Efficient high-speed cornering motions based on continuously-variable feedrates. II. Implementation and performance analysis

A novel high-speed cornering strategy for piecewise-linear motions is proposed, based on the G 2 continuous Pythagorean–hodograph (PH) rounding segments and continuously-variable feedrates described in Part I of this two-part paper. This strategy employs an acceleration-limited approach to feedrate...

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Bibliographic Details
Published in:International journal of advanced manufacturing technology Vol. 88; no. 1-4; pp. 159 - 174
Main Authors: Nittler, Kevin M., Farouki, Rida T.
Format: Journal Article
Language:English
Published: London Springer London 01.01.2017
Springer Nature B.V
Subjects:
Acceleration
CAE) and Design
Computer-Aided Engineering (CAD
Continuity (mathematics)
Continuously variable
Cornering
Corners
Deceleration
Engineering
High speed
Hodographs
Industrial and Production Engineering
Inserts
Mechanical Engineering
Media Management
Numerical controls
Original Article
Parsers
Rounding
Scheduling
Segments
Strategy
Three axis
Pythagorean-hodograph curves
Real-time interpolator algorithm
Continuously-variable feedrate
Toolpath corner rounding
CNC machines
ISSN:0268-3768, 1433-3015
Online Access:Get full text
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Summary:A novel high-speed cornering strategy for piecewise-linear motions is proposed, based on the G 2 continuous Pythagorean–hodograph (PH) rounding segments and continuously-variable feedrates described in Part I of this two-part paper. This strategy employs an acceleration-limited approach to feedrate scheduling, including smooth deceleration and acceleration profiles along linear segments entering and leaving the rounded segments. A G-code part program parsing software package has been developed, that automatically identifies toolpath corners and inserts appropriately-sized PH quintic corner rounding segments, with associated feedrate suppression ratios. The method has been tested on a three-axis CNC mill with an open-architecture controller incorporating real-time interpolators that realize smoothly varying feedrates along the PH corner curves. Tests on a representative selection of toolpaths yield substantial savings (up to 40 %) in execution times, compared to the traditional “full stop” strategy for unmodified sharp corners.
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ISSN:0268-3768
1433-3015
DOI:10.1007/s00170-016-8741-y