Pro/E set of various Curve Equations

This article mainly introduces 97 kinds of curve equations commonly used in proe, the coordinate system used, and the legends for generating curves.

The curve types on each page are as follows: Page 1: disc spring, spiral, helical curve, butterfly curve, and Involute; Page 1: spiral, logarithm curve, spherical spiral, dual-arc external axis, and Xingxing line; Page 1: heart line, incircle spiral, sine curve, solar line, and ferma curve (a bit like a threaded line ); Page 1: Talbot curve, 4-leaf curve, fig curve, parabolic curve, and spiral line; Page 1: three-leaf wire, external axis, Lissajous curve, inner rotation line of long and short frames, and inner rotation line of long and short frames; Page 1: tricuspid valve, probability curve, influch, Archimedes screw, and logarithm screw; Page 1: cranberry line, Tan curve, hyperbolic cosine, hyperbolic sine, and hyperbolic tangent; Page 8th: Three-Point Curve of one peak, eight-character curve, spiral curve, circle and closed sphere surround curve; Page 1: column coordinate spiral curve, snake curve, 8-Shape Curve, elliptic curve, and plum blossom curve; Page 1: Flower curve, flower curve with stronger space, elliptical line with spiral rise, spiral flower curve, and drum line; Page 1: long-lived lock curve, spiral rising curve, mushroom curve, and 8-character Curve; Page 1: plum blossom curve, peach curve, disc spring, annular quadratic curve, and butterfly line; Page 13th: sine cycle spring, annular spiral, inner spring, changeable inner spring, and cylindrical sine wave line; Page 1: UFOs (vortex line) handle curve, basket, involute equation of Cylindrical Gear Tooth Profile and logarithmic spiral curve; Page 1: Cover line, sunflower line, sun line, tower-Shaped Spiral Line, And Petal line; Page 16th: Deformation of duanyuan line, Archimedes screw line, involute equation, Pisces curve and bow curve; Page 17th: "Two-Phase look" curve, beebot, curved moon, tropical fish and swallow tail scissors; Page 1: Silk, electrocardiogram, changed Star Line, white rabbit, hello everyone; Page 1: snake-like lines, five rings, spider webs, sub-acoustic waves, and cross-Involute; Page 5: inner five rings and worm rail lines; 1. disc spring Column Coordinate Equation: r = 5 Theta = T * 3600. Z = (sin (3.5 * theta-90) 24 * t Figure 1 2. Linear line. Playing the card Equation: A = 10 X = 3 * a * t/(1 (t ^ 3 )) Y = 3 * a * (t ^ 2)/(1 (t ^ 3 )) Figure 2 3. helical curve) Cylindrical) Equation: r = T Theta = 10 t * (20*360) Z = T * 3 Figure 3 4. Butterfly Curve Spherical Coordinates Equation: FIG = 8 * t Theta = 360 * T * 4 Phi =-360 * T * 8 Figure 4 5. Involute Cartesian coordinate system Equation: r = 1 Ang = 360 * t S = 2 * pI * r * t X0 = S * Cos (ANG) Y0 = S * sin (ANG) X = x0 S * sin (ANG) Y = y0-s * Cos (ANG) Z = 0 Figure 5

6. spiral.
Flute coordinates
Equation: x = 4 x cos (T * (5*360 ))
Y = 4 * sin (T * (5x360 ))
Z = 10 * t

Figure 6

7. logarithm curve
Cartesian coordinate system
Equation: z = 0
X = 10 * t
Y = Log (10 x T 0.0001)

Figure 7

8. Spherical spiral
Using the Spherical Coordinate System
Equation: FIG = 4
Theta = T * 180.
Phi = T * 360*20

Figure 8

9. Dual-arc alignaxis
Qadir coordinates
Equation: L = 2.5
B = 2.5
X = 3 * B * Cos (T * 360) L * Cos (3 * T * 360)
Y = 3 * B * sin (T * 360) L * sin (3 * T * 360)

Figure 9

10. Star Line
Qadir coordinates
Equation: A = 5
X = A * (COS (T * 360) ^ 3
Y = a * (sin (T * 360) ^ 3

Figure 10

11. heartline
Column Coordinate
Equation: A = 10
R = A * (1 cos (theta ))
Theta = T * 360.

Figure 11

12. incircle spiral
Use the column Coordinate System
Equation: Theta = T * 360
R = 10 10 * sin (6 * theta)
Z = 2 * sin (6 * theta)

Figure 12

13. Sine Curve
Cartesian coordinate system
Equation: x = 50 * t
Y = 10 * sin (T * 360)
Z = 0

Figure 13

14. Sun Line (this was originally made of other curves. If the result is wrong, it becomes like this)

Figure 14

15. ferma curve (a bit like a thread)
Mathematical equation: R * r = A * a * Theta
Column Coordinate
Equation 1: Theta = 360 * T * 5
A = 4
R = A * SQRT (theta * 180/PI)
Equation 2: Theta = 360 * T * 5
A = 4
R =-A * SQRT (theta * 180/PI)
Since PRO/E can only perform continuous curves, it can only be done twice

Figure 15

 

16. Talbot Curve
Cardinar coordinates
Equation: Theta = T * 360
A = 1.1
B = 0.666
C = sin (theta)
F = 1
X = (A * A f * C) * Cos (theta)/
Y = (A * A-2 * f * C) * sin (theta)/B

Figure 16

17.4 leaf lines (one equation is done without replication)

Figure 17

18. Fig Curve
Cartesian coordinate system
Equation: Theta = T * 360*4
X = 25 (10-6) * Cos (theta) 10 * Cos (10/6-1) * theta)
Y = 25 (10-6) * sin (theta)-6 * sin (10/6-1) * theta)

Figure 18

19. Parabolic
Flute coordinates
Equation: x = (4 * t)
Y = (3 * t) (5 * t ^ 2)
Z = 0

Figure 19

20. Spiral
Column Coordinate
Equation: r = 5
Theta = T * 1800.
Z = (COS (theta-90) 24 * t

Figure 20

 

21. Three-leaf Cable
Cylindrical Coordinates
Equation: a = 1
Theta = T * 380.
B = sin (theta)
R = A * Cos (theta) * (4 * B * b-1)

Figure 21

 

22. excircle
Dikar coordinates
Equation: Theta = T * 720*5
B = 8
A = 5
X = (a B) * Cos (theta)-B * Cos (A/B 1) * theta)
Y = (a B) * sin (theta)-B * sin (A/B 1) * theta)
Z = 0

Figure 22

23. Lissajous Curve
Theta = T * 360.
A = 1
B = 1
C = 100.
N = 3
X = A * sin (N * Theta C)
Y = B * sin (theta)

Figure 23

24. incircle rotation line
Cardinar coordinates
Equation: A = 5
B = 7
C = 2.2.
Theta = 360 * T * 10
X = (a-B) * Cos (theta) C * Cos (A/b-1) * theta)
Y = (a-B) * sin (theta)-C * sin (A/b-1) * theta)

Figure 24

25. Long and Short Round outer spin wheel line
Cardinar coordinates
Equation: Theta = T * 360*10
A = 5
B = 3
C = 5
X = (a B) * Cos (theta)-C * Cos (A/B 1) * theta)
Y = (a B) * sin (theta)-C * sin (A/B 1) * theta)

Figure 25

 

26. tricuspid valve
A = 10
X = A * (2 * Cos (T * 360) Cos (2 * T * 360 ))
Y = a * (2 * sin (T * 360)-sin (2 * T * 360 ))

Figure 26

27. Probability Curve!
Equation:
Flute coordinates
X = T * 10-5
Y = exp (0-x ^ 2)

Figure 27

28. Tongue
Flute Coordinate System
A = 1
X =-5 T * 10
Y = 8 * a ^ 3/(x ^ 2 4 * a ^ 2)

Figure 28

29. Archimedes Spiral
Column Coordinate
A = 100
Theta = T * 400.
R = A * Theta

Figure 29

30. Log nuts
Column Coordinate
Theta = T * 360*2.2
A = 0.005
R = exp (A * theta)

Figure 30

 

36. Three-Point Curve of one peak
X = 3 * t-1.5
Y = (x ^ 2-1) ^ 3 1

Figure 36

37. Eight-character Curve
X = 2 * Cos (T * (2x180 ))
Y = 2 * sin (T * (5x360 ))
Z = 0

Figure 37

38. spiral curve
R = T * (10*180) 1
Theta = 10 t * (20*180)
Z = T

Figure 38

39. Circle
X = cos (T * (5x180 ))
Y = sin (t x (5*180 ))
Z = 0

Figure 39

40. closed spherical surround Curve
Rock = 2
Theta = 360 * t
Phi = T * 360*10

Figure 40

 

41. Column coordinate spiral curve
X = 100 * T * Cos (T * (5*180 ))
Y = 100 * T * sin (T * (5*180 ))
Z = 0

Figure 41

 

42. snake-like Curve
X = 2 * Cos (T 1) * (2*180 ))
Y = 2 * sin (T * (5x360 ))
Z = T * (T 1)

Figure 42

43.8 Curve
Column Coordinate
Theta = T * 360.
R = 10 (8 * sin (theta) ^ 2

Figure 43

44. Elliptic Curve
Cartesian coordinate system
A = 10
B = 20
Theta = T * 360.
X = A * Cos (theta)
Y = B * sin (theta)

Figure 44

45. Plum Blossom Curve
Column Coordinate
Theta = T * 360.
R = 10 (3 * sin (theta * 2.5) ^ 2

Figure 45

 

46. Another flower Curve
Theta = T * 360.
R = 10-(3 * sin (theta * 3) ^ 2
Z = 4 * sin (theta * 3) ^ 2

Figure 46

47. Change it to a curve with a stronger sense of space ;)
Theta = T * 360.
R = 10-(3 * sin (theta * 3) ^ 2
Z = (R * sin (theta * 3) ^ 2

Figure 47

48. elliptical line with spiral rise
A = 10
B = 20
Theta = T * 360*3
X = A * Cos (theta)
Y = B * sin (theta)
Z = T * 12

Figure 48

49. Even this spiral curve
Theta = T * 360*4
R = 10 (3 * sin (theta * 2.5) ^ 2
Z = T * 16

Figure 49

50 drums

Cartesian Equation

R = 5 3.3 * sin (T * 180) T
Theta = T * 360*10
Z = T * 10

Figure 50