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1

Knapp, W., and S. Weikert. "Testing the Contouring Performance in 6 Degrees of Freedom." CIRP Annals 48, no. 1 (1999): 433–36. http://dx.doi.org/10.1016/s0007-8506(07)63220-x.

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2

Fossen, Thor I., and Ola-Erik Fjellstad. "Nonlinear modelling of marine vehicles in 6 degrees of freedom." Mathematical Modelling of Systems 1, no. 1 (1995): 17–27. http://dx.doi.org/10.1080/13873959508837004.

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3

Reddy, B. Nithin. "Mechanical Design and Analysis of Six-Degree-of-Freedom (6-DOF) SCARA Robot for Industrial Applications." International Journal for Research in Applied Science and Engineering Technology 12, no. 4 (2024): 6080–87. http://dx.doi.org/10.22214/ijraset.2024.59008.

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Abstract: A six-degree-of-freedom (6-DOF) SCARA robot is an advanced robotic system capable of moving and manipulating objects in a three-dimensional space with a high degree of precision and flexibility. The term "SCARA" stands for "Selective Compliance Articulated Robot Arm," indicating its design that allows a combination of rigidity and compliance along specific axes. This unique combination of features makes 6-DOF SCARA robots highly versatile and suitable for a wide range of industrial applications. Unlike traditional SCARA robots that typically have four degrees of freedom, the addition
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4

Babarit, Aurélien, and Moran Charlou. "A Method for Forcing a Number of Motions or Rotations in 6 Degrees of Freedom Ship Simulators." Journal of Sailing Technology 8, no. 01 (2023): 255–75. http://dx.doi.org/10.5957/jst/2023.8.13.255.

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In this paper, a method is introduced which enables the forcing of any degrees of freedom in 6 DoFs ship simulator. It is based on the introduction of an extra force in the equation of motion of the ship and on the forcing of the second derivatives of the forced degrees of freedom rather than the forced degrees of freedom themselves. The method is explicit which makes it easy to implement in existing software. Examples of its application to oblique towing tests and forced heading in wind and waves are presented.
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5

von Clarmann, T., and U. Grabowski. "Elimination of hidden a priori information from remotely sensed profile data." Atmospheric Chemistry and Physics Discussions 6, no. 4 (2006): 6723–51. http://dx.doi.org/10.5194/acpd-6-6723-2006.

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Abstract. Profiles of atmospheric state parameters retrieved from remote measurements often contain a priori information which causes complication in the use of data for validation, comparison with models, or data assimilation. For such applications it often is desirable to remove the a priori information from the data product. If the retrieval involves an ill-posed inversion problem, formal removal of the a priori information requires resampling of the data on a coarser grid, which, however, is a prior constraint in itself. The fact that the trace of the averaging kernel matrix of a retrieval
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6

Khurtasenko, A. V., K. V. Chuev, and L. A. Rybak. "Dynamic model of a robotic platform with 6 degrees of freedom." Journal of Physics: Conference Series 2176, no. 1 (2022): 012024. http://dx.doi.org/10.1088/1742-6596/2176/1/012024.

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Abstract The paper presents the study of kinematic and dynamic characteristics of the robotic mobility platform (RMP) to determine inertia-force parameters depending on the nature of the implemented motion path. The method is implemented on the basis of parameterized digital simulation models with parallel kinematics, which allow determining acceleration and force response in the joints of structural components at given geometric parameters of the platform design.
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7

Csiszar, Akos, and Cornel Brisan. "Workspace Analysis of the 6 Degrees of Freedom PARTNER Parallel Robot." Solid State Phenomena 166-167 (September 2010): 155–60. http://dx.doi.org/10.4028/www.scientific.net/ssp.166-167.155.

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This paper presents a modular method to compute the workspace of parallel robot with 6 degrees of freedom. For the generation of the workspace also the mechanical constrains of both the active and passive joints are taken into consideration.
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8

Jeong, Sang-Ki, Hyeung-Sik Choi, Jung-Min Seo, Ngoc Huy Tran, and Joon-Young Kim. "Design and Control of 6 D.O.F(Degrees of Freedom) Hovering AUV." Journal of Institute of Control, Robotics and Systems 19, no. 9 (2013): 797–804. http://dx.doi.org/10.5302/j.icros.2013.13.9025.

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9

Zhu, Dequan, Tao Mei, and Lei Sun. "Fuzzy Immune PID Control for 6-Degrees of Freedom Parallel Platform." Advanced Science Letters 6, no. 1 (2012): 836–40. http://dx.doi.org/10.1166/asl.2012.2293.

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10

Sindersberger, Dirk, Andreas Diermeier, Nina Prem, and Gareth J. Monkman. "Printing of hybrid magneto active polymers with 6 degrees of freedom." Materials Today Communications 15 (June 2018): 269–74. http://dx.doi.org/10.1016/j.mtcomm.2018.02.032.

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11

Yan, Hao, Hsien-Chi Yeh, and Qiuli Mao. "High precision six-degree-of-freedom interferometer for test mass readout." Classical and Quantum Gravity 39, no. 7 (2022): 075024. http://dx.doi.org/10.1088/1361-6382/ac5923.

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Abstract High precision six-degree-of-freedom sensing plays an important role in future gravitational space missions. In gravitational or geodesy missions, measurements of all six degrees of freedom of freely floating test mass are required for reducing the cross-coupling noise, which is frequently an important limiting factor in the performance. Interferometry and capacitive sensing have been successfully combined in LISA pathfinder to achieve six degrees of freedom measurements. In this paper, we report a six-degree-of-freedom interferometer system based on multiplex differential wavefront s
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12

Oka, Makoto. "Roles of quark degrees of freedom in hypernuclei." Nuclear Physics A 629, no. 1-2 (1998): 379–87. http://dx.doi.org/10.1016/s0375-9474(97)00713-6.

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13

Grewe, N. "The Anderson lattice with elastic degrees of freedom." Journal of Magnetism and Magnetic Materials 47-48 (February 1985): 20–22. http://dx.doi.org/10.1016/0304-8853(85)90347-6.

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14

Karger, A. "Classification of Serial Robot-Manipulators with Nonremovable Singularities." Journal of Mechanical Design 118, no. 2 (1996): 202–8. http://dx.doi.org/10.1115/1.2826870.

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In this paper we discuss singular configurations of serial robot-manipulators with respect to their removability. A removable singularity is a singularity which can be removed from a motion of the end-effector by a small change of the motion. The most interesting situation appears for robot-manipulators with 5 degrees of freedom, because the case of 4 degrees of freedom is easy and singular configurations of robot-manipulators with 6 degrees of freedom are nonremovable. In the paper we give the complete list of all 5R robot-manipulators which have nonremovable singularities. The image of the s
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15

Ricken, Annieck X. C., Geert J. P. Savelsbergh, and Simon J. Bennett. "Coordinating degrees of freedom during interceptive actions in children." Experimental Brain Research 156, no. 4 (2004): 415–21. http://dx.doi.org/10.1007/s00221-003-1797-6.

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16

Ogbobe, P. O., C. N. Okoye, and N. S. Akonyi. "Cross coupling effects of modal space decoupling control for six degree of freedom 6-DOF parallel mechanism (6 DOF PM)." Nigerian Journal of Technology 41, no. 2 (2022): 229–35. http://dx.doi.org/10.4314/njt.v41i2.4.

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This study presented the performance of an alternative and effective control strategy through a decoupled controller by an input and an output transformation matrix, such that each Degrees of Freedom can be tuned independently with their bandwidth raised near to the eigenfrequencies. The simulation results of the Modal Space Decoupled Controller were analyzed in Matlab/Simulink environment and comparison made between the conventional PID controllers based on cross coupling effects. The results indicate that the conventional joint space conforms to the theoretical analysis when the compensation
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17

Chan, Maria F., Seng-Boh Lim, Xiang Li, Xiaoli Tang, Peng Zhang, and Chengyu Shi. "Commissioning and Evaluation of a Third-Party 6 Degrees-of-Freedom Couch Used in Radiotherapy." Technology in Cancer Research & Treatment 18 (January 1, 2019): 153303381987077. http://dx.doi.org/10.1177/1533033819870778.

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Purposes: The newly released Protura 6 degrees-of-freedom couch (CIVCO) has limited quality assurance protocols and pertinent publications. Herein, we report our experiences of the Protura system acceptance, commissioning, and quality assurance. Methods: The Protura system integration was tested with peripheral equipment on the following items: couch movement range limit, 6 degrees-of-freedom movement accuracy, weight test and couch sagging, system connection with Linac, isocentricity of couch and rotation alignment, kV and cone-beam computed tomography imaging of HexaCHECK with MIMI phantom (
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18

Liu, Xiang Ming, and Hong Yi Yan. "Dynamic Analysis of 6-DOF Large Displacement Composite Simulation Platform." Applied Mechanics and Materials 233 (November 2012): 181–85. http://dx.doi.org/10.4028/www.scientific.net/amm.233.181.

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For the problem of Typical Stewart Platform with small workspace and poor flexibility, the paper proposed a new 6-DOF simulator platform. The simulator platform compounds the three-bar parallel mechanism with moving degrees of freedom and the three-axis turntable with rotating degrees of freedom, it can repeat any attitude of 6-DOF in space. Effectively solve the problem of Typical Stewart Platform with small workspace and poor flexibility. Using Lagrange equation establish dynamic equation of the simulator platform, and using MATLAB in-depth analysis its dynamics. It can provide a reference f
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19

P., O. Ogbobe, and N. Okoye C. "Analysis of coupling effects on hydraulic controlled 6 degrees of freedom parallel manipulator." Global Journal of Engineering and Technology Advances 10, no. 3 (2022): 026–31. https://doi.org/10.5281/zenodo.6402357.

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This paper presents an analysis of the coupling effects between degrees of freedom of a hydraulic controlled six DOF parallel manipulator. Based on the singular value decomposition to the properties of its joint space inverse mass matrix, the method is put forward to analyze coupling effects between degrees of freedom using a transformation matrix, the product of transposed Jabobian matrix and an orthogonal unitary matrix, of which each element represents decoupled modal space coordinates with respect to physical task space frame. The simulation results in frequency domain prove the theoretica
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20

Yoneda, Kan. "Reduced Degrees of Freedom Configuration of Six-legged Robot." Journal of the Robotics Society of Japan 33, no. 2 (2015): 124–32. http://dx.doi.org/10.7210/jrsj.33.124.

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21

Jha, Sachchidanand. "Modelling and Control of 6- Degrees of Freedom movement Using Fuzzy Logic." INTERANTIONAL JOURNAL OF SCIENTIFIC RESEARCH IN ENGINEERING AND MANAGEMENT 08, no. 07 (2024): 1–6. http://dx.doi.org/10.55041/ijsrem36298.

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After the 20 th century, the automotive industry is experiencing significant growth. This paper presents the design of a robotic arm capable of emulating the dexterity of the human hand, facilitating object manipulation in laboratory, industrial, or hazardous environments with 6 degrees of freedom (6-DOF). To analyse torque characteristics, a humanoid robot arm model is employed, simulating tasks such as lifting and transferring the objects. Current robotic hands often lack full hand functionality, limiting their use in environments tailored for human interaction. Acquiring high reliability tr
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22

Nagle, M. G., M. V. Srinivasan, and D. L. Wilson. "Image interpolation technique for measurement of egomotion in 6 degrees of freedom." Journal of the Optical Society of America A 14, no. 12 (1997): 3233. http://dx.doi.org/10.1364/josaa.14.003233.

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23

Guan, Guang-feng, and AR Plummer. "Acceleration decoupling control of 6 degrees of freedom electro-hydraulic shaking table." Journal of Vibration and Control 25, no. 21-22 (2019): 2758–68. http://dx.doi.org/10.1177/1077546319870620.

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Electro-hydraulic shaking tables are widely used for vibration testing where high force and displacement amplitudes are required. In particular, they are a vital tool in seismic testing, enabling the development of buildings and other structures which are earthquake resistant. Three-variable-control (TVC) is commonly used for the control of multi-degrees of freedom (DOFs) electro-hydraulic shaking tables. However, the coupling between the DOFs is often significant and is not compensated by TVC. In this paper, an acceleration decoupling control (ADC) method is presented for a 6 DOFs electro-hyd
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24

Lassila, D. H., M. M. LeBlanc, and J. N. Florando. "Zinc Single-Crystal Deformation Experiments Using a “6 Degrees of Freedom” Apparatus." Metallurgical and Materials Transactions A 38, no. 9 (2007): 2024–32. http://dx.doi.org/10.1007/s11661-007-9202-x.

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25

Cruz-Barrios, S., and J. Gómez-Camacho. "Semiclassical description of scattering with internal degrees of freedom." Nuclear Physics A 636, no. 1 (1998): 70–84. http://dx.doi.org/10.1016/s0375-9474(98)00176-6.

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26

Bergan, P. G., and C. A. Felippa. "A triangular membrane element with rotational degrees of freedom." Computer Methods in Applied Mechanics and Engineering 50, no. 1 (1985): 25–69. http://dx.doi.org/10.1016/0045-7825(85)90113-6.

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27

Shay, Byron, Ted Hubbard, and Marek Kujath. "Planar frictional micro-conveyors with two degrees of freedom." Journal of Micromechanics and Microengineering 18, no. 6 (2008): 065009. http://dx.doi.org/10.1088/0960-1317/18/6/065009.

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28

P. O. Ogbobe and C. N. Okoye. "Analysis of coupling effects on hydraulic controlled 6 degrees of freedom parallel manipulator." Global Journal of Engineering and Technology Advances 10, no. 3 (2022): 026–31. http://dx.doi.org/10.30574/gjeta.2022.10.3.0051.

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This paper presents an analysis of the coupling effects between degrees of freedom of a hydraulic controlled six DOF parallel manipulator. Based on the singular value decomposition to the properties of its joint space inverse mass matrix, the method is put forward to analyze coupling effects between degrees of freedom using a transformation matrix, the product of transposed Jabobian matrix and an orthogonal unitary matrix, of which each element represents decoupled modal space coordinates with respect to physical task space frame. The simulation results in frequency domain prove the theoretica
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29

SASAKI, Yuji, and Kan YONEDA. "2A2-O07 Development of nine degrees of freedom Hexapod." Proceedings of JSME annual Conference on Robotics and Mechatronics (Robomec) 2015 (2015): _2A2—O07_1—_2A2—O07_2. http://dx.doi.org/10.1299/jsmermd.2015._2a2-o07_1.

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30

Gupta, Arjun K., Solomon W. Harrar, and Yasunori Fujikoshi. "MANOVA for large hypothesis degrees of freedom under non-normality." TEST 17, no. 1 (2007): 120–37. http://dx.doi.org/10.1007/s11749-006-0026-6.

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31

Joshi, Sameer A., and Lung-Wen Tsai. "Jacobian Analysis of Limited-DOF Parallel Manipulators." Journal of Mechanical Design 124, no. 2 (2002): 254–58. http://dx.doi.org/10.1115/1.1469549.

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This paper presents a methodology for the Jacobian analysis of limited degrees-of-freedom (DOF) parallel manipulators. A limited-DOF parallel manipulator is a spatial parallel manipulator which has less than six degrees-of-freedom. It is shown that a 6×6 Jacobian matrix, which provides information about both architecture and constraint singularities, can be derived by making use of the theory of reciprocal screws. The 3-UPU and 3-RPS parallel manipulators are used as examples to demonstrate the methodology.
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32

Vaida, Calin, Nicolae Plitea, Dorin Lese, and Doina Liana Pisla. "A Parallel Reconfigurable Robot with Six Degrees of Freedom." Applied Mechanics and Materials 162 (March 2012): 204–13. http://dx.doi.org/10.4028/www.scientific.net/amm.162.204.

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Shorter development times, wide variety of products and manufacturing costs optimization lead towards the development of a new type of robots that are more flexible and adaptable to all these changes. The idea of reconfiguration is thus born, many studies being focused on enlarging and improving this concept. Reconfigurable robotic systems are those that can change their geometry, their mobility degree and be default, their workspace and their applicability. This paper presents a 6 degrees of freedom (DOF) reconfigurable robot, entitled RECROB, its kinematics and possible reconfigurations with
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33

Uchiyama, Masaru. "A Compact Six Degrees-of-Freedom Haptic Interface." Reference Collection of Annual Meeting 2004.8 (2004): 417–18. http://dx.doi.org/10.1299/jsmemecjsm.2004.8.0_417.

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34

Blixt, Daniel, Manuel Hohmann, and Christian Pfeifer. "On the Gauge Fixing in the Hamiltonian Analysis of General Teleparallel Theories." Universe 5, no. 6 (2019): 143. http://dx.doi.org/10.3390/universe5060143.

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The covariant formulation of teleparallel gravity theories must include the spin connection, which has 6 degrees of freedom. One can, however, always choose a gauge such that the spin connection is put to zero. In principle this gauge may affect counting of degrees of freedom in the Hamiltonian analysis. We show for general teleparallel theories of gravity, that fixing the gauge such that the spin connection vanishes in fact does not affect the counting of degrees of freedom. This manifests in the fact that the momenta of the Lorentz transformations which generate the spin connection are fully
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35

Miškinis, P. "ON THE POSSIBLE EXISTENCE OF NEW FERMIONIC DEGREES OF FREEDOM IN D = 6." Mathematical Modelling and Analysis 8, no. 2 (2003): 155–64. http://dx.doi.org/10.3846/13926292.2003.9637220.

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The bispinors formed by quaternion in D = 6 dimensional space‐time are proposed to be treated as new fermionic fields. The gauge nonabelian field is formulated by the quaternions. A new kind of physical object, an extended relativistic quaternionic membrane in D = 6, is discussed.
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36

Cannata, F., and M. Ioffe. "Exactly solvable three-body systems with internal degrees of freedom." Journal of Physics A: Mathematical and General 34, no. 6 (2001): 1129–39. http://dx.doi.org/10.1088/0305-4470/34/6/305.

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37

Providencia, J. da, C. Fiolhais, and M. Brajczewska. "Collective and intrinsic degrees of freedom in the Heisenberg ferromagnet." Journal of Physics A: Mathematical and General 22, no. 6 (1989): 703–15. http://dx.doi.org/10.1088/0305-4470/22/6/021.

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38

Simon, David S., and Alexander V. Sergienko. "High-capacity quantum key distribution via hyperentangled degrees of freedom." New Journal of Physics 16, no. 6 (2014): 063052. http://dx.doi.org/10.1088/1367-2630/16/6/063052.

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39

Takeuchi, S., K. Shimizu, and K. Yazaki. "The effect of quark degrees of freedom on nuclear properties." Nuclear Physics A 449, no. 4 (1986): 617–34. http://dx.doi.org/10.1016/0375-9474(86)90324-6.

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40

Araki, Motoki, Naoya Umeda, Hirotada Hashimoto, and Akihiko Matsuda. "An Improvement of Broaching Prediction with a Nonlinear 6 Degrees of Freedom Model." Journal of the Japan Society of Naval Architects and Ocean Engineers 14 (2011): 85–96. http://dx.doi.org/10.2534/jjasnaoe.14.85.

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41

Martelli, Michele, Michele Viviani, Marco Altosole, Massimo Figari, and Stefano Vignolo. "Numerical modelling of propulsion, control and ship motions in 6 degrees of freedom." Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment 228, no. 4 (2014): 373–97. http://dx.doi.org/10.1177/1475090214544181.

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42

Gordon, Adam M., Eric Perez, and Kanu S. Goyal. "Using 6 Degrees of Freedom to Systematically Reduce and Fix Distal Radius Fractures." Techniques in Hand & Upper Extremity Surgery 24, no. 4 (2020): 207–15. http://dx.doi.org/10.1097/bth.0000000000000287.

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43

Urrea, Claudio, Juan Cortés, and José Pascal. "Design, construction and control of a SCARA manipulator with 6 degrees of freedom." Journal of Applied Research and Technology 14, no. 6 (2016): 396–404. http://dx.doi.org/10.1016/j.jart.2016.09.005.

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44

Sarkar, V., V. J. Gonzalez, J. Hinkle, et al. "Dosimetric Evaluation of an Alternative to 6 Degrees of Freedom Robotic Couch Correction." International Journal of Radiation Oncology*Biology*Physics 78, no. 3 (2010): S95. http://dx.doi.org/10.1016/j.ijrobp.2010.07.251.

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45

HENMI, Nobuhiko. "A Six-degrees of Freedom Fine Motion Mechanism (3rd Report)." Journal of the Japan Society for Precision Engineering 59, no. 6 (1993): 1001–6. http://dx.doi.org/10.2493/jjspe.59.1001.

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46

SASAKI, Yuji, and Kan YONEDA. "Degrees of Freedom Arrangement of Tri-Frame Six-legged Robot." Proceedings of JSME annual Conference on Robotics and Mechatronics (Robomec) 2016 (2016): 1A2–06b2. http://dx.doi.org/10.1299/jsmermd.2016.1a2-06b2.

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47

Behzadipour, Saeed, and Amir Khajepour. "A New Cable-Based Parallel Robot with Three Degrees of Freedom." Multibody System Dynamics 13, no. 4 (2005): 371–83. http://dx.doi.org/10.1007/s11044-005-3985-6.

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48

Wang, An-Ping. "A quadrilateral membrane hybrid stress element with drilling degrees of freedom." Acta Mechanica Sinica 28, no. 5 (2012): 1367–73. http://dx.doi.org/10.1007/s10409-012-0087-6.

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49

Niitsu, Satoshi, Ryosuke Tamura, Ryoya Kamata, Hiroshi Kawaharada, and Hiroyuki Hiraoka. "109 Development of a mouse-type haptic device with 1 degree of freedom used for remote controlled assembly operation in 6 degrees of freedom." Proceedings of Manufacturing Systems Division Conference 2013 (2013): 47–48. http://dx.doi.org/10.1299/jsmemsd.2013.47.

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50

Kung, Joseph S., William T. Tran, Ian Poon, et al. "Evaluation of the Efficacy of Rotational Corrections for Standard-Fractionation Head and Neck Image-Guided Radiotherapy." Technology in Cancer Research & Treatment 18 (January 1, 2019): 153303381985382. http://dx.doi.org/10.1177/1533033819853824.

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Purpose: Modern linear accelerators are equipped with cone beam computed tomography and robotic couches that can correct for errors in the translational (X, Y, Z) and rotational (α, β, γ) axes prior to treatment delivery. Here, we compared the positional accuracy of 2 cone beam registration approaches: (1) employing translational shifts only in 3 degrees of freedom (X, Y, Z), versus; (2) using translational-rotational shifts in 6 degrees of freedom (X, Y, Z, α, β, γ). Methods: This retrospective study examined 140 interfraction cone beam images from 20 patients with head and neck cancer treate
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