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Napa Oy 1 Napa Ltd 2006

Hnh hc

v nh ngha ng cong

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Ni Dung

H thng hnh hc NAPA nh ngha ng cong

im v gc

Nhng ng dng khc ca ng cong im giao phc tp side conditions

Nhng hu dng

ng cong vi d v bi tp c th

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H THNG HNH HC NAPA

im v gc

ng cong

B mt

Khi

S chnh hp

oa

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H trc to

Mc nh: righthanded C th thay i trongchnh chiu

Z

Y

X

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nh ngha ng cong ng cong c N trongDEF taskci

m c th nhp ngay tcp cng vic

DRDEFSM

GM

TASK

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nh ngha ng cong

Dng ng congc xc nh trong h to chnh(xy, yz, xz) v c phng ln v tr b mt cho

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V d v ng cong

CUR EXAMPLE Example curveZ 0

XY (0 0) (4 1) (8 4)

x

y

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V tr b mt

V tr b mt c th l: Mt phng ch yu

Example:

X 15

A general planeExample:THR (0 0 6) (0 8 12) (-2 0 12)

Mt congExample:XZ (8 0) (9 4.8) (11 8)

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V d

CUR C1 Plane location surfaceX -2YZ (2 4) (5 5) (6.6 4) (8 5)

CUR C2 Curved location surfaceXY (3 2) (5 5) (9 8)YZ (2 4) (5 5) (6.6 4) (8 5)

X

Y

Z

-X

PRO X

PRO Y

PRO Z

C1,C2

C1

C1 C2

C2

Z

Y

X

Y

Z

X

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Xc nh ng cong bng cc im

Dng ng cong c xc nh bng ccim

Cc im c th c nh trc

Ngay lp tc vi to (X, Y)or(X, Z)or(Y, Z)

Bng vic phng ln ng cong khc Bng vic s dung cc im mc tiu

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V d

CUR EXAMPLE Comment textX 0YZ (1 2) CUR1 (4 6) CUR2 CUR3 P1

Point object P1

cur1cur2

cur3

X

Y

Z

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Phn loi cc im ca ng cong

Mc dnh: Cc im c phn loi theoto the ascending values of the coordinategiven by the first symbol in the shapedefinition e.g. XY or YX and secondly by

the given order

Exception: Option * cancels the defaultsorting - points are set in the given order

NOTE! Coordinates are always input inthe order (x y) (y z) (x z) or (x y z)

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Sorting of Curve Points: Example

CUR EXAMPLE2Z 0XY* (2 2) (3 4) (4.5 3) (3.5 1)

CUR EXAMPLE1Z 0XY (2 2) (3 4) (4.5 3) (3.5 1)

(2 2) (3 4) (3.5 1) (4.5 3) as sorted by NAPA

CUR EXAMPLE3Z 0YX(2 2) (3 4) (4.5 3) (3.5 1)

(3.5 1) (2 2) (4.5 3) (3 4) as sorted by NAPA

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Curve Angles Syntax

YZ A /60 0/ B /60 C

Frompoint A with angle 60 degreesTopoint B with angle of 0 degreesFrompoint B with angle 60 degrees

A

B

C

Without the 60 degree out angle

Z

Y

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Free Angle

A free angle at a point means that thecurve behaves as at endpoint The symbol of the free angle is the

minus sign -

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Free Angle

The most simple way to create a knuckle is toadd a free angle on both sides of a point:

-/ A /-

The most simple way to create a straight linebetween two points is to add free anglesbetween them:

A /- -/ B

The syntax or >< before the curvecoordinates specifies that ALL angles are freeangles

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Free Angle: Example

A B -/ C D A B C /- D A B -/ C /- DA B C D

C CC

C

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Curve Examples

Definition syntax Sorting of points Effect of angles

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Example 1

CUR EXA1

Z 0XY (15 55) (55 15)

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Example 4

CUR EXA4

Z 0XY (15 55) /-45 (30 25) (55 15)

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Example 5

CUR EXA5

Z 0XY (15 55) (30 25) /- (55 15)

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Example 6

CUR EXA6

Z 0XY (15 55) -/ (30 25) /- (55 15)

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Example 7

CUR EXA7

Z 0XY (15 55) -/ (20 30) (30 20) /- (55 15)

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Example 8

CUR EXA8

Z 0XY (15 55) (20 30) (30 20) (55 15)

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Example 9

CUR EXA9Z 0XY * (10 35) (35 60) (60 35) (35 10) (10 35)

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Example 10

CUR EXA10

Z 0XY * (10 35) /90 (35 60) /0 (60 35) /-90,

(35 10) /180 90/ (10 35)

This is NOT a circle!

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Example 11CUR EXA11

Z 0XY (15 55) (30 20) /- (55 15)

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Example 12CUR EXA11

Z 0YX (15 55) (30 20) /- (55 15)

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Multiple Intersection Points

If the intersection between the locationsurface and a referenced curve givesmore than one intersection point, the

following syntaxes can be used tochoose the point:

STEM/Z=5 intersection where z = 5m

STEM/Z>5 intersection where z > 5mSTEM/Z

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Multiple Intersection Points: Example

CUR FRF5; X 82.5ZY STEM/Z

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Side Conditions

Side conditions (SC) on a curve affect thebehavior of the surface near the curve,e.g. they are angle conditions for the

surface along the curve

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Side Conditions

Example side conditions:

SC P limit curve for a flat area (plane)

SC M main frame (all other curvesmust beinside i.e. defines themaximum of Y )

SC -//- knuckle (free angle in and out)

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Side Condition: Examples

CUR KNF Knuckle Curve FwdXZ (68 7.1) (85 8.5)XY FSF -30/ (81 3.1) -90/ STEMSC -//-

CUR FSF Flat of SideY 6.5XZ (62 2.2) /0 (65 2.2) 65/ (72 11.5)SC P

CUR FBF Flat of BottomZ 0XY FRF/PFRF1 /0 PFBF (80 0)SC P

CUR FRF Main Frame FwdX 62YZ (0 0) -/ PFRF1 PFRF2,/- (6.5 11.5)SC M

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Curve/curve

A curve/curve definition is used to:1. Refer to an intersection point

2. Specify the tangent of a surface

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Curve/curve: Example 1

CUR WLF2Z TF4/STEMXY FSF (75.5 4.2) TF4/STEM

STEM

TF4

WLF2

Z location~TF4/STEM

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Curve/curve: Example 1 (contd)

STEMTF4

WLF2

The tangent of the surface atthe intersection point is

defined by curves STEM andTF4. This affects the entranceangle of WLF2. WLF2 has noeffect on the tangent plane.

WLF2

TF4STEM

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Curve/curve: Examples

CUR TA2XY TRANS/Y=1.3 /0 FRA5/WLA2XZ TRANS FRA1 FRA2 FRA5/WLA2

CUR TA1XZ FRA3/Z=1.7 FRA5/WLA2XY FRA3 FRA4 FRA5/WLA2

CUR TF5ZX FRF3/WLF2(81 4.9) STEM/TF4ZY FRF3/WLF2FRF4 STEM

CUR TF1ZY STEM/WLF1 WLF2/FRF3XZWLF2/FRF3FRF4 FRF5 FRF6,

STEM/WLF1

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Point Object Definition

There are four main ways to define pointobjects:

POINT P2 P1(Y+1 Z+0.5)POINT P2 P1(Y+0.5 Z+1.5)

POINT P2 P1(X+1)

POINT P2 P1(X+1)

POINT P1 (3 0 1)

Translation of an existing point

Directly as coordinates

Along a curve at a certain

coordinate

POINT P3 CUR4/X=1

POINT P4 CUR2/CUR3At the intersection of 2 curves

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The XYZ curve

A curve without a location surfacedefined as a group of coordinates Point objects can be used

References to other curves needadditional information

CURVE XYZ_EX

XYZ (0 1 2) P1 FRA1/TA1 FRA/Z=5

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Useful Commands: DES and LIS

DES The command DESgives a description ofobjects in the form accepted for input

Example: DES FRF5

CUR FRF5

X 82.5

ZY STEM/Z

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Useful Commands: DES and LIS

LISThe command LISproducessupplementary data about a curve

Example: LIS FRF5LIST OF CURVE: FRF5

**************************************

X Y Z T SC REF.CURVE

82.500 0.000 0.352 25.00 25/ STEM/Z

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Curve Definition Exercises

Four exercises defining the main curvesof the hull

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Exercise 1: Main frame

Curve FRFX = 62

(0 0) (4.7 0)

(6.5 1.8)

(6.5 11.5)

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Exercise 2: Stem

Curve STEMY = 0

(84 2.2)

FRF (80 0)

(82.2 4)(81.7 4.4)(81.9 5)

(85.5 11.5)

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Exercise 3: Deck line

FRF

Curve DECKFZ = 11.5

Withroundednose

STEM

(84 2.5)(75 6.3)

(72 6.5)

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Exercise 4: Flat of side

Curve FSFY = 6.5

STEM

DECKF

FRF

Z=1.8

X=72

(65 2.2)

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Exercise 1: Answer

CUR FRFX 62YZ (0 0) -/ (4.7 0) (6.5 1.8) /-,

(6.5, 11.5)

(0 0) (4.7 0)

(6.5 1.8)

(6.5 11.5)

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Exercise 2: Answer

FRF (80 0)

(82.2 4)(81.7 4.4)(81.9 5)

(85.5 11.5)

CUR STEMY 0ZX FRF -/ (80 0) 90/ (84,2.2),

(82.2 4) 90/ (81.7 4.4),(81.9,5) /- (85.5 11.5)

E i 3 A

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Exercise 3: Answer

CUR DECKF

Z 11.5XY FRF -/ (72 6.5) (75 6.3),

(84 2.5) -90/ STEM

STEM

(84 2.5)

(75 6.3)

(72 6.5)

E i 4 A

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Exercise 4: Answer

CUR FSFY 6.5XZ FRF/Z=1.8 /0 (65 2.2),

65/ DECKF/X=72SC P

STEM

DECKF

FRF

Z=1.8

X=72

(65 2.2)

E i 5 A

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Exercise 5: Answer

STEM

DECKF

FRF

FSF

X=80

Y=4.7

(65 4.65)

CUR FBF

Z 0XY FRF/Y=4.7, (65,4.65),STEM/X=80

SC P

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