Real-Time Jerk Limited Feedrate Profiling and Interpolation for Linear Motor Multiaxis Machines Using NURBS Toolpaths

Erwiński, Krystian; Wawrzak, A.; Paprocki, Marcin

doi:10.1109/tii.2022.3147806

Cited by 13 publications

(7 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Extensive research has been conducted in the field of feedrate optimization with the objective of maximizing the feedrate while respecting servo error constraints. The majority of feedrate optimization or feedrate scheduling techniques primarily focus on maximizing the feedrate while considering kinematic limits such as speed, acceleration, and jerk [4]- [7], [16], [17], [21]- [23], [25]. However, the existing studies in [5]- [7], [16], [17], [21]- [23], [25] do not incorporate dynamic constraints such as servo error and cutting force, resulting in the need for a cautious selection of kinematic limits to indirectly meet the requirements on dynamic constraints.…”

Section: Introductionmentioning

confidence: 99%

Intelligent Feedrate Optimization Using an Uncertainty-Aware Digital Twin Within a Model Predictive Control Framework

Kim,

Kontar,

Okwudire

2024

IEEE Access

View full text Add to dashboard Cite

The future of intelligent manufacturing machines involves autonomous selection of process parameters to maximize productivity while maintaining quality within specified constraints. To effectively optimize process parameters, these machines need to adapt to existing uncertainties in the physical system. This paper proposes a novel framework and methodology for feedrate optimization that is based on a physics-informed data-driven digital twin with quantified uncertainty. The servo dynamics are modeled using a digital twin, which incorporates the known uncertainty in the physics-based models and predicts the distribution of contour error using a data-driven model that learns the unknown uncertainty on-the-fly by sensor measurements. Using the quantified uncertainty, the proposed feedrate optimization maximizes productivity while maintaining quality under desired servo error constraints and stringency (i.e., the tolerance for constraint violation under uncertainty) using a model predictive control framework. Experimental results obtained using a 3-axis desktop CNC machine tool and a desktop 3D printer demonstrate significant cycle time reductions of up to 38% and 17% respectively, while staying close to the error tolerances compared to the existing methods.INDEX TERMS Computer numerical control milling, digital twin, feedrate optimization, model predictive control, smart manufacturing, three-dimensional printing.

show abstract

Section: Introductionmentioning

confidence: 99%

Intelligent Feedrate Optimization Using an Uncertainty-Aware Digital Twin Within a Model Predictive Control Framework

Kim,

Kontar,

Okwudire

2024

IEEE Access

View full text Add to dashboard Cite

show abstract

“…Several new interpolations were constructed in literature to address these issues [20], [21], [22], [23]. Javad et al first proposed the acc-jerk-limited feedrate scheduling by the improved quintic feedrate profile [20].…”

Section: Introductionmentioning

confidence: 99%

“…Erwinski et al [22] presented a PSO-based feedrate optimization method to select appropriate axial velocity, acceleration, and jerk for NURBS interpolation. Although Krystian Adam Erwinski et al [23] presented a new NURBS feedrate optimization method with axial acceleration and jerk constraints, the presented method still suffers from the jerk discontinuity problem.…”

Section: Introductionmentioning

confidence: 99%

Jerk-Continuous Feedrate Optimization Method for NURBS Interpolation

2023

View full text Add to dashboard Cite

Feedrate scheduling is one of the most critical technologies in CNC machining, requiring a reasonable balance between efficiency and quality. This paper proposes a jerk-continuous feedrate smoothing (JCFS) method to generate a low-vibration and smooth feedrate profile for non-uniform rational B-spline (NURBS) interpolation. Firstly, the segmentation concept is introduced to subdivide the entire trajectory into segments to accommodate curvature changes of the NURBS curve, accelerating the acceleration/deceleration process. Secondly, a length threshold-based curve segment classification method is proposed to overcome the complexity of the traditional acceleration and deceleration algorithms. The curve segments are divided into long, medium, and short types, and the length threshold calculation model is derived. Next, to avoid computational complexity for engineering applications, a model is established for the first time to calculate the actual maximum feedrate for different types of segments. Finally, the horizontal-8-shaped and butterflyshaped NURBS curves are simulated and analyzed. The simulation results indicate that the machining quality is steadily improved while several key indicators remain within the given tolerances. Compared with the traditional method, the proposed method reduces the computational and interpolation time by 17.2% and 22.8%, respectively, demonstrating the feasibility and effectiveness of the method.

show abstract

“…Over the past few decades, numerous NURBS interpolation methods have been proposed to obtain the accurate interpolation points, and these methods can be classified into three groups: approximation methods [6][7][14][15][16], fitting methods [17][18][19][20] and feedback methods [14,[21][22][23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

“…Due to their simplicity, the firstorder and second-order Taylor's expansion methods have found widespread use in parametric interpolation [8][9][10][11][12][13]. Runge-Kutta methods [14][15][16] are also popular, with the second-order and fourth-order methods being widely utilized. However, due to truncation errors inherent in these approximation methods, fluctuations in the feedrate cannot be avoided.…”

Section: Introductionmentioning

confidence: 99%

A novel method for calculating interpolation points of NURBS curves based on chord length-parameter ratio

Hu,

Jiang,

Huo

et al. 2023

Int J Adv Manuf Technol

View full text Add to dashboard Cite

Non-uniform rational B-spline (NURBS) curve has been widely used in computer numerical control machining due to its superior properties, such as global smoothness and local support. However, because of the nonanalytic relationship between the spline parameter and the arc length, it can be challenging to obtain accurate parameters when the arc length given. Approximation methods are commonly used because of their simplicity, but they can result in feedrate fluctuations that are difficult to avoid. This paper presents a feedback method to reduce feedrate fluctuations while maintaining simplicity. To obtain the initial parameter value of the next interpolation point, the chord length-parameter ratio (CPR) is defined first, and Newton's divided difference interpolation polynomial is applied to predict the CPR of the current interpolation point based on the CPRs of the historical interpolation points. Then, the initial parameter is corrected using the Second-order Runge-Kutta method with the compensation length, which is derived according to the tangent and chord directions at the initial parameter. The proposed method only requires two calculations of the first derivative of the NURBS curve, which is comparable to the computational complexity of most approximation methods. Numerical simulations are conducted to compare the performance of the proposed method with several approximation methods and a recent feedback method. The results demonstrate that the proposed method performs exceptionally well in terms of both efficiency and accuracy.

show abstract

Real-Time Jerk Limited Feedrate Profiling and Interpolation for Linear Motor Multiaxis Machines Using NURBS Toolpaths

Cited by 13 publications

References 27 publications

Intelligent Feedrate Optimization Using an Uncertainty-Aware Digital Twin Within a Model Predictive Control Framework

Intelligent Feedrate Optimization Using an Uncertainty-Aware Digital Twin Within a Model Predictive Control Framework

Jerk-Continuous Feedrate Optimization Method for NURBS Interpolation

A novel method for calculating interpolation points of NURBS curves based on chord length-parameter ratio

Contact Info

Product

Resources

About