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Designing Conical Curves |
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To design a conical curve, set its starting and ending points, tangents to the curve at these points and the engineering discriminant or the intermediate point of the curve. More details on conical curves...
To create conic curves in KOMPAS-3D, use the following commands:
•Conical curve by vertex and discriminant,
•Conical curve by a vertex and a point on the curve,
•Conical curve by tangents and discriminant,
•Conical curve by tangents and a point on the curve.
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The conical curve design commands are combined in a group. While executing a group command, you can switch to execution of another one using buttons of the Parameter Toolbar header. You can also transfer any parameters you’ve specified between the commands of a group. |
Conical curve by vertex and discriminant
If you use this method to design a conical curve, specify its starting and ending points, a point of intersection of tangents to the curve at these points, and the value of the parameter defining the shape of the curve.
To construct a conic curve by vertex and discriminant, use the Conical curve by vertex and discriminant 
command.
Step-by-step instructions
1.Set the starting and end points, and then the intersection point of the tangents to the conic curve at these points using the element groups Starting point (1), End point (2), and Vertex (3) on the Parameters Panel. How to set a point:
•Enter the coordinates or define a point object. The procedure is the same as when creating a point in Rectangular coordinates.
•Plotting a point. To do this, click Draw point button 
located to the right of the Snap Point field. Will start Subprocess of plotting a point.
In the graphic area, it is displayed by a conical curve phantom, its chord ending at points 1 and 2, and tangents to the curve at these points.
2.Set the shape of the conical curve. To do this, use the Coefficient/Height curve switch.
The shape of the conical curve is defined by the parameter coefficient k (engineering discriminant) or the corresponding parameter curve height , see section. Conical curve parameters.
Set the switch Coefficient/Curve Height to the desired position (Coefficient or Curve Height) and enter the parameter value in the corresponding field.
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The value of the coefficient should be between 0.0001 and 0.9999. |
The minimum integral curvature of a conical curve can be automatically determined. To do this, use Minimum Voltage 
button to the right of the parameter value field. After pressing the button, the value of the coefficient/height parameter is automatically calculated, at which the integral curvature of the conical curve is minimal. The parameter value appears in the field and becomes non-editable.
If you want to undo the automatic determination of the parameter and enter the value manually, click Minimum Voltage .
3.To complete the build of the conic curve, click Create object 
button.
In the graphical area, a created conic curve will appear, and in the Construction Tree, its icon 
.
4.To complete operation of the command, click Finish 
button.
Advanced Options of Conical Curves...
Conical curve by a vertex and a point on the curve
If you use this method to design a conical curve, specify its starting and ending points, a point of intersection of the tangents to the curve at these points, and the intermediate point of the curve.
To construct a conic curve using a vertex and a point on the curve, use the Conical curve by a vertex and a point on the curve 
command.
Step-by-step instructions
1.Set the starting and end points, and then the intersection point of the tangents to the conic curve at these points using the element groups Starting Point (1), End Point (2) and Vertex (3) on the Parameters Panel. How to set a point:
•Enter the coordinates or define a point object. The procedure is the same as when creating a point in Rectangular coordinates.
•Plotting a point. To do this, click Construct Point button located on the right side of the Snap Point field. Will start Subprocess of plotting a point.
In the graphic area, it is displayed by a conical curve phantom, its chord ending at points 1 and 2, and tangents to the curve at these points.
2.Specify the point through which the conic curve will pass using the group of elements Point on the curve (4) on the Parameter Panel. The point must be set inside the triangle formed by the chord and the tangents.
See paragraph 1 for methods to set the point.
3.To complete the build, click Create object button.
A created conical curve will appear in the graphic area, and its icon will appear in the Construction Tree.
4.To complete operation of the command, click Finish .
Advanced Options of Conical Curves...
Conical curve by tangents and discriminant
If you use this method to design a conical curve, specify its starting and ending points, direction of tangents to the curve at these points, and the value of the parameter defining the shape of the curve.
To design a conical curve by tangents and the parameter value, use the Conical curve by tangents and discriminant 
.
Step-by-step instructions
1.Set the start and end points of the conic curve using the element groups Starting point (1) and End point (2) on the Parameters toolbar.
How to set a point:
•Enter the coordinates or define a point object. The procedure is the same as when creating a point in Rectangular coordinates.
•Plotting a point. To do this, click Construct Point button located to the right of the Snap Point field. Will start Subprocess of plotting a point.
2.Set the direction of the tangents to the curve in the initial and final points. For this, in each group of elements Starting point (1) and End Point (2), perform one of the following actions:
•Set a guiding object. To do this, click in the field Direction at Point and specify the required object in the Design Tree or in the graphic area.
The name of the object is displayed in the Direction in point field.
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If the conical curve is to be mated with an existing curve, you should specify a point of this curve as the starting/ending point: a starting or ending point, or a point plotted using the On CurveeitherAt intersection, and as a guiding object at this point — the curve itself. |
•Build a vector. To do this, press the Build Vector 
button to the right of the Direction in point field. Will start subprocess of vector construction.
•Specify the angle of inclination of the tangent to the chord of the conic curve connecting Points 1 and 2. To do this, enter a value in the Angle.
The slope angle can have a value ranging from -180° to 180°. To reverse the angle calculation direction, reverse the sign of its value or click Change direction 
to the right of the field Angle.
If the tangent direction is set by a guiding object or vector, then the angle cannot be entered.
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If the direction of one of the tangents is set by the slope angle, then you can only set the guiding object or vector for the second tangent. |
In the graphic area, it is displayed by a conical curve phantom, its chord ending at points 1 and 2, and tangents to the curve at these points.
3.Set the shape of the conical curve. For this, the switch Coefficient/Height of the curve is used.
The shape of the conical curve is defined by the parameter Coefficient k (engineering discriminant) or its corresponding parameter Curve height, see section. Conical curve parameters.
Set the switch Coefficient/Height of the curve to the desired position (Coefficient or Curve height) and enter the parameter value in the corresponding field.
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The value of the coefficient should be between 0.0001 and 0.9999. |
The minimum integral curvature of a conical curve can be automatically determined. To do this, use the Minimum Voltage button to the right of the parameter value field. After pressing the button, the value of the coefficient/height parameter is automatically calculated, at which the integral curvature of the conical curve is minimal. The parameter value appears in the field and becomes non-editable.
If you want to undo the automatic determination of the parameter and enter the value manually, click Minimum Voltage button.
4.To complete the build of a conic curve, click Create object button.
A created conic curve will appear in the graphical area, and its icon will appear in the Tree of construction .
5.To complete operation of the command, click Finish .
Advanced Options of Conical Curves...
Conical curve by tangents and a point on the curve
If you use this method to design a conical curve, specify its starting and ending points, direction of tangents to the curve at these points, and the intermediate point of the curve.
To construct a conic curve by tangents and a point on the curve, use the Conic curve by tangents and a point on the curve 
command.
Step-by-step instructions
1.Set the start and end points of the conic curve using the groups of elements Starting point (1) and End Point (2) on the Parameter Panel. How to set a point:
•Enter the coordinates or define a point object. The procedure is the same as when creating a point in rectangular coordinates.
•Plotting a point. To do this, click Construct point button located on the right side of the Snap point field. Will start Subprocess of plotting a point.
2.Set the direction of the tangents to the conic curve in specified points. For this, in each group of elements Starting point (1) and End point (2) perform one of the following actions:
•Set a guiding object. To do this, click in the field Direction at Point and specify the necessary object in the Design Tree or in the graphic area.
The name of the object is displayed in the Direction in point field.
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If the conical curve is to be mated with an existing curve, you should specify a point of this curve as the starting/ending point: a starting or ending point, or a point plotted using the On CurveeitherAt intersection, and as the guiding object at this point — the curve itself. |
•Build a vector. To do this, press the Construct vector button to the right of the Direction in point field. Will start subprocess of vector construction.
•Specify the inclination angle of the tangent relative to the chord of the conic curve connecting Points 1 and 2. To do this, enter a value in the Angle.
The slope angle can have a value ranging from -180° to 180°. To reverse the angle calculation direction, reverse the sign of its value.
If the tangent direction is set by a guiding object or vector, then the angle cannot be entered.
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If the direction of one of the tangents is set by the slope angle, then you can only set the guiding object or vector for the second tangent. |
In the graphic area, it is displayed by a conical curve phantom, its chord ending at points 1 and 2, and tangents to the curve at these points.
3.Set a point through which the conic curve will pass, using the elements group Point on the curve (4) on the Parameter Panel. The point must be specified inside the triangle formed by the chord and the tangents. See paragraph 1 for methods to set the point.
4.To complete the build, click Create object button.
The resulting conical curve will appear in the graphic area; its icon will be displayed in the Design Tree .
5.To complete operation of the command, click Finish button.
Advanced Options of Conical Curves...
•You can use the geometrical calculator.
•You can assign tolerances to the values of the operation parameters expressed in linear and angular values. To do this, invoke the Tolerance command, located in the menu of the required parameter, or click the icon 
, displayed in the parameter field (the icon is displayed if a tolerance is assigned to the parameter value).
More details on assigning tolerance...
•The values of the numeric parameters of the created conical curve can be specified using defining points.
