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The Discrete Fourier Transform (DFT) is a fundamental tool in signal processing, extending the discrete-time Fourier transform by evaluating discrete signals at uniformly spaced frequency intervals. This transformation converts a finite sequence of time-domain samples into frequency components, each representing complex sinusoids ordered by frequency. The DFT translates these sequences into the frequency domain, effectively indicating the magnitude and phase of each frequency component present...
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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.
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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.
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A slider-crank mechanism converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three main parts: the crank, the connecting rod, and the slider. The movement of the slider-crank is an example of general plane motion as the fluctuating angle between the crank and the connecting rod. Consider a segment AB where point A is at the end of the slider and point B is on the diametrically opposite end to point A, on a crack. The variance in...
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In an ideal transformer, it is assumed that there are no energy losses, and, hence, all the power at the primary winding is transferred to the secondary winding. However, in reality,  the transformers always have some energy losses, and, hence, the output power obtained at the secondary winding is less than the input power at the primary winding due to energy losses.
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Related Experiment Video

Updated: Jun 23, 2025

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Camera-Based Dynamic Vibration Analysis Using Transformer-Based Model CoTracker and Dynamic Mode Decomposition.

Liangliang Cheng1, Justin de Groot1, Kun Xie1

  • 1Dynamics and Vibration Group, Engineering and Technology Institute Groningen, Faculty of Science and Engineering, University of Groningen, 9712 CP Groningen, The Netherlands.

Sensors (Basel, Switzerland)
|June 19, 2024
PubMed
Summary

This study explores using CoTracker, a computer vision model, for measuring structural vibrations. CoTracker shows high potential for full-field vibration analysis, offering a cost-effective alternative to traditional accelerometers.

Keywords:
CoTrackercamera-based measurementdeep learningdynamic mode decompositionmodal analysisvibration

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Area of Science:

  • Structural Health Monitoring
  • Computer Vision
  • Mechanical Engineering

Background:

  • Accelerometers are standard for structural vibration monitoring but are costly and provide point-based data.
  • Advancements in computer vision and deep learning enable pixel-level motion tracking.
  • CoTracker, a transformer-based model, excels at motion tracking but its use in structural vibration measurement is underexplored.

Purpose of the Study:

  • To investigate the effectiveness of the CoTracker model for extracting full-field structural vibrations using camera-based systems.
  • To evaluate CoTracker's performance in capturing dense point movements for modal analysis.
  • To benchmark CoTracker against traditional accelerometers and Finite Element Method (FEM) for vibration measurement.

Main Methods:

  • Utilizing CoTracker to track dense point movements in high-speed camera video sequences of a cantilever beam.
  • Performing modal analysis with delay-embedding dynamic mode decomposition (DMD) to extract modal parameters.
  • Comparing CoTracker results with data from a reference accelerometer and FEM simulations.

Main Results:

  • CoTracker successfully captured dense point movements indicative of structural vibrations.
  • Modal parameters such as natural frequencies, damping ratios, and mode shapes were extracted using DMD.
  • CoTracker's performance was validated against accelerometer and FEM results, showing high accuracy.

Conclusions:

  • CoTracker demonstrates significant potential for non-contact, full-field structural vibration measurement.
  • This camera-based approach offers a promising, potentially more cost-effective alternative to traditional accelerometers.
  • CoTracker is applicable for general structural vibration analysis and condition monitoring.