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Computational Algorithm for MRLW equation using B-spline with BFRK scheme
In this paper, septic B-spline approach with linearization and without linearization technique with the help of Butcher’s fifth-order Runge–Kutta...
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Avoiding feed fluctuation for five-axis interpolation using 3D clothoid and B-spline
For the CNC machine tools, the feedrate fluctuation may excite the vibration of the machine structures and damage the surface of machined parts. This...
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Real time tool path smoothing of short linear commands for robot manipulator by constructing asymmetrical Pythagoran-hodograph (PH) splines
Tool path smoothing of linear commands is important to guarantee the high-order motion continuity of multi-axis motion control systems. The existing...
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Asymmetrical Pythagorean-hodograph spline-based \({{\mathrm{C}}}^{4}\) continuous local corner smoothing method with jerk-continuous feedrate scheduling along linear toolpath
In computer numerical control systems, linear segments generated by computer-aided manufacturing software are the most widely used toolpath format....
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A Real-time Look-ahead Trajectory Planning Methodology for Multi Small Line Segments Path
When a robot is required to machine a complex curved workpiece with high precision and speed, the tool path is typically dispersed into a series of...
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Local tool path smoothing based on symmetrical NURBS transition curve with look ahead optimal method: experimental and analytical study
Linear tool path with the inherent shortcoming of tangential and curvature discontinuities leads to poor machining efficiency and surface finish. A...
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Time-optimal feedrate scheduling with actuator constraints for 5-axis machining
Cycle time minimization is one of the major goals to achieve in manufacturing. Maximizing feedrate is the direct solution; however, physical motions...
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An analytical and optimal corner smoothing method for CNC machine tools along linear segments
To solve the problems caused by the discontinuity of linear segments in computer numerical controlled (CNC) machine tools, a curvature optimal corner...
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An analytical G3 continuous corner smoothing method with adaptive constraints adjustments for five-axis machine tool
In this paper, an analytical local corner smoothing method is proposed with two specially designed quartic curves to generate smooth motion...
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A general, fast and robust B-spline fitting scheme for micro-line tool path under chord error constraint
The discontinuity of linear tool path (or G01 blocks) brings about unnecessary feedrate deceleration and fluctuation during machining. To improve the...
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Global smoothing for five-axis linear paths based on an adaptive NURBS interpolation algorithm
The five-axis tool path generated by CAM software usually consists of a series of linear paths. The tangent direction at the corner of the adjacent...
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Simultaneous optimization of curvature and curvature variation for tool path generation in high-speed milling of corners
The machining corners are an important feature of aircraft structure components. In the process of high-speed milling of the corner, the...
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A predictive feedrate schedule method for sculpture surface machining and corresponding B-spline-based irredundant PVT commands generating method
In order to improve the precision and efficiency of the sculpture surface machining, this paper provides a predictive sculpture surface feedrate...
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Visual servoing control of 4-DOF palletizing robotic arm for vision based sorting robot system
In this paper, an image-based visual servoing is integrated into a vision-based sorting robot system to increase the flexibility and performance of...
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Toolpath Interpolation and Smoothing for Computer Numerical Control Machining of Freeform Surfaces: A Review
Driven by the ever increasing demand in function integration, more and more next generation high value-added products, such as head-up displays,...
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Effective feed rate control to maintain constant feed per tooth along toolpaths for milling complex–shaped parts
Constantly increasing demands for accuracy, surface quality, and higher production productivity associated with machining time reduction, all of...
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Dynamic error of CNC machine tools: a state-of-the-art review
The dynamic error of CNC machine tools, which often exceeds the quasi-static error at high-speed machining, becomes the main reason affecting the...
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Dual NURBS Path Smoothing for 5-Axis Linear Path of Flank Milling
Linear path is still widely used to describe the five-axis machining trajectory. Five-axis tool path consists of two parts, one trajectory describes...
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A decoupled five-axis local smoothing interpolation method to achieve continuous acceleration of tool axis
Five-axis machines are widely used in high-speed and high-precision machining of complex sculptured surfaces for the ability to adjust the tool...
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Computational Approach for Fourth-Order Self-Adjoint Singularly Perturbed Boundary Value Problems via Non-polynomial Quintic Spline
This paper proposes a non-polynomial quintic spline method for approximate solutions of fourth-order self-adjoint singular perturbation boundary...