scholarly journals A Novel Trajectory Interpolation Algorithm for WEDM - Unit Generalized Arc Length Increment Method

Procedia CIRP ◽  
2013 ◽  
Vol 6 ◽  
pp. 255-260 ◽  
Author(s):  
W. Zhao ◽  
M. Chen ◽  
H. Chen
Keyword(s):  
Interpolation Algorithm ◽  
Arc Length ◽  
Length Increment ◽  
Trajectory Interpolation

The Confined Chord Error Algorithm for High Precision Machining Parametric Surface

2011 ◽  
Vol 201-203 ◽  
pp. 2334-2337 ◽  
Author(s):  
Zhi Qiang Zhang ◽  
Wen Jin Wang ◽  
Zhao Jian ◽  
Tai Yong Wang
Keyword(s):  
Surface Quality ◽  
High Precision ◽  
Order Derivative ◽  
Precision Machining ◽  
Interpolation Algorithm ◽  
Arc Length ◽  
Parametric Surface ◽  
Chord Error ◽  
First Order

The part’s surface quality of NC machining is influenced by the chord error greatly. The confined chord error algorithm for machining complex parametric surface is proposed for controlling the chord error. The arc length error is utilized to control the chord error of the interpolated point indirectly. The arc length error of interpolated point is computed by trapezia expressions, the coordinate and the first order derivative of interpolated point is computed by the interpolation algorithm. The computed error of confined chord error algorithm is discussed and the simulation indicate that the destined precision of the chord error can be satisfied by this algorithm.

A Novel Trajectory Control Algorithm for Intersection Seam Automated Welding

2011 ◽  
Vol 219-220 ◽  
pp. 284-287
Author(s):  
Xing Lin Yi ◽  
Xin Cheng Tian
Keyword(s):  
Control Algorithm ◽  
High Reliability ◽  
Interpolation Algorithm ◽  
Cartesian Coordinate System ◽  
Circular Arc ◽  
Straight Line ◽  
Curve Interpolation ◽  
Trajectory Interpolation ◽  
Cartesian Coordinate ◽  
Welding System

A saddle-shaped curve is formed by intersection of two tubes. This paper proposes a new saddle curve interpolation algorithm for automated welding system with non-Cartesian coordinate system. The trajectory interpolation of saddle-shaped curve is usually carried out through approximating the curve as segments of straight line/circular arc for intersection seam automated CNC welding. Simulation of the direct interpolation algorithm is carried out to testify its effectiveness and superiority. With this algorithm, it is demonstrated that the chord error is within the allowable limits and the algorithm has high reliability.

Curve Fitting Approach of Saddle-Shaped Curve for Automated Welding/Cutting

2011 ◽  
Vol 211-212 ◽  
pp. 935-938
Author(s):  
Xin Cheng Tian ◽  
Xiao Hong Deng
Keyword(s):  
Curve Fitting ◽  
Numerical Control ◽  
Interpolation Algorithm ◽  
Core Technology ◽  
Straight Line ◽  
Fitting Algorithm ◽  
Trajectory Interpolation ◽  
Cartesian Coordinate ◽  
Cutting System ◽  
Curve Fitting Algorithm

Curve fitting, or interpolation algorithm is core technology for Computer Numerical Control (CNC) systems. A saddle-shaped curve is formed by intersection of two tubes. The trajectory interpolation of saddle-shaped curve is usually carried out through approximating the curve as segments of straight line for automated CNC welding/cutting. This paper proposes a new saddle curve curve fitting algorithm for automated welding/cutting system with non-Cartesian coordinate system. Simulation of the direct curve fitting algorithm has demonstrated that the algorithm has high curve interpolation precision and high feedrate stability.

Extended unit arc length increment interpolation for generalized NURBS curves in multi-axis EDM

2019 ◽  
Vol 59 ◽  
pp. 81-89 ◽  
Author(s):  
Xue-Cheng Xi ◽  
Hao Chen ◽  
Hong-Da Liu ◽  
Mo Chen ◽  
Wan-Sheng Zhao
Keyword(s):  
Arc Length ◽  
Nurbs Curves ◽  
Length Increment ◽  
Extended Unit

Optimal trigonometric robot joint trajectories

Robotica ◽  
1991 ◽  
Vol 9 (4) ◽  
pp. 379-386 ◽  
Author(s):  
Dan Simon ◽  
Can Isik
Keyword(s):  
Objective Function ◽  
Minimum Energy ◽  
Closed Form Solution ◽  
Form Solution ◽  
Path Optimization ◽  
Interpolation Algorithm ◽  
Minimum Jerk ◽  
Trigonometric Splines ◽  
Original Application ◽  
Trajectory Interpolation

SUMMARYInterpolation of a robot joint trajectory is realized using trigonometric splines. This original application has several advantages over existing methods (e.g. those using algebraic splines). For example, the computational expense is lower, more constraints can be imposed on the trajectory, obstacle avoidance can be implemented in real time, and smoother trajectories are obtained. Some of the spline parameters can be chosen to minimize an objective function (e.g. minimum jerk or minimum energy). If jerk is minimized, the optimization has a closed form solution. This paper introduces a trajectory interpolation algorithm, discusses a method for path optimization, and includes examples.

The Confined Chord Error Algorithmfor Machining Complex Parametric Curve

2010 ◽  
Vol 458 ◽  
pp. 55-62
Author(s):  
Yong Jiang Hao ◽  
Zhi Qiang Zhang ◽  
Tai Yong Wang ◽  
Q.J. Liu ◽  
Zhi Feng Qiao
Keyword(s):  
Nc Machining ◽  
Order Derivative ◽  
Precision Machining ◽  
Interpolation Algorithm ◽  
Arc Length ◽  
Parametric Curve ◽  
Nurbs Curve ◽  
Chord Error ◽  
First Order

The part’s precision-machined quality of NC machining is influenced by the chord error greatly during precision machining. The confined chord error Algorithm for Machining Complex Parametric Curve is proposed for the complexity of the chord error. The information of the arc length error is utilized to control the chord error of the interpolated point indirectly. The arc length error of interpolated point is computed by Simpson expressions, the information of coordinate and the first order derivative of interpolated point is computed by the interpolation algorithm, so the computed difficulty is not increased greatly. The computed error of the algorithm is discussed and the simulation example of NURBS curve proves that the destined precision of the chord error can be satisfied by this algorithm.

The visual perception of arc length on a real surface

1997 ◽  
Author(s):  
J. Farley Norman ◽  
Joseph S. Lappin ◽  
Hideko F. Norman
Keyword(s):  
Visual Perception ◽  
Real Surface ◽  
Arc Length
Sign in / Sign up

Export Citation Format

Share Document