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Related Concept Videos

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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Relative Motion Analysis using Rotating Axes-Problem Solving01:29

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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.
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Relative Motion Analysis using Rotating Axes - Acceleration01:22

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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. 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...
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Beams with Unsymmetric Loadings01:17

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Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
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Influence of Earth's Curvature and Atmospheric Refraction on Leveling01:26

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During leveling, the Earth's curvature and atmospheric refraction introduce deviations in the line of sight from a true horizontal reference. When the line of sight is leveled, it remains perpendicular to the plumb line only at a single point. Beyond this, it deviates due to the Earth’s curvature, represented by the correction C. For a sight distance D, the deviation can be derived using the relationship:This relationship shows that the deviation increases quadratically with distance.
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Derivatives of Inverse Trigonometric Functions01:30

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A ship tracking an approaching aircraft relies on geometric measurements to find out the aircraft’s position relative to the observer. By measuring the slant distance to the aircraft and the angle of elevation, the horizontal and vertical components of the distance can be obtained using trigonometric relationships. This geometric approach provides a basis for analyzing how the observed angle changes as the aircraft moves closer to the ship.To examine the mathematical behavior of the angle...
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Doppler Optical Coherence Tomography of Retinal Circulation
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Asynchronous optical coherence elastography and directional phase gradient analysis.

Ginger Schmidt1,2, Ryan McAuley1, Brett E Bouma1,2

  • 1Massachusetts General Hospital, Harvard Medical School, Wellman Center for Photomedicine, Somerville, Massachusetts, United States.

Journal of Biomedical Optics
|September 22, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a faster, motion-resilient 3D shear wave imaging technique using optical coherence tomography (OCT). The new method improves speed and accuracy for assessing tissue stiffness, aiding clinical applications.

Keywords:
optical coherence elastographyoptical coherence tomographysignal processing

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Area of Science:

  • Biomedical Engineering
  • Medical Imaging
  • Biophysics

Background:

  • Tissue stiffness and compliance are crucial indicators of health, often altered in disease.
  • Current shear wave elastography with OCT is limited by slow imaging, motion artifacts, and hardware demands, hindering clinical use.

Purpose of the Study:

  • To develop and validate a practical, high-speed 3D shear wave imaging method compatible with standard OCT systems.
  • To overcome limitations of existing OCT-based elastography for improved clinical translation.

Main Methods:

  • Developed a rapid, asynchronous 3D shear wave field acquisition technique using pairs of B-scans at conventional rates.
  • Introduced directional phase gradient analysis for robust shear wave number estimation under various wave conditions.
  • Achieved reduced motion sensitivity and enhanced acquisition speed with denser lateral sampling.

Main Results:

  • Validated accuracy against synchronous imaging in phantom studies.
  • Demonstrated robustness to variations in wave orientation, excitation amplitude, and diffusivity.
  • Confirmed technique reliability through repeated measurements under diverse conditions.

Conclusions:

  • The developed methods offer a practical approach for shear wave imaging.
  • This technique does not require modifications to existing clinical phase-stable OCT systems.
  • Enables more accessible and reliable assessment of tissue mechanical properties.