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関連する概念動画

Adjusting a Traverse01:12

Adjusting a Traverse

392
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...
392
Area of a Surface of Revolution01:29

Area of a Surface of Revolution

80
Surfaces of revolution are formed when a two-dimensional curve is rotated around an axis, producing a three-dimensional shape. This concept is used in engineering tasks like determining the surface area of a rocket nozzle, where precise calculations are critical for applying uniform heat-resistant coatings. When a curve is revolved about the x-axis, it sweeps out a continuous surface whose area must be calculated accurately to estimate material requirements.Approximating with Conical BandsTo...
80
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

785
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...
785
Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

991
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...
991
Angle of Twist: Problem Solving01:13

Angle of Twist: Problem Solving

817
An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the torque...
817
Transformation of Plane Strain01:12

Transformation of Plane Strain

560
When analyzing elongated structures like bars subjected to uniformly distributed loads, it is essential to understand the transformation of plane strain when coordinate axes are rotated. This transformation helps to assess how material deformation characteristics vary with orientation, which is crucial in materials science and structural engineering.
Under plane strain conditions, typical for members where one dimension significantly exceeds the others, deformations and resultant strains are...
560

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関連する実験動画

Updated: Feb 20, 2026

Precision Measurements and Parametric Models of Vertebral Endplates
10:35

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Published on: September 17, 2019

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逆最適化再構築によるシフト回転絶対表面測定

Renhu Liu, Baojian Ji, Wenhui Deng

    Optics express
    |February 18, 2026
    PubMed
    まとめ
    この要約は機械生成です。

    新しい逆最適化再構築 (ROR) 方法は,絶対的なテストでピクセルレベルの正確な表面回復を可能にします. この柔軟なアプローチにより,高精度 (0.25 nm RMS) を達成し,操作がシンプルになります.

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    科学分野:

    • オプティカルメトロロジー (光学計量学)
    • 表面計測学 表面計測学について
    • 精密エンジニアリングは,精密エンジニアリングです.

    背景:

    • 絶対的な試験方法は,高精度な表面測定に不可欠です.
    • 既存のピクセルレベルの方法は,強度や柔軟性が欠けている可能性があります.
    • 表面地形図の正確な再構築は,様々な科学および産業分野において不可欠である.

    研究 の 目的:

    • ピクセルレベルの表面回復のための新しい逆最適化再構築 (ROR) メソッドを導入する.
    • 4段階のシフト回転絶対試験の精度と操作の簡素性を高めるために.
    • 頑丈でインテリジェントな表面回復モデルを開発する.

    主な方法:

    • 逆最適化再構築 (ROR) アプローチを実装する.
    • 一般的な表面回復モデルの構築のために明示的なシフトと回転操作を使用します.
    • モーションパラメータに対する適応的エラー修正メカニズムを統合する.

    主要な成果:

    • 高精度と操作のシンプルさでピクセルレベルの表面回復を達成しました.
    • サブピクセルのシフトを含むすべてのモーションパラメータの利用が実証されています.
    • 実験的検証により,表面測定の精度が0.25 nmの平方根平均 (RMS) であることを確認しました.

    結論:

    • 提案されたROR方法は,表面回復のための柔軟でインテリジェントなソリューションを提供します.
    • アダプティブエラー修正メカニズムは,パラメータの不正確性に対する頑丈性を高めます.
    • この方法は,絶対表面試験における最先端技術を大幅に進歩させています.