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GEOMETRIC ERROR MODELING June 03, 2011. Ronnie R. Fesperman Science Based Manufacturing Group Intelligent Systems Division National Institute of Standards and Technology Gaithersburg, MD.
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GEOMETRIC ERROR MODELINGJune 03, 2011 Ronnie R. Fesperman Science Based Manufacturing Group Intelligent Systems Division National Institute of Standards and Technology Gaithersburg, MD The full descriptions of the procedures used in this presentation may require the identification of certain commercial products and their suppliers. The inclusion of such information should in no way be construed as indicating that such products or suppliers are endorsed by NIST or are recommended by NIST or that they are necessarily the best materials, instruments, software or suppliers for the purposes described.
Manufacturing Loop Developing methods, models, sensors, and data to improve metrology, machines, and processes 2
Z Y z z z z z F y y y y y z z C y y DMG 70 5-Axis Milling Z Z Y Y z z z z z z z z F F X X Z Z Y Y y y y y y y y y z z s y z T y y w z z C C y y B B 3
+Z +X +Y X +Z +Z +Z +Z +Z +Z +Z +Z +X +X +X +X +X +X +X +X +Y +Y +Y +Y +Y +Y +Y +Y B F Y W Z S C T PT E PW Transformation Chain 1 Chain 2 4
+z +Y +X EZX EXX ECX EYX EAX EBX Linear Axis Errors EAX – rotation about the x-axis (roll) EBX – rotation about the y-axis (yaw) ECX – rotation about the z-axis (pitch) EXX – linear positioning in x-axis EYX – straightness in y-axis EZX – straightness in z-axis E offset 6
Functional Point Example See Separate Document 9
+z +Y +X +Z COX COY +Z +Z EZX Y0Y EXX ECX +X +Y +Y EYX +X +X +Y ECY EZY EAX EBX EYY AOY AOZ BOX BOZ EZZ EXY EXZ ECZ EBY EAY EYZ EAZ EBZ Alignment Errors 10
Measurement 12
+Za C EZC ECC EYC EXC EBC EAC +Ya +Xa Rotary Axis Error EAC – angular error motion about the X-axis EBC – angular error motion about the Y-axis ECC – angular position error motion of C EXC – radial error motion of C in the X-axis direction EYC – radial error motion of C in the Y-axis direction EZC – axial error motion of C in the Z-axis direction 13
+Za C COC YOC XOC BOC AOC +Ya +Xa Rotary Axis Error AOC – orientation error about the X-axis BOC – orientation error about the Y-axis COC – angular location error of C-zero XOC – radial location error of C in the X-axis direction YOC – radial location error of C in the Y-axis direction 14
Measurements 15
+Z +X +Y X +Z +Z +Z +Z +Z +Z +Z +Z +X +X +X +X +X +X +X +X +Y +Y +Y +Y +Y +Y +Y +Y B F Y W Z S C T PT E PW Transformation Chain 1 Chain 2 16
Measurement Point Measurement Point 17
Error Simulator Machine Specific XML File Cutter Location Data Geometric Error Model Feature Analysis Results 18
Ballbar 21
Deviation (mm) Rotary Table Angle (degrees) R-Test 22
Tetrahedron 23
Questions ? 24