.89
0.444353
1
−1
6
33.69
9.54
0.555482
0.964611
−0.96461
7
40.43
9.06
0.666612
0.916077
−0.91608
8
47.17
8.52
0.777741
0.861476
−0.86148
9
53.91
7.89
0.888871
0.797776
−0.79778
10*
60.65
0
1
0
0
TABLE 6E
FreeFoil 343
Actual [mm]
Normalized [−]
N
x
y
x
y
Mirror y
1
0
0
0
0
0
2
7.69
6.81
0.111079
0.690669
−0.69067
3
15.38
8.75
0.222158
0.887424
−0.88742
4
23.08
9.68
0.333381
0.981744
−0.98174
5
30.77
9.86
0.44446
1
−1
6
38.46
9.43
0.55554
0.956389
−0.95639
7
46.15
8.78
0.666619
0.890467
−0.89047
8
53.85
8.14
0.777842
0.825558
−0.82556
9
61.54
7.41
0.888921
0.751521
−0.75152
10*
69.23
0
1
0
0
TABLE 6F
FreeFoil 400
Actual [mm]
Normalized [−]
N
x
y
x
y
Mirror y
1
0
0
0
0
0
2
8.96
8.98
0.110987
0.898
−0.898
3
17.93
10
0.222098
1
−1
4
26.9
9.91
0.333209
0.991
−0.991
5
35.87
9.46
0.444321
0.946
−0.946
6
44.84
8.97
0.555432
0.897
−0.897
7
53.82
8.37
0.666667
0.837
−0.837
8
62.79
7.68
0.777778
0.768
−0.768
9
71.76
7.02
0.888889
0.702
−0.702
10*
80.73
0
1
0
0
TABLE 6G
FreeFoil 500
Actual [mm]
Normalized [−]
N
x
y
x
y
Mirror y
1
0
0
0
0
0
2
11.37
7.73
0.111079
0.778449
−0.77845
3
22.75
9.38
0.222255
0.944612
−0.94461
4
34.12
9.93
0.333333
1
−1
5
45.49
9.75
0.444412
0.981873
−0.98187
6
56.87
9
0.555588
0.906344
−0.90634
7
68.24
8.29
0.666667
0.834844
−0.83484
8
79.61
7.67
0.777745
0.772407
−0.77241
9
90.99
6.9
0.888921
0.694864
0.69486
10*
102.36
0
1
0
0.
18. The frame of claim 17 , the profile substantially in accordance with Cartesian coordinate values of X and Y set forth in any one of the Tables 6A-6G respectively for data points N=2 through N=8.
19. The frame of claim 17 , the profile substantially in accordance with Cartesian coordinate values of X and Y set forth in any one of the Tables 6A-6G for data points N=2 through N=9.
20. The frame of claim 17 , the profile substantially in accordance with Cartesian coordinate values of X and Y set forth in any one of the Tables 6A-6G for data points N=1 through N=10.