scholarly journals An innovation on high-grade CNC machines tools for B-spline curve method of high-speed interpolation arithmetic

2017 ◽  
Author(s):  
Wanjun Zhang ◽  
Shanping Gao ◽  
Xiyan Cheng ◽  
Feng Zhang
Keyword(s):  
High Speed ◽  
High Grade ◽  
Cnc Machines ◽  
B Spline ◽  
Spline Curve ◽  
Curve Method ◽  
Interpolation Arithmetic

scholarly journals Trajectory optimization of the 6-degrees-of-freedom high-speed parallel robot based on B-spline curve

2019 ◽  
Vol 103 (1) ◽  
pp. 003685041988011
Author(s):  
Jiangping Mei ◽  
Fan Zhang ◽  
Jiawei Zang ◽  
Yanqin Zhao ◽  
Han Yan
Keyword(s):  
Trajectory Optimization ◽  
High Speed ◽  
Degrees Of Freedom ◽  
Control Point ◽  
Parallel Robot ◽  
B Spline ◽  
Spline Curve ◽  
Deformation Problem ◽  
Point Subset ◽  
6 Degrees Of Freedom

According to the problem that the existing high-speed parallel robot cannot satisfy the operation requirements of non-planar industrial production line, a 6-degrees-of-freedom high-speed parallel robot is proposed to carry out the kinematic and dynamic analyses. Combining with the door-type trajectory commonly used by the parallel robot, it adopts 3-, 5-, and 7-time B-spline curve motion law to conduct the trajectory planning in operation space. Taking the average cumulative effect of joint jerky as the optimization target, a trajectory optimization method is proposed to improve the smoothness of robot end-effector motion with the selected motion law. Furthermore, to solve the deformation problem of the horizontal motion stage of the trajectory, a mapping model between the control point subset of B-spline and the motion point subset of trajectory is established. Based on the main diagonally dominant characteristic of the coefficient matrix, the trajectory deformation evaluation index is constructed to optimize the smoothness and minimum deformation of the robot motion trajectory. Finally, compared to without the optimization, the maximum robot joint jerk decreases by 69.4% and 72.3%, respectively, and the maximum torque decreases by 51.4% and 38.9%, respectively, under a suitable trajectory deformation.

Design and Analysis of Timing Screw Based on B-Spline Curve

2014 ◽  
Vol 602-605 ◽  
pp. 511-516
Author(s):  
Chang Qing Zhong ◽  
Yong Lin Zhang
Keyword(s):  
Mathematical Model ◽  
Modal Analysis ◽  
High Speed ◽  
Response Analysis ◽  
B Spline ◽  
Harmonic Response ◽  
Spline Curve ◽  
Harmonic Response Analysis ◽  
Section Type ◽  
Velocity Mutation

In order to reduce the vibration of the high speed timing screw and optimize the manufacturing process of classic three-section high speed timing screw. Mathematical model of three-section high speed timing screw is rebuilt based on B-spline curve and a general mathematical model for the screw. Thus result a new one-section form instead of old three-section type. Then the displacement and speed is simulated in MATLAB. After that,modal analysis and harmonic response analysis have been done in ANSYS. Whose results show that new one-section high speed timing screw which can meet the request of three-section. New one-section high speed timing screw has no velocity mutation, which reduces the vibration of the high speed timing screw. According to the result of modal analysis and harmonic response analysis, the vibration is reduced about 20%.

Research on Modification Algorithm of Cubic B-Spline Curve Interpolation Technology

2014 ◽  
Vol 687-691 ◽  
pp. 1596-1599 ◽  
Author(s):  
Wan Jun Zhang ◽  
Feng Zhang ◽  
Jun Hai Zhao
Keyword(s):  
High Speed ◽  
Recursive Formula ◽  
B Spline ◽  
Spline Curve ◽  
Nc Machine Tool ◽  
Mathematical Properties ◽  
Spline Curves ◽  
Nc Machine ◽  
Speed Change ◽  
Order Derivation

Based on cubic B-Spline curve mathematical properties, theoretical analysis the cubic B-Spline curve recursive formula of Taylor development of first-order, derivation of two order in the interpolation cycle under the condition of certain interpolation increment only and interpolation speed, change the interpolation increments can be amended cubic times B-Spline curves purpose The simulation results show that meet the high-speed and high-accuracy NC machine tool require-ments of CNC systems.

An additional branch free algebraic B-spline curve fitting method

2010 ◽  
Vol 26 (6-8) ◽  
pp. 801-811 ◽  
Author(s):  
Mingxiao Hu ◽  
Jieqing Feng ◽  
Jianmin Zheng
Keyword(s):  
Curve Fitting ◽  
B Spline ◽  
Spline Curve ◽  
Fitting Method ◽  
Additional Branch ◽  
Curve Fitting Method

scholarly journals A fast algorithm for cubic B-spline curve fitting

1994 ◽  
Vol 18 (3) ◽  
pp. 327-334 ◽  
Author(s):  
Kuo-Liang Chung ◽  
Wen-Ming Yan
Keyword(s):  
Curve Fitting ◽  
Fast Algorithm ◽  
B Spline ◽  
Spline Curve
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