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Angular displacement

About: Angular displacement is a research topic. Over the lifetime, 5102 publications have been published within this topic receiving 46081 citations. The topic is also known as: rotational displacement.


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Patent
09 May 1988
TL;DR: In this paper, an articulating head having bearings of reproducible travel behavior was proposed for precision angular displacment of a mounted probe-pin, about each of two orthogonal component axes of rotation.
Abstract: The invention contemplates an articulating head having bearings of reproducible travel behavior, for precision angular displacment of a mounted probe-pin, about each of two orthogonal component axes of rotation. The precision of angular displacement relies upon high-resolution angle encoders for reading the instantaneous angle for each of these component axes of rotation and for reporting the same to the computer of a coordinate-measuring machine. Active position-control circuits use the angle encoders for controlling drive about the respective component axes of rotation, all in conjunction with a given program of measurements by the coordinate-measuring machine. A probe holder mounted to the articulating head can be oriented to any desired angular aspect with respect to the workpiece feature to be measured or scanned, and measurements can be made solely by controleld actuation via one or both drives on the respective axes of the articulating head, i.e., while rectilineal drives of the coordinate-measuring machine are arrested. Alignment and travel behavior of the articulation axes are determined by a calibration program and are used for correction of measurement values read from the angle-encoders of the articulating head.

154 citations

Journal ArticleDOI
TL;DR: Simulation results indicate that in situations where the rigid body assumption is valid and when measurement noise is present, the proposed method is inferior to methods that utilize the rigidBody assumption, however, when there are large skin movement artefacts, simulation results show the proposed methods to be more robust.

153 citations

Patent
22 Apr 2006
TL;DR: In this article, the authors present a stabilization system including a platform supported by two or more rotatably-coupled gimbal frames each having a pivot assembly disposed at its rotation axis to couple an actuator to a rotation sensor having a rotation sensitive sensor axis that is fixedly disposed with respect to the rotation axis.
Abstract: A stabilization system including a platform supported by two or more rotatably-coupled gimbal frames each having a pivot assembly disposed at its rotation axis to couple an actuator to a rotation sensor having a rotation-sensitive sensor axis that is fixedly disposed with respect to the rotation axis, and a controller including means for accepting the sensor signals and for producing each motor signal needed to dispose the platform in a predetermined angular position with respect to each rotation axis independent of changes in the base orientation. A motion simulator embodiment includes controller means for accepting an external slew signal sequence and means for producing the motor signals needed to move the platform along a predetermined sequence of positions represented by the slew signal sequence.

151 citations

Journal ArticleDOI
TL;DR: In this paper, a weak measurement protocol that permits a sensitive estimation of angular rotations based on the concept of weak-value amplification is presented. But this protocol requires the use of a spin-orbit coupling.
Abstract: We present a weak measurement protocol that permits a sensitive estimation of angular rotations based on the concept of weak-value amplification. The shift in the state of a pointer, in both angular position and the conjugate orbital angular momentum bases, is used to estimate angular rotations. This is done by an amplification of both the real and imaginary parts of the weak-value of a polarization operator that has been coupled to the pointer, which is a spatial mode, via a spin-orbit coupling. Our experiment demonstrates the first realization of weak-value amplification in the azimuthal degree of freedom. We have achieved effective amplification factors as large as 100, providing a sensitivity that is on par with more complicated methods that employ quantum states of light or extremely large values of orbital angular momentum.

149 citations

Journal ArticleDOI
TL;DR: In this article, microwave, contactless, and low-cost sensors useful for that purpose are analyzed in detail, where the sensing principle is based on the amplitude modulation of a harmonic (single-tone continuous wave) feeding signal, achieved when the chains of the rotor are displaced over the single-loop split ring resonators (SRRs) pairs of the stator.
Abstract: The accurate measurement of the angular displacement and velocity of reaction wheels is necessary for attitude (orientation) control in space vehicles (satellites). In this paper, microwave, contactless, and low-cost (as compared to optical encoders) sensors useful for that purpose are analyzed in detail. The sensor consists of a rotor and a stator. The rotor is a disk (or a circular crown) of dielectric material, where one or several arrays of equidistant single-loop split ring resonators (SRRs) are etched along its edge, forming circular chains of hundreds of SRRs. The stator is a coplanar waveguide (CPW) also loaded with pairs of single-loop SRRs (etched in the back substrate side), with the centers located in the slot region. The sensing principle is based on the amplitude modulation of a harmonic (single-tone continuous wave) feeding signal, achieved when the chains of the rotor are displaced over the SRR pairs of the stator. Both sensor elements (rotor and stator) must be parallel oriented, with the SRR pairs of the CPW in close proximity to the SRR chains of the rotor (and rotated 180°), in order to favor their coupling. By this means, the transmission coefficient of the CPW is varied by the circular motion of the rotor, and significant amplitude modulation of the feeding signal is achieved. From the envelope function, the angular velocity can be accurately determined. With the proposed sensors, instantaneous and practically unlimited rotation speeds can be measured.

140 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202339
202282
2021106
2020164
2019224
2018212