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関連する概念動画

Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

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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...
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Kinematic Equations: Problem Solving01:15

Kinematic Equations: Problem Solving

13.6K
When analyzing one-dimensional motion with constant acceleration, the problem-solving strategy involves identifying the known quantities and choosing the appropriate kinematic equations to solve for the unknowns. Either one or two kinematic equations are needed to solve for the unknowns, depending on the known and unknown quantities. Generally, the number of equations required is the same as the number of unknown quantities in the given example. Two-body pursuit problems always require two...
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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...
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Kinematic Equations for Rotation01:30

Kinematic Equations for Rotation

372
In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its rotational kinematics. This process resembles how linear kinematics are dealt with in simpler motion studies.
For instance, imagine a point A on a rigid body engaged in circular motion. The translational velocity of this particular point can be calculated by taking the time derivatives of the displacement equation, which essentially measures the...
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Kinematic Equations - III01:18

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The first two kinematic equations have time as a variable, but the third kinematic equation is independent of time. This equation expresses final velocity as a function of the acceleration and distance over which it acts. The fourth kinematic equation does not have an acceleration term and provides the final position of the object at time t in terms of the initial and final velocities. This equation is useful when the value of the constant acceleration is unknown.
Using the kinematic equations,...
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Kinematic Equations - II01:17

Kinematic Equations - II

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The second kinematic equation expresses the final position of an object in terms of its initial position, the distance traveled with the initial constant velocity, and the distance traveled due to a change in velocity. Similar to the first kinematic equation, this equation is also only valid when the acceleration is constant throughout the motion of an object.
Suppose a car merges into freeway traffic on a 200 m long ramp. If its initial velocity is 10 m/s and it accelerates at 2 m/s2, then the...
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Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine
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作業スペースマニホールドマッピングを用いた運動パラメータの推定

Eric R Peltola, Eunsuk Chong, Xiaoyu Wang

    IEEE transactions on bio-medical engineering
    |September 2, 2025
    PubMed
    まとめ
    この要約は機械生成です。

    この研究は,ワークスペースマニホールドマッピングを使用して,手のような複雑なシステムの関節パラメータを推定するための新しい方法を導入します. 動的制約 (GTM-KC) を含む生成地形図解アルゴリズムは,正確で堅牢な動的パラメータ推定を提供します.

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    科学分野:

    • ロボット
    • バイオメカニクス
    • キネマティック

    背景:

    • 多関節システムの動力学的パラメータを推定することは,直接的な測定が不可能である場合に困難です.
    • 既存の方法は,特に複雑な関節構成では,正確さ,精度,強度で苦労します.

    研究 の 目的:

    • 多関節システムの動力学的パラメータを推定するための新しいデータベースの方法を提案し,検証する.
    • 直接的な測定が不可能であるシナリオにおける現在の方法の限界に対処する.

    主な方法:

    • 3Dモーションの指数関数表現の幾何学に基づいた"ワークスペースマッピング"アプローチを開発した.
    • GTM-KC (Generative Topographic Mapping algorithm with kinematic constraints) を導入した.
    • 2 度自由度 (DOF) の機械的連結のためのシミュレーションとモーションキャプチャデータを用いてGTM-KCを検証し,ベンチマークアルゴリズムと比較した.

    主要な成果:

    • GTM-KC方法は,2-DOF関節軸の方向を推定する高精度を示し,地面の真相から平均偏差は2.5°と2.4°であった.
    • 低い標準偏差 (3.4°と2.7°) は正確な推定を示しています.
    • このアルゴリズムは 初期条件に対する強度を示し 既存の方法を上回りました

    結論:

    • GTM-KC 方法は,3D 運動学における関節軸の方向を効果的に推定します.
    • 精度,精度,収束性において既存の方法と比較して優れているまたは同等の性能を提供します.
    • ワークスペースマニフォールドマッピングは,1 と 2-DOFの運動関係に一般化可能なアプローチを提供します.