Intersection - Circle / Circle

Up

Back

 

Intersection

 

Angle

Bisector

Distance

Ext. Distance

 

Offset Line

Offset Plane

Offset Point

 
 
 

Site Map

 

helmel.com

Command Activation

d Construct→Intersect
Keyboard Main Menu Toolbar

Definition

The Intersection command requires that the Circles reside in the same PCS and share the same PCS Base Plane. The Intersection command uses either the last two measured or constructed features or two random highlighted features in the inspection report.

The Circle / Circle Intersection tool provides extended capabilities as there is more than one solution. The intersection between two Circle provides 1, 3 or 5 possible solutions. All solutions are 2D Point features in the same PCS projection plane as the circles. In figure 1, we have two circles that intersect. In figure 2, we have two circles that do not intersect, but can have valid solutions.

figure 1,
Intersecting Circles
figure 2,
Non-Intersecting Circles

The chart below demonstrates the 2D Point assignment to the nodes shown in figures 1 and 2.

  Intersecting
Circles
Non-Intersecting
Circles
Notes
Point 1 Tangent Point on Circle 1 Reported as 2D Point and a miss distance.
Point 2 Tangent Point on Circle 2 Reported as 2D Point and a miss distance.
Point 3 Mid Point between Centers, or
Single contact point on the circles
Mid Point is reported as 2D Point and a miss distance.
Point 4 Intersect Point 1 N/A  
Point 5 Intersect Point 2 N/A  

When the node selection is obscured in the graphics display, press the <Zoom In> button which will redraw the graphics to encompass only the nodes for easier selection, see figure 3.

figure 3, Zoom In Operation figure 4, Selecting a node
figure 5, Show all Solutions

Selecting a node can be accomplished through various means. The simplest method is to move your mouse over a node in the graphics area. When the mouse pointer touches a node, a small display is shown which will indicate the XYZ position and node ID number. Left-click on the node and it changes into a circle indicating that is the selected node. Press the <Select> button and the solution will be inserted into the inspection report.

To view all possible point solutions, press the <Show Points> button. The display will expand to show the 3 or 5 possible solutions, see figure 5. You can select a node in the list by placing a bullet next to the corresponding node ID.

Circle / Circle - Single Point Solution

Only under one condition there can be one intersect solution. That is where the circles touch at only one point. When asking for the Intersection, the system will report the one solution in your inspection report. This point corresponds to node ID number 3 from the table above.

However, when performing repeated inspections this condition is rare. When Geomet determines the two circle do not repeat by touching in only the one selected point, and in fact does not intersect, the solution will default to the mid point and miss distance.

Circle / Circle - Default Reporting

When teaching a part for auto-inspection variances to the part during manufacturing may affect the reported intersection solution. For example, the circle may intersect as shown in figure 1 during the self-teach phase, but later during the inspection routine they fail to intersect as shown in figure 2.

If the original solution to report was node #4 or #5 when they intersected, they will report as node #3 during inspection.