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A real-time corner smoothing and interpolation algorithm for short line segments to realize continuous motion of tool axis jerk

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PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART B-JOURNAL OF ENGINEERING MANUFACTURE 2023年第4期237卷 542-560页

作者： Zhang, Liqiang Xie, Jian Yan, Yecui Liu, Gang Shanghai Univ Engn Sci Sch Mech & Automot Engn 333 Longteng Rd Shanghai 201620 Peoples R China

Aiming at the problem of acceleration and jerk fluctuation caused by the discontinuity at the corner of the tool path in the continuous short-line machining process, a real-time corner smoothing and interpolation algorithm for realizing the continuous motion of the tool axis jerk is proposed. In the corner smoothing process, the C-3 continuity of tool path is realized by constructing a symmetrical PH transition curve satisfying the maximum approximation error constraint between adjacent short lines. In the interpolation process, based on the flexible acceleration and deceleration control method, the feed rate, chord error, acceleration, and jerk constraints are considered. For the smooth C-3 continuous path, the acceleration and deceleration profile with jerk-continuous is used for velocity planning and interpolation, and the continuous motion of the tool axis jerk is realized. In this paper, the proposed method is compared and analyzed with the C-2 continuous algorithm and the traditional point-to-point interpolation algorithm through simulation and experiment for the same tool path. The results show that the jerk fluctuation of the proposed algorithm is reduced by 60.36% on average compared with the C-2 continuous algorithm, and the processing time is reduced by 19.5% compared with the point-to-point interpolation algorithm. It proves that the proposed algorithm can effectively reduce the vibration of the machine tool and improve the processing efficiency.

关键词： Jerk-continuous corner smoothing PH curve acceleration and deceleration control interpolation algorithm

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An interpolation algorithm with jerk continuity for six-axis machine tools

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CIRP JOURNAL OF MANUFACTURING SCIENCE AND TECHNOLOGY 2023年 45卷 240-252页

作者： Cheng, Liang Wu, Jianbo Guo, Yingjie Li, Jiangxiong Ke, Yinglin Zhejiang Univ State Key Lab Fluid Power Transmiss & Mechatron Sy Hangzhou 310027 Peoples R China Zhejiang Univ Sch Mech Engn Key Lab Adv Mfg Technol Zhejiang Prov Hangzhou 310027 Peoples R China Zhejiang Univ Sch Mech Engn 38 Zheda Rd Hangzhou 310027 Peoples R China

interpolation algorithm is the critical algorithm to achieve good dynamic performance of machine tools. However, due to complex kinematic constraints and calculation conditions, high-order continuous inter-polation algorithms for six-axis machine tools are relatively rare in the literature, although they can greatly improve motion stability, reduce motion impact, and inspire motion performance. This paper develops an interpolation algorithm with jerk continuity for six-axis machine tools. A C3 continuity corner smoothing method of six-axis path is achieved by locally inserting two specially designed symmetrical quintic Bezier curves into the transition corners of linear commands. The pose in the six-axis path is converted to Euler angle with three parameters, and the synchronization of the position and pose are mathematically guar-anteed at the junctions of the linear and curve segments. The proposed corner smoothing method can calculate all control points of Bezier curves under the constraints of approximation error and path curvature analytically, which makes it suitable for online calculation. A quintic-polynomial feedrate schedule is uti-lized to meet the jerk continuity of the motion, and the concept of equivalent jerk is proposed to simplify the schedule calculation and smooth the velocity curve. In this way, the jerk continuity of the algorithm is achieved both at the geometric level and the feedrate level. The developed algorithm is verified to have more advantages than low-order continuous algorithms by simulation and comparison, and can improve the motion continuity of six-axis machine tools.& COPY;2023 CIRP.

关键词： Six -axis machine tools Corner smoothing Pose and position synchronization Feedrate schedule interpolation algorithm

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Improved interpolation algorithm Accounting for Multiple Switching Actions and Reinitialization

Improved Interpolation Algorithm Accounting for Multiple Swi...

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2023 IEEE International Conference on Energy Technologies for Future Grids, ETFG 2023

作者： Yang, Cao Wei, Gu Mingwang, Xu Wei, Liu Fei, Zhang Southeast University School of Electrical Engineering Jiangsu Province Nanjing210096 China Nanjing University of Science and Technology School of Automation Jiangsu Province Nanjing210094 China

ISBN: (纸本)9781665471640

With the increasing penetration of new energy and power electronic equipment in the power grid, the operation of the power system is characterized by power electronics, which puts forward new requirements for the acceleration algorithm of electromagnetic transient simulation. This paper proposes an interpolation algorithm considering multiple switching actions and reinitialization, which has higher simulation accuracy at simulation steps of 10 µs or above. Firstly, the electromagnetic transient switch action positioning method is studied, and the algorithmic characteristics of the existing interpolation algorithm are analyzed. Secondly, to address the limitations of the existing interpolation algorithms, an interpolation algorithm that can take into account the simulation efficiency and accuracy is proposed. Furthermore, it is considered to improve the interpolation algorithm by using the reinitialization method to deal with the instant of the switch action, which can reduce the switching error and ensure the simulation accuracy at the instant of the switch action. Finally, a simulation example of the proposed interpolation algorithm is constructed, and the advantages of the proposed interpolation algorithm are verified by comparing with the simulation constructed in PSCAD/EMTDC. © 2023 IEEE.

关键词： electromagnetic transient simulation interpolation algorithm power electronic switch reinitialization

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An interpolation algorithm of B-spline curve based on S-curve acceleration/deceleration with interference pre-treatment

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INTERNATIONAL JOURNAL OF COMPUTER APPLICATIONS IN TECHNOLOGY 2021年第1期66卷 51-62页

作者： Wang Guirong Wang Qi Cui Xiaohong Xu Suan Zhang Shiwei China Jiliang Univ Hangzhou 310018 Peoples R China

The B-spline curve interpolation algorithm based on S-curve acceleration/deceleration (ACC/DEC) with interference pre-treatment is proposed to achieve a smooth transition of feed-rate, and to reduce the impact with acceleration mutation in Computer Numerical Control (CNC) machining. According to the demand of chord error, the algorithm divides a B-spline curve by velocity cusps. The interference points of the whole curve can be found out by using the S-curve ACC/DEC calculation for the velocity cusps of the whole curve from the forward and reverse directions. Then, the feed-rate of interference points is re-determined to avoid jerk overrun on the curve segments between mutual interference points, so as to improve the processing stability of machine tools. The simulation and experiment results demonstrate that the algorithm can obtain the smooth transition of feed-rate and acceleration in CNC machining, and ensured that the jerk can meet the ACC/DEC of system.

关键词： S-curve ACC/DEC interference pre-treatment piecewise curve interference points feed-rate scheduling CNC machine tools interpolation algorithm chord error feed-rate smoothing acceleration constraint

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An interpolation algorithm with dynamic-weighting for color image restoration

An interpolation algorithm with dynamic-weighting for color ...

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International Conference on algorithms, High Performance Computing, and Artificial Intelligence (AHPCAI)

作者： Liang, Haoran Li, Yang Huazhong Univ Sci & Technol Sch Artificial Intelligence & Automat Wuhan 430074 Hubei Peoples R China

ISBN: (数字)9781510651890

ISBN: (纸本)9781510651890;9781510651883

With the rapid development of digital imaging technology, the Bayer filter array represents color images. How to restore color images based on the Bayer filter array has become a problem. This paper proposes a novel interpolation algorithm, which leverages a dynamic-weighting mechanism to weight interpolation direction vectors. Experiments show that the improved algorithm has a significant improvement on color image restoration.

关键词： digital interpolation algorithm Bayer filter

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Video image scaling technology based on adaptive interpolation algorithm and TTS FPGA implementation

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COMPUTER STANDARDS & INTERFACES 2021年 76卷 103516-103516页

作者： Liu, Guangyu Zhou, Bao Huang, Yi Wang, Longfei Wang, Wei Zhao, Enming Dali Univ Sch Engn Dali 671003 Yunnan Peoples R China Harbin Engn Univ Coll Phys & Optoelect Engn Harbin 150001 Peoples R China

With the rapid development of digital multimedia terminals, the scaling of video images has solved the needs of high-end displays for low-resolution signals and high-definition signals displayed by low-end displays. The main purpose of this article is to convert the input video image signal into a video image signal with the required resolution through video image scaling. This article mainly studies various image scaling algorithms, analyzes their advantages and disadvantages, and adopts a top-down design method to implement FPGA video scaling design and verify the correctness of the results. This article introduces various traditional image interpolation algorithms. On the basis of comparing the subjective and objective quality of the image after the summation of various algorithms, the fuzzy interpolation algorithm is used to zoom the video image. In FPGA design, hori-zontal scaling and vertical scaling are handled separately, which reduces the computational complexity of image upgrades and facilitates control logic and specific implementation. The experimental results of this paper show that the maximum working frequency that the designed image scaling unit can reach is 153.12 MHz, which can process 1080p video signals in real time. Video image scaling technology has broad market prospects.

关键词： Video image Scaling technology FPGA technology interpolation algorithm Image acquisition

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Satellite Orbit interpolation algorithm Analysis for GNSS Terminals

Satellite Orbit Interpolation Algorithm Analysis for GNSS Te...

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第十一届中国卫星导航年会

作者： Yingchun Zheng Jianwei Zhang The 54th Research Institute of CETC State Key Laboratory of Satellite Navigation System and Equipment Technology

Using real-time broadcast ephemeris to calculate satellite orbit information and clock parameters is an important calculation work in GNSS terminal positioning solution. Considering the development tr

关键词： GNSS Terminals Orbit parameter interpolation algorithm Hermite

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Fault pattern recognition of gas blower based on discrete Fourier transform interpolation algorithm

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ADVANCES IN MECHANICAL ENGINEERING 2017年第3期9卷

作者： Xie, Changgui Chen, Ping Chongqing Vocat Inst Engn Chongqing 402260 Peoples R China Chongqing Univ Chongqing Peoples R China

The mechanical equipment fault spectrum often contains random noise, and traditional spectrum estimation methods introduce large errors in the fault diagnosis of mechanical equipment including gas blower. Accurate frequency estimation of multi-frequency signals that are contaminated is a common problem. To address the fault spectral characteristics of gas blowers, a novel discrete Fourier transform interpolation algorithm is presented based on traditional practice. The algorithm combines the zero-complement technique and the main lobe fitting technique. The accuracy of the spectrum correction was improved greatly with the new algorithm, and it could effectively promote fault pattern recognition. Application examples and simulation results showed that the new algorithm is very successful in the fault pattern recognition of gas blowers. Under noise conditions, the proposed algorithm has a smaller estimation error than conventional algorithms and could achieve high precision, strong compatibility, and robustness. Theoretically, the algorithm has attained a higher level, and its application in engineering practice is also quite impressive due to its highly expected values.

关键词： Gas blower interpolation algorithm spectrum correction zero-padding technology

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Realization and simulation of space curve weld interpolation algorithm 8

Realization and simulation of space curve weld interpolation...

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8th International Conference on Measuring Technology and Mechatronics Automation (ICMTMA)

作者： Ma, YanHua Yang, XianLing Hainan Coll Econ & Business Haikou 5711127 Peoples R China TANGSHAN SHICHUANG COAL PREPARATION CO LTD Tangshan 063000 Peoples R China

ISBN: (纸本)9781509023134

with the continuous development of industrial automation, the seam of space curve welding meet the accuracy requirements has become the most important issue to be solved by automated welding equipment. In this paper, a small long straight sections connected end to end to fit the space weld trajectory curve, selected discrete points in ensuring error conditions, thus completing the torch movement trajectory tracking, and implement the space curve welding seam welding. Finally, through the Matlab software simulation verify the correctness and effectiveness of the interpolation algorithm.

关键词： space curve weld interpolation algorithm

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Study on interpolation algorithm of Printing Screen Transferred Manipulator 4th

Study on Interpolation Algorithm of Printing Screen Transfer...

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4th China Academic Conference on Printing and Packaging (CACPP)

作者： Nie, Zhao Xu, Hongwei Yao, Guowei Wu, Laixiang Xian Univ Technol Xian Peoples R China Shaoxing Ruiqun Text Machinery Technol Co LTD Shaoxing Peoples R China

ISBN: (纸本)9789811000720;9789811000706

Screen printing is very common technology in printing and dye factory, now. Silk screen which was used be clean is a born work. In this paper, robot which used in silk screen cleaning is discussed. For silk screen cleaning machine, the robot is used to transfer the silk screen which is ready to be washed. According to the structures of robot and machine, the algorithms of arc interpolation are proposed. In this algorithm, the path of robot end actuator is divided into a series of discrete points. The location and gesture of robot end actuator are computed and the motion parameters of every joint are computed by one dimension scanning optimization algorithm. The algorithm is composed and used in manipulator of robot which is used to transfer the silk screen into washing machine. The experiment results prove that the algorithm is valid and helpful.

关键词： Silk screen Robot interpolation algorithm

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