Parametric FIR filtering for G-code interpolation with corner smoothing and zero circular contour error for NC systems

Motion planning is an important topic in numerical control systems. It has two main schemes: acceleration/deceleration (acc/dec) before interpolation (ADBI) and acc/dec after interpolation (ADAI). An ADBI can interpolate command without contour error, but it causes a velocity discontinuity problem w...

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Bibliographic Details
Published in:International journal of advanced manufacturing technology Vol. 125; no. 9-10; pp. 4379 - 4397
Main Authors: Huang, Ruei-Yu, Cheng, Chung-Wei, Lee, An-Chen
Format: Journal Article
Language:English
Published: London Springer London 01.04.2023
Springer Nature B.V
Subjects:
Acceleration
CAE) and Design
Computer-Aided Engineering (CAD
Contours
Cornering
Deceleration
Discontinuity
Engineering
Errors
G codes
Industrial and Production Engineering
Interpolation
Mechanical Engineering
Media Management
Motion effects
Motion planning
Numerical controls
Original Article
Planning
Motion planning
FIR filter
Corner smoothing
Acceleration/deceleration
ISSN:0268-3768, 1433-3015
Online Access:Get full text
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Summary:Motion planning is an important topic in numerical control systems. It has two main schemes: acceleration/deceleration (acc/dec) before interpolation (ADBI) and acc/dec after interpolation (ADAI). An ADBI can interpolate command without contour error, but it causes a velocity discontinuity problem when passing through a corner. Meanwhile, an ADAI can generate a smooth cornering profile without discontinuous velocity, but it has contour error along circular trajectories. To have the benefits of both schemes and avoid their disadvantages, this study proposes a new scheme for G-code motion planning: parametric acc/dec interpolation (PADI). The PADI is a new scheme different from the ADAI and ADBI schemes. The PADI first plans a motion profile in a parametric space like an ADAI and then interpolates the blended parametric command in the working space like an ADBI. Through this approach, it can generate a smooth cornering profile like an ADAI and interpolate a circular command with zero contour error like an ADBI. These advantages can be observed in simulations and experiments. The proposed PADI scheme provides a brand-new motion planning strategy with multiple advantages that traditional methods cannot simultaneously achieve.
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ISSN:0268-3768
1433-3015
DOI:10.1007/s00170-023-11005-z