scholarly journals S-CURVE ALGORITHM OF ACCELERATION/DECELERATION WITH SMOOTHLY-LIMITED JERK IN HIGH-SPEED EQUIPMENT CONTROL TASKS

2019 ◽  
Vol 2019 (04) ◽  
pp. 3264-3270 ◽  
Author(s):  
V. Kombarov ◽  
V. Sorokin ◽  
O. Fojtu ◽  
Ye. Aksonov ◽  
Ye. Kryzhyvets
Keyword(s):  
S Curve ◽  
Author(s):  
Lixian Zhang ◽  
Xiao-shan Gao ◽  
Hongbo Li

In this paper, a multi-period turning interpolation algorithm, with real-time look-ahead scheme based on S-curve control method, is presented. In this interpolation algorithm, the geometric precision and the dynamic performance are both satisfied. The machining efficiency is improved by multi-period turning transition, and the precision is also improved by S-curve control method. The computational efficiency of this algorithm meets the need of real-time machining. In addition, there is no accumulated error. At last, this algorithm is verified the validation by the experiments on 3-axis CNC machine.


Author(s):  
Xianmin Zhang ◽  
Jianfeng Yuan

The reduction ratio of the driving system plays a very important role in the accelerating and decelerating capacity for a parallel manipulator. In this paper, the virtual work principle was employed to develop the inverse dynamics model of a novel high-speed parallel manipulator. A new S-curve speed profile was introduced and adopted to plan the trajectory of the end-effecter of the manipulator in the operation space. Aiming at the minimal operation time, a reduction ratio optimal selection method of the driving system was presented, which can make full use of the advantages of the AC servomotor and consequently reduce the cost of the manipulator.


2011 ◽  
Vol 2-3 ◽  
pp. 43-47 ◽  
Author(s):  
Guo Shun Ji ◽  
Zhi Ping Chen ◽  
Ju Yong Zhang ◽  
Wei Liu

In order to improve the stability of feed movement in high speed CNC system, the feedrate planning algorithm based on piece-wise polynomial function was proposed. The flexible transition of feedrate was realized through maintaining linear continuous jerk. The principle of the proposed algorithm was introduced and the method to generate smooth motion profile based on the proposed algorithm was presented. The rapidity, stability and tracking accuracy of the feedrate planning algorithm to linearity, S curve and the proposed one were analyzed. The proposed algorithm is simple and it can be applied in acceleration/deceleration before interpolation in high speed feed movement to improve the stability of it. The proposed algorithm was applied in multi-contour high speed processing and the result indicated that it could improve the stability of large-scale parts motion.


2013 ◽  
Vol 416-417 ◽  
pp. 626-630
Author(s):  
Chao Wu ◽  
Yun Wang Ge ◽  
Gang Zhang ◽  
Ting Bu

Control of the process of ACC/DEC (Acceleration/Deceleration) is one of most complicated problems in CNC system development. With the increase of acceleration and velocity in high-speed, high-precision CNC system, discontinuousness of acceleration will result in vibration, impact and debasing of position accuracy. The excellent ACC/ DEC control can solve these problems and improve the positioning precision. In this paper, S curve ACC/DEC algorithm is deeply studied, through comparison with other algorithms; its proved to be an efficient way in advanced CNC system. Usually, such kind of algorithm requires high-speed processor. However realization based on SCM (Single Chip Machine) is proposed in this paper. Through simulation, the result shows that the algorithm works well. Finally practical tests are carried out in Panasonic Minas A5 servo motor which indicates the control system is effective and accuracy.


2014 ◽  
Vol 556-562 ◽  
pp. 1413-1416 ◽  
Author(s):  
Tian Xiang Hu ◽  
Li Bing Zhang ◽  
Ting Wu ◽  
Feng Li Huang

To overcome some shortcomings of the linear Acc/Dec approach and the traditional S-curve Acc/Dec method, a novel velocity planning approach is proposed for CNC machine tools in this paper. The velocity planning model based on moving average technology is structured. The presented approach is used to make velocity planning for the CNC system. Comparing with the linear Acc/Dec algorithm, the presented method greatly improves motional smoothness of the linear Acc/Dec approach and reduces the complexity of the traditional S-curve Acc/Dec algorithm, which is more suitable for high-speed and high-precision CNC machine tools. The proposed approach is tested by simulation and experimentation. Simulation and experimental results have shown that the proposed method can significantly improve the motional smoothness and consumes less resource and shortens processing time for the CNC system.


Author(s):  
Taiguo Qu ◽  
Zixing Cai

Purpose Isometric feature mapping (Isomap) is a very popular manifold learning method and is widely used in dimensionality reduction and data visualization. The most time-consuming step in Isomap is to compute the shortest paths between all pairs of data points based on a neighbourhood graph. The classical Isomap (C-Isomap) is very slow, due to the use of Floyd’s algorithm to compute the shortest paths. The purpose of this paper is to speed up Isomap. Design/methodology/approach Through theoretical analysis, it is found that the neighbourhood graph in Isomap is sparse. In this case, the Dijkstra’s algorithm with Fibonacci heap (Fib-Dij) is faster than Floyd’s algorithm. In this paper, an improved Isomap method based on Fib-Dij is proposed. By using Fib-Dij to replace Floyd’s algorithm, an improved Isomap method is presented in this paper. Findings Using the S-curve, the Swiss-roll, the Frey face database, the mixed national institute of standards and technology database of handwritten digits and a face image database, the performance of the proposed method is compared with C-Isomap, showing the consistency with C-Isomap and marked improvements in terms of the high speed. Simulations also demonstrate that Fib-Dij reduces the computation time of the shortest paths from O(N3) to O(N2lgN). Research limitations/implications Due to the limitations of the computer, the sizes of the data sets in this paper are all smaller than 3,000. Therefore, researchers are encouraged to test the proposed algorithm on larger data sets. Originality/value The new method based on Fib-Dij can greatly improve the speed of Isomap.


2013 ◽  
Vol 300-301 ◽  
pp. 1389-1396 ◽  
Author(s):  
Ke Zheng Sun ◽  
Xue Feng Zhou ◽  
Gong Zhang ◽  
Xian Shuai Chen

In this paper, a novel interpolation algorithm for high speed machining is presented, which integrates S-curve acceleration/deceleration method in look-ahead function. A time division based speed planning method is used to implement discrete S-curve acceleration/deceleration method. The implementation of the proposed algorithm is given out. The proposed algorithm improves the processing efficiency and avoids the shock of machine tools caused by frequent acceleration and deceleration. The experiment shows that the proposed algorithm satisfies the requirements of interpolation accuracy and machining efficiency in high speed machining.


2013 ◽  
Vol 655-657 ◽  
pp. 1200-1203
Author(s):  
Guo Shun Ji

In high speed machining, excessive vibration and shock growing out of acceleration and jerk should be suppressed. Therefore, based on before acceleration/deceleration with linear jerk, a new NURBS curve interpolation was proposed. Interpolation feed and acceleration were planned employing before acceleration/deceleration with linear jerk evolution. During real-time interpolation, the interpolation feed and acceleration were calculated with polynomial fitting method, and with the second-order Taylor expansion, the interpolation parameter was computed. A NURBS curve was interpolated with the proposed method and the one with S curve acceleration/deceleration as comparison. The results indicated the proposed method not only maintain high feed but also reduce the interpolation output acceleration and jerk significantly, and its output jerk evolves along with time linearly. The proposed method can be used to reduce the vibration and shock from the high speed moving parts and improve their smoothness.


2019 ◽  
Vol 16 (01) ◽  
pp. 1950011 ◽  
Author(s):  
Andrea Urbinati ◽  
Davide Chiaroni ◽  
Vittorio Chiesa ◽  
Federico Frattini

Innovation scholars have long studied how and why new products and services diffuse into the market following trajectories such as the S-curve and in accordance with epidemic, social, and information cascade models. However, we see today many new products and services, especially those enabled by digital technologies, which do not seem to fit the above-mentioned trajectories and models due to the incredibly high speed and virulence at which they diffuse. Moreover, the diffusion of these innovations does not seem to depend, contrary to what the previous patterns of innovation diffusion argue, on their technological characteristics or on demand-side factors, such as the word-of-mouth effect or the feedback they receive from their early adopters. Rather, their diffusion seems to be affected by the characteristics of the business model adopted by the companies that have created and commercialized them into the market. Accordingly, our study analyzes through the historical research methodology the business model of a sample of 50 Unicorn tech-companies, which have experienced incredibly fast diffusion rates and business growth and are disrupting entire industries. The outcome of our study is a framework that maps two business model configurations that explain the role of different business model design and innovation choices in the diffusion of new products and services enabled by digital technologies.


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