Relevant bibliographies by topics / Rotating coordinate system

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Rotating coordinate system'

Author: Grafiati
Published: 4 June 2025
Last updated: 23 June 2025

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Journal articles on the topic "Rotating coordinate system"

1

Zel'dovich, Ya B., L. V. Rozhanskii, and A. A. Starobinskii. "Rotating bodies and electrodynamics in a rotating coordinate system." Radiophysics and Quantum Electronics 29, no. 9 (1986): 761–68. http://dx.doi.org/10.1007/bf01034472.

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Liu, Yan, Zhendong Ge, Yingtao Yuan, et al. "Study of the Error Caused by Camera Movement for the Stereo-Vision System." Applied Sciences 11, no. 20 (2021): 9384. http://dx.doi.org/10.3390/app11209384.

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The stereo-vision system plays an increasingly important role in various fields of research and applications. However, inevitable slight movements of cameras under harsh working conditions can significantly influence the 3D measurement accuracy. This paper focuses on the effect of camera movements on the stereo-vision 3D measurement. The camera movements are divided into four categories, viz., identical translations and rotations, relative translation and rotation. The error models of 3D coordinate and distance measurement are established. Experiments were performed to validate the mathematical models. The results show that the 3D coordinate error caused by identical translations increases linearly with the change in the positions of both cameras, but the distance measurement is not affected. For identical rotations, the 3D coordinate error introduced only in the rotating plane is proportional to the rotation angle within 10° while the distance error is zero. For relative translation, both coordinate and distance errors keep linearly increasing with the change in the relative positions. For relative rotation, the relationship between 3D coordinate error and rotation angle can be described as the nonlinear trend similar to a sine-cosine curve. The impact of the relative rotation angle on distance measurement accuracy does not increase monotonically. The relative rotation is the main factor compared to other cases. Even for the occurrence of a rotation angle of 10°, the resultant maximum coordinate error is up to 2000 mm, and the distance error reaches 220%. The results presented are recommended as practice guidelines to reduce the measurement errors.
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Hou, Yanli, Xianyu Su, and Wenjing Chen. "Alignment Method of an Axis Based on Camera Calibration in a Rotating Optical Measurement System." Applied Sciences 10, no. 19 (2020): 6962. http://dx.doi.org/10.3390/app10196962.

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The alignment problem of a rotating optical measurement system composed of a charge-coupled device (CCD) camera and a turntable is discussed. The motion trajectory model of the optical center (or projection center in the computer vision) of a camera rotating with the rotating device is established. A method based on camera calibration with a two-dimensional target is proposed to calculate the positions of the optical center when the camera is rotated by the turntable. An auxiliary coordinate system is introduced to adjust the external parameter matrix of the camera to map the optical centers on a special fictitious plane. The center of the turntable and the distance between the optical center and the rotation center can be accurately calculated by the least square planar circle fitting method. Lastly, the coordinates of the rotation center and the optical centers are used to provide guidance for the installation of a camera in a rotation measurement system. Simulations and experiments verify the feasibility of the proposed method.
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Mou, Qishan. "A candle in a rotating coordinate system." Physics Teacher 35, no. 9 (1997): 542–43. http://dx.doi.org/10.1119/1.2344801.

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Zhu, Yuanchao, Dazhao Zhang, Yanlin Lai, and Huabiao Yan. "Shape adjustment of "FAST" active reflector." Highlights in Science, Engineering and Technology 1 (June 14, 2022): 391–400. http://dx.doi.org/10.54097/hset.v1i.493.

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Abstract. In this paper, the relevant working principle of "FAST" Chinese Eye is studied, and a mathematical model is established to solve the equation of the ideal paraboloid. The ideal paraboloid model is obtained by rotating the paraboloid around the axis in the two-dimensional plane. On this basis, the specific solutions of each question are discussed, and the parabolic equation, the receiving ratio of the feed cabin to the reflected signal, the numbering information and coordinates of the main cable node and other parameters are obtained. This paper for solving directly above the benchmark of spherical observation of celestial bodies when ideal parabolic equation, according to the geometrical optics to knowledge should be clear all the signals of the incoming signal after the ideal parabolic will converge to the focal point of basic rules, then through converting ideal parabolic model of ideal parabolic equation in a two-dimensional plane, An optimization model was established to minimize the absolute value of the difference between the arc length and the arc length of the parabola in the diameter of 300 meters. The known conditions were substituted into Matlab to solve the equation of the ideal parabola by rotating the parabola around the axis: . In order to determine the ideal paraboloid of the celestial body, a new spatial cartesian coordinate system is first established with the line direction between the celestial body and the spherical center as the axis, so that the observed object is located directly above the new coordinate system. The same model in question 1 is established to obtain the vertex coordinates of the ideal paraboloid at this time. Then the vertex coordinates are converted to the coordinates in the original space cartesian coordinate system by rotation transformation between space cartesian coordinate systems. The solution of its vertex coordinates (-49.5287, -37.0203, -294.1763).
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Kazachkov, Ivan. "Modeling of the Flow due to Double Rotations Causing Phenomenon of Negative Pressure." WSEAS TRANSACTIONS ON FLUID MECHANICS 18 (December 31, 2023): 259–71. http://dx.doi.org/10.37394/232013.2023.18.25.

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This paper is devoted to mathematical modeling and computational experiments of a flow with negative pressure. A previously unknown class of fluid flow under the action of counter-current centrifugal forces is in focus. Volumetric forces in a non-conducting fluid can arise from gravity, vibrations, or rotations. In this paper, we consider controlled variable volumetric forces in a system with two rotations around the vertical axis and the tangential axis of a horizontal disk rotating around the vertical axis. The study of the coordinate system during double rotation showed that the double rotation about two perpendicular axes, one of which moves along a tangential direction to the rotating horizontal disk, is equal to the rotation around the oscillating axis inclined at some angle to the vertical axis.
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Klier, Eliana M., Hongying Wang, and J. Douglas Crawford. "Interstitial Nucleus of Cajal Encodes Three-Dimensional Head Orientations in Fick-Like Coordinates." Journal of Neurophysiology 97, no. 1 (2007): 604–17. http://dx.doi.org/10.1152/jn.00379.2006.

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Two central, related questions in motor control are 1) how the brain represents movement directions of various effectors like the eyes and head and 2) how it constrains their redundant degrees of freedom. The interstitial nucleus of Cajal (INC) integrates velocity commands from the gaze control system into position signals for three-dimensional eye and head posture. It has been shown that the right INC encodes clockwise (CW)-up and CW-down eye and head components, whereas the left INC encodes counterclockwise (CCW)-up and CCW-down components, similar to the sensitivity directions of the vertical semicircular canals. For the eyes, these canal-like coordinates align with Listing’s plane (a behavioral strategy limiting torsion about the gaze axis). By analogy, we predicted that the INC also encodes head orientation in canal-like coordinates, but instead, aligned with the coordinate axes for the Fick strategy (which constrains head torsion). Unilateral stimulation (50 μA, 300 Hz, 200 ms) evoked CW head rotations from the right INC and CCW rotations from the left INC, with variable vertical components. The observed axes of head rotation were consistent with a canal-like coordinate system. Moreover, as predicted, these axes remained fixed in the head, rotating with initial head orientation like the horizontal and torsional axes of a Fick coordinate system. This suggests that the head is ordinarily constrained to zero torsion in Fick coordinates by equally activating CW/CCW populations of neurons in the right/left INC. These data support a simple mechanism for controlling head orientation through the alignment of brain stem neural coordinates with natural behavioral constraints.
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Arjun, Tan. "From the Pear-shape of the Earth to a Tetrahedroid-shape of the Earth." APPLIED SCIENCE PERIODICAL XXVI, no. 4, November 2024 (2024): 15–23. https://doi.org/10.5281/zenodo.14802427.

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&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <em>The notion of the &lsquo;Pear-shape of the Earth&rsquo; is widely known to the public at large. However, a similar concept called the &lsquo;Tetrahedroid-shape of the Earth&rsquo;, is not. This concept was recently revived by Mentock, who argued that the tetrahedroid Earth was more appropriate than the pear-shaped Earth. In this study, we construct three model orientations of the tetrahedron within a circumscribed spherical Earth to see which orientation best locates the geoid highs with its four vertices. In the first model (Model A), one vertex is situated at the North Pole, a second on the Greenwich meridional plane and the two others at azimuthal angles of 120&deg; and 240&deg; respectively. Two other models are generated from Model A to better locate the vertices with the geoid highs. The method consists of converting the spherical coordinates of the vertices to rectangular coordinates; then rotating the coordinates system by a desired angle; and finally, converting the new rectangular coordinates back to the spherical coordinates. The origin of the rectangular coordinate system is at the center of the Earth, with z-axis pointing towards the North Star, the x-axis lying in the Greenwich meridional plane, and y-axis fixed by the right-hand rule. Model B is created by rotating the coordinate system about the y-axis counter-clockwise by -20&deg;; and Model C is created by rotating the coordinate system about the x-axis counter-clockwise by -20&deg;. The locations of the vertices in Models B and C show improved agreements with the geoid highs.</em>
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Fuh, Jon‐Shen, Brahmananda Panda, and David A. Peters. "Assembly of Finite‐Element Helicopter Subsystems with Large Relative Rotations." Journal of the American Helicopter Society 35, no. 2 (1990): 60–68. http://dx.doi.org/10.4050/jahs.35.60.

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A general finite‐element procedure is presented for modeling rotorcraft undergoing elastic deformations in addition to large rigid body motions with respect to inertial space. Special attention is given to the coupling of the rotor and fuselage subsystems subject to large relative rotations. Initially, the rotor and fuselage subsystems are assembled separately as small‐rotation finite‐element models in a moving coordinate system. In order to handle large rigid body rotations, the coordinate systems are tied to the structure using one of several alternate constraint methods. Finally, the equations which allow large rotations are constrained together using a rotating to nonrotating transformation which allows rotor azimuth angle as a degree of freedom. The resulting system of equations, which has not been implemented, is applicable to both helicopter trim and large angle maneuver analyses.
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Shabana, Ahmed A., and Aki M. Mikkola. "Use of the Finite Element Absolute Nodal Coordinate Formulation in Modeling Slope Discontinuity." Journal of Mechanical Design 125, no. 2 (2003): 342–50. http://dx.doi.org/10.1115/1.1564569.

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A large rigid body rotation of a finite element can be described by rotating the axes of the element coordinate system or by keeping the axes unchanged and change the slopes or the position vector gradients. In the first method, the definition of the local element parameters (spatial coordinates) changes with respect to a body or a global coordinate system. The use of this method will always lead to a nonlinear mass matrix and non-zero centrifugal and Coriolis forces. The second method, in which the axes of the element coordinate system do not rotate with respect to the body or the global coordinate system, leads to a constant mass matrix and zero centrifugal and Coriolis forces when the absolute nodal coordinate formulation is used. This important property remains in effect even in the case of flexible bodies with slope discontinuities. The concept employed to accomplish this goal resembles the concept of the intermediate element coordinate system previously adopted in the finite element floating frame of reference formulation. It is shown in this paper that the absolute nodal coordinate formulation that leads to exact representation of the rigid body dynamics can be effectively used in the analysis of complex structures with slope discontinuities. The analysis presented in this paper also demonstrates that objectivity is not an issue when the absolute nodal coordinate formulation is used due to the fact that this formulation automatically accounts for the proper coordinate transformations.
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Dissertations / Theses on the topic "Rotating coordinate system"

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Francis, Gerald. "An Algorithm and System for Measuring Impedance in D-Q Coordinates." Diss., Virginia Tech, 2010. http://hdl.handle.net/10919/26462.

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This dissertation presents work conducted at the Center for Power Electronics Systems (CPES) at Virginia Polytechnic Institute and State University. Chapter 1 introduces the concept of impedance measurement, and discusses previous work on this topic. This chapter also addresses issues associated with impedance measurement. Chapter 2 introduces the analyzer architecture and the proposed algorithm. The algorithm involves locking on to the voltage vector at the point of common coupling between the analyzer and the system via a PLL to establish a D-Q frame. A series of sweeps are performed, injecting at least two independent angles in the D-Q plane, acquiring D- and Q-axis voltages and currents for each axis of injection at the point of interest. Chapter 3 discusses the analyzer hardware and the criteria for selection. The hardware built ranges from large-scale power level hardware to communication hardware implementing a universal serial bus. An eight-layer PCB was constructed implementing analog signal conditioning and conversion to and from digital signals with high resolution. The PCB interfaces with the existing Universal Controller hardware. Chapter 4 discusses the analyzer software. Software was written in C++, VHDL, and Matlab to implement the measurement process. This chapter also provides a description of the software architecture and individual components. Chapter 5 discusses the application of the analyzer to various examples. A dynamic model of the analyzer is constructed, considering all components of the measurement system. Congruence with predicted results is demonstrated for three-phase balanced linear impedance networks, which can be directly derived based on stationary impedance measurements. Other impedances measured include a voltage source inverter, Vienna rectifier, six-pulse rectifier and an autotransformer-rectifier unit.<br>Ph. D.
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Mani, Saandeep. "In Vitro Biomechanical Characterization of Tibiofemoral Rotations and Translations Following Distal Bony Realignment." University of Akron / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=akron1280155331.

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Kennedy, Ian Douglas. "The transformation of one-dimensional and two-dimensional autoregressive random fields under coordinate scaling and rotation." Thesis, 2008. http://hdl.handle.net/10012/4110.

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A practical problem in computer graphics is that of representing a textured surface at arbitrary scales. I consider the underlying mathematical problem to be that of interpolating autoregressive random fields under arbitrary coordinate transformations. I examine the theoretical basis for the transformations that autoregressive parameters exhibit when the associated stationary random fields are scaled or rotated. The basic result is that the transform takes place in the continuous autocovariance domain, and that the spectral density and associated autoregressive parameters proceed directly from sampling the continuous autocovariance on a transformed grid. I show some real-world applications of these ideas, and explore how they allow us to interpolate into a random field. Along the way, I develop interesting ways to estimate simultaneous autoregressive parameters, to calculate the distorting effects of linear interpolation algorithms, and to interpolate random fields without altering their statistics.
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Books on the topic "Rotating coordinate system"

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Boucher, Claude, and George A. Wilkins. Earth Rotation and Coordinate Reference Frames: Edinburgh, Scotland, August 10-11 1989. Springer London, Limited, 2012.

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Book chapters on the topic "Rotating coordinate system"

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Greiner, Walter. "Newton’s Equations in a Rotating Coordinate System." In Classical Mechanics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03434-3_1.

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Greiner, Walter. "Newton’s Equations in a Rotating Coordinate System." In Classical Mechanics. Springer New York, 2002. http://dx.doi.org/10.1007/978-0-387-21543-3_1.

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Yong, Tao, Jing Liu, Wenxiao Li, Guanjian Yang, Mengyang Tang, and Yiru Miao. "Research on Low Order Harmonic Suppression of Motor Drive System under Two-Phase Rotating Coordinate Frame." In Lecture Notes in Electrical Engineering. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-0408-2_23.

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Matsushita, Osami, Masato Tanaka, Hiroshi Kanki, Masao Kobayashi, and Patrick Keogh. "Bridge Between Inertial and Rotational Coordinate Systems." In Vibrations of Rotating Machinery. Springer Japan, 2017. http://dx.doi.org/10.1007/978-4-431-55456-1_9.

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Zheng, Li, Haolun Peng, and Yi Liu. "Joint Calibration Based on Information Fusion of Lidar and Monocular Camera." In Proceeding of 2021 International Conference on Wireless Communications, Networking and Applications. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-2456-9_37.

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AbstractTo solve the problem of joint calibration in multi-sensor information fusion, a joint calibration technique based on three-dimensional lidar point cloud data and two-dimensional gray image data is proposed. Firstly, by extracting the corner information of the gray image data, the two-dimensional coordinates of the corner were obtained, and the calibration of the monocular camera was completed by using the corner information, and its internal and external parameters were obtained. Then, by extracting the corner information of the point cloud data obtained by lidar, the corresponding corner points are matched. Finally, the rotation and translation matrix from lidar coordinate system to image coordinate system is generated to realize the joint calibration of lidar and camera.
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Jordi, C., and G. Rossello. "Fluctuations of the Earth’s Rotation by Stellar Occultations." In Inertial Coordinate System on the Sky. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-0613-6_77.

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Arias, E. F., and M. Feissel. "The Celestial System of the International Earth Rotation Service." In Inertial Coordinate System on the Sky. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-0613-6_40.

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Gabloffsky, Theo, Alexander Hawlitschka, and Ralf Salomon. "The RRDS, an Improved Animal Experimentation System for More Animal Welfare and More Accurate Results." In Bildverarbeitung in der Automation. Springer Berlin Heidelberg, 2023. http://dx.doi.org/10.1007/978-3-662-66769-9_5.

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AbstractResearch of image recognition allows for improvements in animal welfare compliant and increase in data yield in animal experiments. One application for improvements are the so-called rotational tests with rats in Parkinson research. Here, the Rat Rotation Detection System (RRDS) frees the rat from the usually used breast belt while achieving similar results as the previous system, with a difference of 12.4 %. RRDS basically consists of an off-the-shelf camera combined with a YoloV4″​=Neural″​=Network, which detects the coordinates of the head, the tail, and the torso of the rat. With these coordinates, RRDS calculates two vectors, which are further used to calculate the rotation of the rat. The RRDS is a step towards improved animal welfare and more accurate results in animal experimentations.
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Yan, H. J., and E. Groten. "Departure Point, Earth’s Rate of Rotation and Coordinate Transformation in Quasi-Inertial Geocentric Equatorial Coordinate System (QIGECS)." In Developments in Astrometry and Their Impact on Astrophysics and Geodynamics. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1711-1_67.

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Kim, Min-Ki. "A Contour Shape Description Method Via Transformation to Rotation and Scale Invariant Coordinates System." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11767978_28.

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Conference papers on the topic "Rotating coordinate system"

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Wang, Runliang, Guosheng Yang, Congbo Wang, and Bo Zhang. "Distance Protection Principle Based on Control Rotating Coordinate System." In 2024 4th International Conference on Energy Engineering and Power Systems (EEPS). IEEE, 2024. https://doi.org/10.1109/eeps63402.2024.10804484.

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Morita, Tetsuji, and Hideo Okamura. "Analysis of Crankshaft Three-Dimensional Vibrations in a Rotating Coordinate System." In SAE Noise and Vibration Conference and Exposition. SAE International, 1995. http://dx.doi.org/10.4271/951292.

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Lotfi, B., Z. W. Zhong, and L. P. Khoo. "Notice of Retraction: Path generation based on a rotating coordinate system." In 2010 2nd International Conference on Mechanical and Electronics Engineering (ICMEE 2010). IEEE, 2010. http://dx.doi.org/10.1109/icmee.2010.5558557.

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Shen, I. Y., and Hyunchul Kim. "Vibration Analysis of Rotating Asymmetric Structures." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84036.

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This paper is to develop a unified algorithm to analyze vibration of spinning asymmetric rotors with arbitrary geometry and complexity. As a first approximation, the effects of housings and bearings are not included in this analysis. The unified algorithm consists of three steps. The first step is to conduct a finite element analysis on the corresponding stationary rotor to extract natural frequencies and mode shapes. The second step is to represent the vibration of the spinning rotor in terms of the mode shapes and their modal response in a coordinate system that is rotating with the spinning rotor. Through use of the Lagrange equation, one can derive the modal equation of motion. To construct the equation of motion explicitly, the results from the finite element analysis will be used to calculate the gyroscopic matrix, centrifugal stiffening (or softening) matrix, and generalized modal excitation vector. The third step is to solve the equation of motion to obtain the modal response, which, in turn, will lead to physical response of the rotor for a rotor-based observer or for a ground-based observer through a coordinate transformation. Finally, application of the algorithm to rotationally periodic rotors indicates that Campbell diagrams of the rotors will not only have traditional forward and backward branches as in axisymmetric rotors, but also have secondary resonances caused by higher harmonics resulting from the mode shapes. Calibrated experiments were conducted on an air bearing spindles carrying slotted circular disks to verify the theoretical predictions in the ground-based coordinates.
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Saifulin, R. F., and I. V. Breido. "Induction motor in a rotating coordinate system with a buffer source supply." In PROCEEDINGS OF THE 16TH INTERNATIONAL CONFERENCE ON INDUSTRIAL MANUFACTURING AND METALLURGY (ICIMM 2021). AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0074497.

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Choi, Hyunjin, Sehoon Oh, and Kyoungchul Kong. "Design of a biarticular robotic manipulator and its control in the rotating coordinate system." In 2014 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM). IEEE, 2014. http://dx.doi.org/10.1109/aim.2014.6878192.

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Li, Mengqi, Yibin Tong, Jiuchun Jiang, and Jiangang Liang. "PI and repetitive control for single phase inverter based on virtual rotating coordinate system." In ADVANCES IN ENERGY SCIENCE AND ENVIRONMENT ENGINEERING II: Proceedings of 2nd International Workshop on Advances in Energy Science and Environment Engineering (AESEE 2018). Author(s), 2018. http://dx.doi.org/10.1063/1.5029778.

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Yong Jie, Zeng, Zhang Zhi Guo, and Xu Yang. "PI double closed-loop single-phase inverter control technology based on rotating coordinate system." In 2021 China Automation Congress (CAC). IEEE, 2021. http://dx.doi.org/10.1109/cac53003.2021.9727465.

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Dost, Philip, Sebastian R. Jarzabek, and Constantinos Sourkounis. "Novel hysteresis controller based on a rotating coordinate system with direct d and q constraint." In IECON 2012 - 38th Annual Conference of IEEE Industrial Electronics. IEEE, 2012. http://dx.doi.org/10.1109/iecon.2012.6388874.

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Liu, Zhigang, Zhongzheng Liu, Jianwei Wu, and Yaozhong Xu. "Mobile large scale 3D coordinate measuring system based on network of rotating laser automatic theodolites." In Sixth International Symposium on Precision Engineering Measurements and Instrumentation. SPIE, 2010. http://dx.doi.org/10.1117/12.885889.

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Reports on the topic "Rotating coordinate system"

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Whirl Analysis of an Overhung Disk Shaft System Mounted on Non-rigid Bearings. SAE International, 2022. http://dx.doi.org/10.4271/2022-01-0607.

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Eigenvalues of a simple rotating flexible disk-shaft system are obtained using different methods. The shaft is supported radially by non-rigid bearings, while the disk is situated at one end of the shaft. Eigenvalues from a finite element and a multi-body dynamic tool are compared against an established analytical formulation. The Campbell diagram based on natural frequencies obtained from the tools differ from the analytical values because of oversimplification in the analytical model. Later, detailed whirl analysis is performed using AVL Excite multi-body tool that includes understanding forward and reverse whirls in absolute and relative coordinate systems and their relationships. Responses to periodic force and base excitations at a constant rotational speed of the shaft are obtained and a modified Campbell diagram based on this is developed. Whirl of the center of the disk is plotted as an orbital or phase plot and its rotational direction noted. Finally, based on the above plots, forward and reverse whirl zones for the two excitation types are established.
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