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Journal articles on the topic 'Machine with parallel kinematics'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Cai, Lin. "Kinematic Analysis of 5-UPS Parallel Machine Tool Based on Adams." Applied Mechanics and Materials 644-650 (September 2014): 215–19. http://dx.doi.org/10.4028/www.scientific.net/amm.644-650.215.

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In this paper, the kinematics of 5-UPS parallel machine tool is analyzed, and a kinematic analysis method combining kinematic analysis and computer kinematics software is proposed. Under the premise that the parallel machine tool sector parameters is known, firstly we use the vector method to establish a mathematical model of inverse kinematics, and in accordance with a U-shaped processing trajectory the inverse solution is calculated; Secondly, three-dimensional model of the parallel machine tool is modeled in Adams, and kinematic constraints are set correctly; Finally, the inverse kinematics

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2

Nagao, Keisuke, Nobuaki Fujiki, Yoshitaka Morimoto, and Akio Hayashi. "Calibration Method of Parallel Mechanism Type Machine Tools." International Journal of Automation Technology 14, no. 3 (2020): 429–37. http://dx.doi.org/10.20965/ijat.2020.p0429.

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This paper proposes a calibration method for a parallel mechanism type machine tool (XMINI, Exechon Enterprises L.L.C.). In this method, the kinematic parameters are calculated using forward kinematics and the least squares method from the results obtained by a coordinate measuring machine. By using an articulated arm coordinate measuring machine (AACMM), we can measure a wide space, and the measuring machine position do not have to be determined strictly. This paper provides a solution for the forward kinematics problem to identify the kinematic parameters. The results from the kinematic para

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3

Hu, Bo, Bo Li, and He Cui. "Design and kinematics analysis of a novel serial–parallel kinematic machine." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 230, no. 18 (2016): 3331–46. http://dx.doi.org/10.1177/0954406215624450.

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A novel serial–parallel kinematic machine based on a serial–parallel manipulator is proposed and its kinematics and statics are studied systematically. First, the concept of serial–parallel kinematic machine formed by the 3-PRS parallel manipulator and the 2-UPR + SPR PM is proposed. Second, the displacement is derived in close form based on the geometrical and dimensional constraints existed in the serial–parallel kinematic machine. Third, the Jacobian, velocity and statics of the serial–parallel kinematic machine are derived in the explicit and compact form. Finally, the formulas for solving

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4

Gao, Tie Hong, Chang Juan Yu, Jiang Bo Qi, and Jun Yi Cao. "The Kinematic Analysis of a Novel Parallel Machine Tool with 3-HSS Structure." Materials Science Forum 532-533 (December 2006): 797–800. http://dx.doi.org/10.4028/www.scientific.net/msf.532-533.797.

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A novel parallel machine tool(PMT) with 3-HSS structure is presented in this paper. The three ball screws and guiding-parallels of this PMT are horizontally and parallel set. The three helix joints are driving components connected to and driven by servos, and the corresponding parameters of the cutter position can be obtained. The kinematics modeling is simple and the direct and inverse kinematics can be easily obtained for this PMT. It also has other advantages, such as spacious workspace in horizon direction, simple structure, easy controlling, etc. This PMT can be used in three-dimensional

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5

Hu, Ming, and Jia Shun Shi. "The Kinematics Analysis of the 3-PTT Parallel Machine Tools." Applied Mechanics and Materials 701-702 (December 2014): 784–87. http://dx.doi.org/10.4028/www.scientific.net/amm.701-702.784.

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This paper presents the kinematics for 3-PTT parallel machine tools, the kinematic is analytically performed, the forward and inverse position kinematic equations are explicit functions and workspace is derived and there is no singularity configuration and kinematic coupling in the whole workspace. The manipulability analytical of the parallel machine tool is investigated by the Jacobian matrix.

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Li, Bin Cheng, Dan Yang, and Rong Zhi Lu. "Kinematics Analysis and Control System Design of 6-DOF Parallel Kinematic Machine with Matlab and EMC2." Advanced Materials Research 102-104 (March 2010): 363–67. http://dx.doi.org/10.4028/www.scientific.net/amr.102-104.363.

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This paper obtained the inverse kinematics model through performing kinematic analysis of 6-DOF parallel kinematic machine (PKM) via the MATLAB software. On the basis of that, kinematics inverse module in EMC2(Enhanced Machine Controller) is recompiled and verified through CNC machining simulation, which set up an important foundation for later prototype construction and motor output control.

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7

Oiwa, Takaaki. "Precision Mechanisms Based on Parallel Kinematics." International Journal of Automation Technology 4, no. 4 (2010): 326–37. http://dx.doi.org/10.20965/ijat.2010.p0326.

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The parallel kinematic mechanism has been applied to simulators and robots for its high speed or multiple degrees of freedom. In recent years, however, it has begun to be used for precision mechanisms, such as machine tools, measuring machines, or fine-motion mechanisms. This review outlines the parallel kinematic mechanism and compares it with the conventional orthogonal coordinate mechanism to describe its nature and characteristics as a precision mechanism. It also introduces some cases in which the parallel kinematic mechanism is applied to fine motion mechanisms and three-dimensional coor

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Yu, Hong Jian, Bing Li, Yang Wang, and Ying Hu. "Kinematics and Dexterity Analysis for a Novel Hybrid Kinematic Machine." Key Engineering Materials 516 (June 2012): 420–25. http://dx.doi.org/10.4028/www.scientific.net/kem.516.420.

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In this paper a novel 4 Degree-of-Freedom (DOF) parallel mechanism with the configuration of 4PUS-1RPU is applied for a 5-axis Hybrid Kinematic Machine (HKM), combined with an additional linear motion. The Parallel Kinematic Mechanism (PKM) is composed of four symmetrical driving chains and one central passive sub-chain. Firstly, the mechanism is described, and the mobility is analyzed. Then the inverse kinematics of the 4-DOF PKM and the direct kinematics for the serial central sub-chain are then presented. The dexterity and the workspace analysis for the mechanism are also carried out. Final

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9

KOVALEVSKYI, S. V., O. S. KOVALEVSKA, and V. M. OSIPOV. "CONCEPT OF THE MULTYNOMENCLATURE RECONFIGURABLE MACHINE REPAIR CLUSTER." Economic innovations 20, no. 4(69) (2018): 91–100. http://dx.doi.org/10.31520/ei.2018.20.4(69).91-100.

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Topicality. Ensuring reliable functioning of equipment and mechanisms by forming a machine-building cluster, which reduces the idle time as a result of the creation of flexible technological systems based on numerically controlled machine tools. The reliability of the functioning of production facilities created at the machine-building and processing enterprises is achieved not only by high-quality manufacturing, but also by the level of service, which is a continuous support of the working capacity of machines and mechanisms, based on the timely provision of spare parts and repair and mainten

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10

Feng, Zhi You, Zhi Guo Gao, Ting Li Yang, and Ce Zhang. "A New Parallel Kinematic Machine UPS-2RPS and Kinematics Analysis." Materials Science Forum 626-627 (August 2009): 417–22. http://dx.doi.org/10.4028/www.scientific.net/msf.626-627.417.

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A new parallel kinematic machine UPS-2RPS with serial input limb is presented, the topological structure characteristics are described. The mathematic model of inverse position solution is derived. The workspace of the mechanism is analyzed and researched by results of MATLAB and Pro/E simulation, The research will be of great significance to promote its novation, application and spread .

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11

Chen, Wen Jia, Lan Lei Zhao, and Jiang Zhang. "A 3-DOF Parallel Manipulator Based 5-Axis Parallel Kinematics Machine Tool." Advanced Materials Research 317-319 (August 2011): 698–702. http://dx.doi.org/10.4028/www.scientific.net/amr.317-319.698.

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Though computer technology has brought about virtual manufacturing to expedite design and analysis through simulation and visualization, machines remain essential, as ultimately products need to be made. This paper presents a new type of 5-axis parallel machine tool based on a 3 degrees of freedom parallel platform manipulator with base mounted prismatic actuators. This machine tool is different from the Stewart platform type parallel machine tool in that its feed motion in X-direction is realized by the worktable on which work-piece is fixed and the parallel manipulator sliding on the gantry

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12

Dang, Peng Fei, and Li Jin Fang. "Error Comparison and Analysis of Parallel and Constraint Mechanism for 3-TPS Hybrid Machine Tool." Applied Mechanics and Materials 127 (October 2011): 277–82. http://dx.doi.org/10.4028/www.scientific.net/amm.127.277.

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This paper establishes position error model based on parallel robot kinematics theory, and analyses position error of the 3-TPS hybrid machine tool. Firstly, to calculate position error of the movable plate caused by the parallel mechanism links, through error model of the parallel mechanism which is established through inverse kinematics of the hybrid machine tool. Then, according to the error model of constraint mechanism established by transformation matrix method, the position error has been simulated and calculated. Finally, this paper compares the effects of both mechanisms. The analysis

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13

Rosyid, Abdur, Bashar El-Khasawneh, and Anas Alazzam. "External Kinematic Calibration of Hybrid Kinematics Machine Utilizing Lower-DOF Planar Parallel Kinematics Mechanisms." International Journal of Precision Engineering and Manufacturing 21, no. 6 (2019): 995–1015. http://dx.doi.org/10.1007/s12541-019-00261-3.

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AbstractThis paper presents the implementation of nonlinear least squares and iterative linear least squares algorithms for external kinematic calibration of a hybrid kinematics machine composed of two 3PRR planar parallel kinematics mechanisms by utilizing a laser tracker. First the hand-eye and robot-world transformations were obtained by a separable closed-form solution and refined by the nonlinear least squares. Subsequently, the geometric parameters of the machine’s mechanisms were estimated using the two algorithms. Due to the rank deficiency, we implemented the nonlinear least squares a

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14

Guo, Jian Ye, Chao Yu, and Jia Shun Shi. "The Error Modeling on a Kind of Parallel Machine Tool in Considering the Joint Gap." Advanced Materials Research 129-131 (August 2010): 266–70. http://dx.doi.org/10.4028/www.scientific.net/amr.129-131.266.

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This paper takes a kind of 3-UPS Parallel Machine Tool (PMT) as the objective of research. First, the kinematic analysis is carried out to the machine and the kinematics equation is obtained. Then, the mathematical model on tool posture error of this machine is established in considering the joint gap based on the kinematics equation. According to the mathematical model expression, the posture error of tool tip point can be calculated when the specific values to the length error of the driving rod and the position error of the joint point are known. The establishment of error model has importa

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15

Chang, T.-H., S.-L. Chen, C.-A. Kang, and I. Inasaki. "Design optimization of the linkage dimension for a hybrid-type parallel kinematic machine tool." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 216, no. 2 (2002): 143–56. http://dx.doi.org/10.1243/14644190260070385.

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The parallel kinematic machine tool has many advantages including excellent loading capacity, high structural stiffness and small accumulated error of linkage. It has become one of the most important research fields for machine tools. In the present research, a principle for the optimization of the dimensional design parameters of a parallel kinematic machine tool is proposed. A five-degree-of-freedom (5DOF) parallel kinematic machine tool with a TRR-XY hybrid mechanism is chosen for investigating the design procedures and the optimization results. The inverse kinematics of the hybrid mechanis

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16

Nagao, Keisuke, Nobuaki Fujiki, Hiroto Tanaka, Akio Hayashi, Hidetaka Yamaoka, and Yoshitaka Morimoto. "Machining Performance of Robot-Type Machine Tool Consisted of Parallel and Serial Links Based on Calibration of Kinematics Parameters." International Journal of Automation Technology 15, no. 5 (2021): 611–20. http://dx.doi.org/10.20965/ijat.2021.p0611.

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This study aims to calibrate the posture of a robot-type machine tool comprising parallel and serial links using a kinematics error model and verify the machining performance based on the measurement results of a machined workpiece calibrated with kinematics parameters. A robot-type machine tool (XMINI, Exechon Enterprises LLC) is used in this study. Typically, the performance required of a robot-type machine tool is not only dimensional accuracy but also the contour accuracy of the machined workpiece. Therefore, in this study, we first construct a forward kinematics model of a robot-type mach

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17

Tanaka, Hiroto, Yoshitaka Morimoto, Akio Hayashi, and Hidetaka Yamaoka. "Posture Evaluation Based on Forward Kinematics and Inverse Kinematics of Parallel Link Type Machine Tool." International Journal of Automation Technology 16, no. 4 (2022): 497–506. http://dx.doi.org/10.20965/ijat.2022.p0497.

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Parallel mechanisms with multiple links have been expected to be used in machining because they are higher in rigidity, accuracy, and output power than series mechanisms, such as industrial robots. However, unlike conventional machine tools, which consist of linear and rotary axes, parallel mechanisms have a large number of error factors. In the parallel link mechanism, there is no guide surface that physically guarantees linearity, and all accuracy is determined by the operating performance of the composite axes. This makes it difficult to identify any error factors. Therefore, a kinematics m

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18

Terrier, M., M. Giménez, and J.-Y. Hascoët. "VERNE - a five-axis parallel kinematics milling machine." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 219, no. 3 (2005): 327–36. http://dx.doi.org/10.1243/095440505x30177.

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Ten years ago a new kind of machine tool was presented in Chicago, based on parallel kinematics architectures. Since then, many of these parallel kinematics machines (PKMs) have been developed around the world. Their main interest lies in their high dynamic characteristics, which could help in going faster in high-speed milling. In order to develop high-speed milling on PKM tools and to highlight their potentialities, the French laboratory IRCCyN is now equipped with the VERNE. This PKM tool has been developed by the Spanish company Fatronik. However, the high-speed milling production process

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19

Zhao, Chang Long, and Xue Song Guan. "Study on Kinematics Simulation of Parallel Machine Tool." Applied Mechanics and Materials 411-414 (September 2013): 3060–63. http://dx.doi.org/10.4028/www.scientific.net/amm.411-414.3060.

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In the paper, making model of parallel machine tool with the software UG, and complete the virtual assembly process parametric modeling and parallel machine tool of the entire organization, provides the design’s basis for the future development of parallel machine tool. The study on kinematics simulation of parallel machine tool, complete the simulation of spiral machining, solves the problem in the process of simulation of the larger curvature change. The study can improve the design’s quality of machine tool and shorten the study time of parallel machine tool.

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20

Tolstosheev, A. K., and V. A. Tatarintsev. "Designing Statically Determinable Mechanisms of Technological Mechatronic Machines with Parallel Kinematics." Mekhatronika, Avtomatizatsiya, Upravlenie 20, no. 7 (2019): 428–36. http://dx.doi.org/10.17587/mau.20.428-436.

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The work is devoted to improving the reliability and manufacturability of mechatronic machine designs with parallel kinematics by replacing statically indeterminable manipulators with statically determinable mechanisms. A technique is proposed in which the design of statically determinable manipulators of technological mechatronic machines with parallel kinematics is performed by modifying the structure of prototypes and includes three steps: identifying and analyzing redundant links, eliminating redundant links, checking the correctness of eliminating redundant links. To determine the number

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21

Oiwa, Takaaki. "Coordinate Measuring Machine based on Parallel Kinematics." Journal of the Robotics Society of Japan 30, no. 2 (2012): 139–43. http://dx.doi.org/10.7210/jrsj.30.139.

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22

Farias, João B. S., Miguel A. B. E. Martins, Daniel G. Afonso, Sonia R. H. Marabuto, Jorge A. Ferreira, and R. J. Alves de Sousa. "CAD/CAM Strategies for a Parallel Kinematics SPIF Machine." Key Engineering Materials 554-557 (June 2013): 2221–29. http://dx.doi.org/10.4028/www.scientific.net/kem.554-557.2221.

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Single point incremental forming has attracted the interest of researchers in the last decade for the production of prototypes and small batch production of sheet-based parts [1, 2]. This technique allows the manufacture of parts without using expensive die sets. The SPIF (Single point incremental forming) process can be performed on different equipments such as adapted CNC milling machines, serial robots and built proposed machines [3]. Every solution has advantages and disadvantages. This work presents the CAD/CAM strategies for a parallel kinematics SPIF machine, designed and built at the U

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23

Yang, Xiao Jun, Bing Li, and Dong Lai Zhang. "Post-Processing Development of a New PTS-X Hybrid Kinematics Machine." Key Engineering Materials 375-376 (March 2008): 719–23. http://dx.doi.org/10.4028/www.scientific.net/kem.375-376.719.

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A new 5-degrees-of-freedom hybrid kinematic machine(HKM) consisting of a 4-degrees-of-freedom PTS-based parallel kinematics platform with center constraint branch and a serial X axis is developed. The will-be-machined workpiece is mounted on the platform and the spindle movement is driven by the X axis. This new HKM is very different from a conventional serial-type machine. Therefore, a special algorithm that can transfer the cutter location data (CL-data) into machine specific NC commands is essential for the applications of the PTS-X based HKM in real machining of the workpiece with the comp

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24

Tsai, Lung-Wen, and Sameer Joshi. "Kinematic Analysis of 3-DOF Position Mechanisms for Use in Hybrid Kinematic Machines." Journal of Mechanical Design 124, no. 2 (2002): 245–53. http://dx.doi.org/10.1115/1.1468860.

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This paper introduces a new kinematic architecture called the hybrid kinematic machine. A hybrid kinematic machine typically consists of a position mechanism and an orientation mechanism that can be arranged in series or in parallel to achieve the notion of modular and reconfigurable machining centers. To demonstrate the concept, four parallel manipulators with translational motion characteristics have been identified. The kinematics of these mechanisms are described. Then, the well-conditioned workspace of each mechanism is maximized, and the stiffness properties are mapped. A comparison of t

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25

Mangal, Singh Sisodiya. "OPTIMIZATION OF JOINTS AND LINKS IN PLANAR PARALLEL ROBOT MECHANISMS." International Journal of Advances In Scientific Research and Engineering (IJASRE) 3, no. 4 (2017): 176–85. https://doi.org/10.5281/zenodo.583851.

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<em>Now a day’s Robotic automation becomes a major driving force in modern industrial developments. The parallel robots, also called hexapods or parallel kinematics machine (PKM) are closed- loop mechanisms presenting very good performance in term of accuracy, rigidity and ability to manipulate large load. This paper intends to present a comprehensive synthesis of the Design and optimization of a high Speed Planar Parallel robot. Applications for this type of robot include manufacturing and assembly where high speed and accuracy are required in a relatively small workspace. In present work rob

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26

Толстошеев, Андрей, Andrey Tolstosheev, Вячеслав Татаринцев, and Vyacheslav Tatarincev. "STRUCTURAL ANALYSIS OF ROBOT MACHINE MECHANISMS WITH PARALLEL KINEMATICS." Bulletin of Bryansk state technical university 2017, no. 1 (2017): 33–43. http://dx.doi.org/10.12737/24889.

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Robot machines with parallel kinematics belong to a new generation of machine-tools. The properties of these mechatronic machines are defined to a greater extent by a structure of their actuating lever mechanisms of a parallel structure (MPS). The purpose of this work is a development of the procedure for a structural analysis of MPS and the assessment of its efficiency. The following problems are under solution: a critical analysis of a problem state; a procedure development and check of its operational capability; a procedure application for certain structures of robot machines. By means of

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27

Wang, Rui, Gang Ding, and Shi Sheng Zhong. "Kinematics Analysis of a New 5 DOF Parallel-Serial Machine Tool Based on the Vector Method." Key Engineering Materials 450 (November 2010): 283–87. http://dx.doi.org/10.4028/www.scientific.net/kem.450.283.

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A 5-axis parallel-serial machine tool is proposed, which consists of a 3-DOF parallel mechanism and a 2-DOF serial mechanism, and the kinematics analysis is discussed in detail based on the vector method. The size of the velocity transformation matrix is decreased. The problem of parameter coupling is resolved by adopting identity matrix and four-element vector. The relationship between the velocity and acceleration of the movable platform and the input parameters of the parallel mechanism is established. These algorithms are verified correct through ADAMS (Automatic Dynamic Analysis of Mechan

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28

Chen, Xiulong, Weiming Feng, Xianyang Sun, and Qing Gao. "Kinematics Analysis of a Parallel Coordinate Measuring Machine." International Journal of Advanced Robotic Systems 10, no. 4 (2013): 201. http://dx.doi.org/10.5772/55839.

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29

Ivanov, A. V., and S. I. Klepikov. "Generational synthesis of machine tools with parallel kinematics." Russian Engineering Research 28, no. 7 (2008): 697–700. http://dx.doi.org/10.3103/s1068798x08070137.

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30

Akmaev, O. K., and B. A. Enikeev. "A Machine Tool with Parallel Two-Level Kinematics." Russian Engineering Research 36, no. 2 (2016): 129–33. http://dx.doi.org/10.3103/s1068798x16020040.

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31

Hunt, James A. "Robot kinematics and the Gantry‐Tau parallel machine." Industrial Robot: An International Journal 34, no. 5 (2007): 362–67. http://dx.doi.org/10.1108/01439910710774368.

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32

Hnatyuk, Olena, and Olha Yalina. "THE NEW IMPLEMENTATION METHODS MANAGEMENT MECHANICAL CUTTING AND VIBRO PROCESS." ENGINEERING, ENERGY, TRANSPORT AIC, no. 2(117) (August 30, 2022): 115–24. http://dx.doi.org/10.37128/2520-6168-2022-2-12.

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The problem of ensuring the required quality and operation of the properties of machine parts is becoming increasingly important in mechanical engineering. However, to date, no generalized theoretical relationships between surface quality parameters, machining accuracy, performance properties of parts and parameters of machining processes, which allow to solve the problem of technological support of the specified performance properties of parts. The control of the surface formation process with the required properties is carried out mainly by using partial experimental dependences and tables o

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33

Zhang, Haiqiang, Hairong Fang, Dan Zhang, Xueling Luo, and Qi Zou. "Forward Kinematics and Workspace Determination of a Novel Redundantly Actuated Parallel Manipulator." International Journal of Aerospace Engineering 2019 (May 12, 2019): 1–14. http://dx.doi.org/10.1155/2019/4769174.

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This paper presents a novel redundantly actuated 2RPU-2SPR parallel manipulator that can be employed to form a five-axis hybrid kinematic machine tool for large heterogeneous complex structural component machining in aerospace field. On the contrary to series manipulators, the parallel manipulator has the potential merits of high stiffness, high speed, excellent dynamic performance, and complicated surface processing capability. First, by resorting to the screw theory, the degree of freedom of the proposed parallel manipulator is briefly addressed with general configuration and verified by Grü

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34

Yang, Xiao Jun, Bing Li, and Dong Lai Zhang. "Kinematics Calibration of Parallel Kinematic Machine Using a Developed Double-Ball Bar Gauge." Key Engineering Materials 364-366 (December 2007): 243–48. http://dx.doi.org/10.4028/www.scientific.net/kem.364-366.243.

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In this paper a novel constraint calibration technique for Stewart platform based Parallel Kinematics Machine(PKM) is presented. A commercial trigger probe and a developed double-ball bar gauge are employed to aid the calibration. In the measuring process the characterized errors can be obtained by comparing the nominal characterized size calculated by the function using the measuring data with the real size of the double-ball gauge. An optimization approach is used to calculate the PKM structural errors, and these errors can be finally compensated into the control model. The error transferrin

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35

Yang, G., I. M. Chen, W. Chen, and W. Lin. "Kinematic Design of a Six-DOF Parallel-Kinematics Machine With Decoupled-Motion Architecture." IEEE Transactions on Robotics 20, no. 5 (2004): 876–84. http://dx.doi.org/10.1109/tro.2004.829485.

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36

Pashkevich, A., D. Chablat, and P. Wenger. "Kinematics and workspace analysis of a three-axis parallel manipulator: the Orthoglide." Robotica 24, no. 1 (2005): 39–49. http://dx.doi.org/10.1017/s0263574704000347.

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The paper addresses kinematic and geometrical aspects of the Orthoglide, a three-DOF parallel mechanism. This machine consists of three fixed linear joints, which are mounted orthogonally, three identical legs and a mobile platform, which moves in the Cartesian x-y-z space with fixed orientation. New solutions to solve inverse/direct kinematics are proposed, and we perform a detailed workspace and singularity analysis, taking into account specific joint limit constraints.

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37

Callegari, Massimo, Luca Carbonari, Giacomo Palmieri, Matteo-Claudio Palpacelli, and Donatello Tina. "Position Control of a 3-CPU Spherical Parallel Manipulator." Journal of Control Science and Engineering 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/136841.

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The paper presents the first experimental results on the control of a prototypal robot designed for the orientation of parts or tools. The innovative machine is a spherical parallel manipulator actuated by 3 linear motors; several position control schemes have been tested and compared with the final aim of designing an interaction controller. The relative simplicity of machine kinematics allowed to test algorithms requiring the closed-loop evaluation of both inverse and direct kinematics; the compensation of gravitational terms has been experimented as well.

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38

Nurakhmetov, Baurzhan, Kuanyshbek Sartayev, and Zhanat Myrzageldiyeva. "Direct and inverse kinematic problems of tripod-type parallel manipulator." Mechanics 25, no. 5 (2019): 391–96. http://dx.doi.org/10.5755/j01.mech.25.5.19523.

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The purpose of the work is to study the structural features of the tripod-type parallel manipulator as well as to solve direct and inverse kinematic problems for such a manipulator. The developed algorithms and computer-generated programs for synthesis and analysis of the tripod-type parallel manipulator are useful for designing spatial mechanisms with parallel kinematics with many degrees of freedom, with an arbitrary number of edges and an arbitrary arrangement of segments with different kinematic pairs that can be used in many ways. For example, the foregoing can be used in machine processi

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39

Akmaev, O. K., B. A. Enikeev, and A. I. Nigmatullin. "Static Stiffness Modeling of Parallel Kinematics Machine Tool Joints." Journal of Engineering Science and Technology Review 8, no. 6 (2015): 1–5. http://dx.doi.org/10.25103/jestr.086.01.

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40

ICHIRYU, Ken, Zenkoh YAMAGUCHI, and KOGA. "DEVELOPMENT OF CNC BENDING MACHINE USING PARALLEL KINEMATICS MECHANISM." Proceedings of the JFPS International Symposium on Fluid Power 2005, no. 6 (2005): 85–88. http://dx.doi.org/10.5739/isfp.2005.85.

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41

Shelepko, Olha, Andriy Kyrychenko та Andriy Нrechka. "Еxperimental Determination of Stiffness of Pentapod Parallel Kinematics Machine". Collected Works of Kirovohrad National Technical University. Machinery in Agricultural Production, Industry Machine Building, Automation, № 31 (2018): 104–10. http://dx.doi.org/10.32515/2409-9392.2018.31.104-110.

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42

Pandilov, Zoran. "Dominant types of errors at parallel kinematics machine tools." FME Transaction 45, no. 4 (2017): 491–95. http://dx.doi.org/10.5937/fmet1704491p.

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Valášek, Michael, and Zbyněk Šika. "Redundantly Actuated Parallel Kinematics - New Concept for Machine Tools." IFAC Proceedings Volumes 33, no. 26 (2000): 235–40. http://dx.doi.org/10.1016/s1474-6670(17)39150-4.

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OIWA, Takaaki. "Application of Parallel Kinematics Mechanisms to Cooridinate Measuring Machine." Journal of the Japan Society for Precision Engineering 71, no. 12 (2005): 1513–18. http://dx.doi.org/10.2493/jjspe.71.1513.

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Chen, Wen Jia, and Lan Lei Zhao. "A New 2T-2R Hybrid Parallel Manipulator." Advanced Materials Research 328-330 (September 2011): 1743–46. http://dx.doi.org/10.4028/www.scientific.net/amr.328-330.1743.

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Though computer technology has brought about virtual manufacturing to expedite design and analysis through simulation and visualization, machines remain essential, as ultimately products need to be made. There is a need for equipment providing more than three degrees of freedom (DOF) arranged in parallel and based on simpler arrangements than 6-DOF arrangements in application. This paper presents a new 4-DOF hybrid parallel platform manipulator with ﬁxed-leg lengths and base mounted prismatic actuators. The movable platform of the manipulator can translate along two directions and rotate aroun

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Fang, X. F., Y. H. Tong, R. Y. Zhao, S. W. Zhang, Tong Yue Wang, and Yuan Wei Liu. "Algorithm for the Inverse Kinematics Calculation of Cross Rods Parallel Machine Tools Based on Lie-Algebras." Materials Science Forum 697-698 (September 2011): 282–87. http://dx.doi.org/10.4028/www.scientific.net/msf.697-698.282.

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In order to solve the problems that traditional kinematics model built by the method of D-H parameters can only reflect relative movements between adjacent components and can't express directly the spatial poses of every component relative to static platform, Lie-algebras is used this paper to establish the product of exponential formula of forward direct kinematics of every branch chains. The elimination method and Paden - kahan sub-problems are used to calculate joint variables. Then the quick and intuitive inverse algorithm of cross rods parallel machine tools is acquired. The algorithm pro

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Karimi, Davoud, and Mohammad Javad Nategh. "A Statistical Approach to the Forward Kinematics Nonlinearity Analysis of Gough-Stewart Mechanism." Journal of Applied Mathematics 2011 (2011): 1–17. http://dx.doi.org/10.1155/2011/393072.

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Both the forward and backward kinematics of the Gough-Stewart mechanism exhibit nonlinear behavior. It is critically important to take account of this nonlinearity in some applications such as path control in parallel kinematics machine tools. The nonlinearity of inverse kinematics is straightforward and has been first studied in this paper. However the nonlinearity of forward kinematics is more challenging to be considered as there is no analytic solution to the forward kinematic solution of the mechanism. A statistical approach including the Bates and Watts measures of nonlinearity has been

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Guo, Jian Ye, Zhong Qi Sheng, and Liang Zhao. "The Error Compensation Strategy of 3-TPT Parallel Machine Tool Based on Semi-Closed Loop Control." Advanced Materials Research 321 (August 2011): 176–79. http://dx.doi.org/10.4028/www.scientific.net/amr.321.176.

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This paper took a kind of 3-TPT Parallel Machine Tool (PMT) as the object of research; it mainly introduced the process of establishing the compensation strategy for this PMT. Firstly the kinematics equation of this PMT was established on the basis of kinematics analysis, the results showed that the kinematics equation of this PMT have characteristics that are simple calculation, explicit expression and unique solution. Then according to the structural characteristics and the results of kinematics analysis, the error compensation strategy of feedback correction type with the semi-closed loop c

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Zhao, Heng Hua, and Chuan Qiang Wang. "Study on Kinematics Simulation of 3-TPT Parallel Machine Tool Based on Pro/E." Advanced Materials Research 199-200 (February 2011): 1555–59. http://dx.doi.org/10.4028/www.scientific.net/amr.199-200.1555.

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The machinery composition and working principle of 3-TPT parallel machine tool were analyzed. The three dimensional solid models of components of 3-TPT parallel machine tool were designed by using Pro/E. The virtual assembly and connection of the machine tool were accomplished in the assembly environment of Pro/E. Besides, the three-dimensional motion simulation of mechanism about the machine tool was researched in the mechanism module of Pro/E. The three-dimensional animation achieved by the simulation has the strong sense of reality. The working principle of the parallel machine tool was ver

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Oiwa, Takaaki. "Error Compensation System for Joints, Links and Machine Frame of Parallel Kinematics Machines." International Journal of Robotics Research 24, no. 12 (2005): 1087–102. http://dx.doi.org/10.1177/0278364905060149.

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