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関連する概念動画

Rotation with Constant Angular Acceleration - II01:16

Rotation with Constant Angular Acceleration - II

6.1K
Kinematics is the description of motion. The kinematics of rotational motion discusses the relationships between rotation angle, angular velocity, angular acceleration, and time. One can describe many things with great precision using kinematics, but kinematics does not consider causes. For example, a large angular acceleration describes a very rapid change in angular velocity without any consideration of its cause. Thus, rotational kinematics does not represent the laws of nature.
The first...
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Rotation with Constant Angular Acceleration - I01:37

Rotation with Constant Angular Acceleration - I

6.8K
If angular acceleration is constant, then we can simplify equations of rotational kinematics, similar to the equations of linear kinematics. This simplified set of equations can be used to describe many applications in physics and engineering where the angular acceleration of a system is constant.
Using our intuition, we can begin to see how rotational quantities such as angular displacement, angular velocity, angular acceleration, and time are related to one another. For example, if a flywheel...
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Adjusting a Traverse01:12

Adjusting a Traverse

101
In the site survey of a four-sided traverse, internal angles are essential to ensure geometric accuracy. The survey revealed that the sum of the measured internal angles was 359 degrees and 48 minutes, which is 12 minutes less than the expected 360 degrees. This discrepancy signals an error likely arising from measurement inaccuracies during the fieldwork.To rectify this error, the adjustment process involved distributing the 12-minute shortfall equally across the four internal angles. By...
101
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

448
Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
Here, in order to determine the magnitude of velocity and acceleration for point...
448
Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

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Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it...
530
Relative Motion Analysis using Rotating Axes - Acceleration01:22

Relative Motion Analysis using Rotating Axes - Acceleration

393
Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame. The absolute velocity of point B is determined by adding the absolute velocity of point A, the relative velocity of point B in the rotating frame, and the effects caused by the angular velocity within the rotating frame.
Time differentiation is...
393

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Updated: Sep 9, 2025

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
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ダイナミックエラーの適応補償による角方向測定法

Dimitar Dichev1,2, Iliya Zhelezarov1,2, Borislav Georgiev1,2

  • 1Department of Machine and Precision Engineering, Technical University of Gabrovo, 4 H. Dimitar Str., 5300 Gabrovo, Bulgaria.

Sensors (Basel, Switzerland)
|August 28, 2025
PubMed
まとめ

この研究は,ダイナミックエラーをリアルタイムで修正するために,適応カルマンフィルタリングを使用して,オブジェクト指向を測定するための新しい方法を導入します. このシステムは,国際基準で検証された 動く物体のロールとピッチを正確に決定します.

キーワード:
MEMSセンサー適応カルマンフィルタリング角方向の測定ダイナミック測定における測定不確実性の評価

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関連する実験動画

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科学分野:

  • エンジニアリング
  • 測定科学
  • ロボット

背景:

  • ダイナミックなシステムでは,正確な角方向測定が不可欠です.
  • 既存の方法は,しばしば楽器とダイナミックなエラーと戦っています.
  • 慣性要素の安定化は複雑で誤りやすい.

研究 の 目的:

  • 動くオブジェクトの角方向を測定するための統合方法を開発する.
  • 機械構造を簡素化することで 機器の誤差を減らす.
  • ハードウェア・ソフトウェア・プラットフォームを使用して,ダイナミックエラーの適応補償を達成します.

主な方法:

  • 慣性要素の安定化を避け,リアルタイムでエラーを修正するために適応カルマン構造が採用されました.
  • 独立した信号とMEMSセンサーを備えた2チャネル測定モデルが使用されました.
  • 誤差と不確実性理論を含む量的な評価のための計測学に基づいた方法論が開発されました.

主要な成果:

  • ロールとピッチを測定するシステムが開発され,実装されました.
  • 高精度基準システムに対して,静的および動的モードでのシステムの精度を検証した.
  • 開発された方法論は客観的で再現可能で追跡可能な評価を提供します.

結論:

  • ダイナミックなオブジェクトの角方向測定のための堅固なソリューションを提供しています.
  • 適応的なカルマンアプローチは,ダイナミックなエラーを効果的に補償します.
  • システムの正確性と評価方法論は検証され,国際基準に準拠しています.