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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.


Papers
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Journal ArticleDOI
TL;DR: In this paper, the random motion of a rigid body under a white noise perturbation is studied and a formula for the angular velocity in an average sense is given. But the stability near a principle axis is not discussed.
Abstract: We use stochastic analysis to study the random motion of a rigid body under a white noise perturbation. We obtain a formula for the angular velocity in an average sense and discuss the stability near a principle axis.

14 citations

Patent
21 Dec 1993
TL;DR: In this paper, the rotational center can be specified at a constant point, and a simple relationship between the needed correction and the subject distance can be established, thereby enabling image-blur prevention.
Abstract: An image-blur preventing apparatus includes an image-blur correcting device that is driven in accordance with a subject distance to compensate for the location of an image-blur correcting optical device being located at a position different from a rotational center of the apparatus corresponding to rotational displacement due to a hand shake. The rotational center can be specified at a constant point, and a simple relationship between the needed correction and the subject distance can be established, thereby enabling image-blur prevention.

14 citations

Patent
14 Mar 2005
TL;DR: An apparatus for multi-axis rotation and translation consisting of a spherical body, a plurality of roller assemblies each engaging the outer surface of the spherical body and a multiplicity of actuators for driving said roller assemblies, a frame for supporting the plurality of rollers, and translation means for translating the frame along each of three orthogonal axes.
Abstract: An apparatus for multi-axis rotation and translation comprises a spherical body, a plurality of roller assemblies each engaging the outer surface of the spherical body, a plurality of actuators for driving said roller assemblies, a frame for supporting the plurality of roller assemblies and the plurality of actuators and translation means for translating the frame along each of three orthogonal axes. The actuators are selectively operated to drive the roller assemblies thereby imparting unlimited angular displacement to the spherical body and rotating the spherical body about any axis passing through its geometric center. The translation means may be operated to translate said spherical body along at least one of said three orthogonal axes. The apparatus is particularly applicable to use as a manipulator with six degrees of freedom (unlimited rotational displacement and translational displacement limited only by the boundaries of the workspace).

14 citations

Patent
18 Jan 1995
TL;DR: In this paper, the angular displacement of the foot is measured and the distance of the trunk from a reference, such as the foot or the ground, is determined, on the basis of these data it is possible to calculate the speed or distance.
Abstract: Method and assembly for measuring the speed of or distance covered by a runner. According to the invention, the angular displacement of the foot is measured, and the distance of the trunk from a reference, such as the foot or the ground, is determined. On the basis of these data it is possible to calculate the speed or distance.

14 citations

Journal ArticleDOI
TL;DR: The experiment and test results show that high-precision measurement is achieved without high- Precision manufacture and that angular displacement is measured very accurately without a dividing scale, which embeds the remarkable characteristics of low cost but high accuracy to the time grating sensor.
Abstract: A theory of time-space coordinate transformation is presented for measuring space with time. A novel type of displacement sensor named time grating is developed, and methods of electronic rectifying, self-compensation and self-correction are proposed to intelligentize the sensor. Experiment results coming from applications conform to the validity of the proposed theory and methods. The experiment and test results show that high-precision measurement is achieved without high-precision manufacture and that angular displacement is measured very accurately without a dividing scale, which embeds the remarkable characteristics of low cost but high accuracy to the time grating sensor.

14 citations


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