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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.
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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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Planar Rigid-Body Motion01:22

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Kinematic Equations for Rotation01:30

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3D Kinematic Gait Analysis for Preclinical Studies in Rodents
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Motion envelopes: unfolding longitudinal rotation data from walking stick-figures.

Ivo F Roupa1, Sérgio B Gonçalves1, Miguel Tavares da Silva1

  • 1IDMEC, Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal.

Computer Methods in Biomechanics and Biomedical Engineering
|December 17, 2021
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Summary

This study introduces Motion Envelopes (ME), a method to estimate missing joint rotations in stick figures. ME accurately predicts longitudinal orientations for limbs during normal gait, enhancing kinematic data.

Keywords:
Inverse kinematicsgaitlongitudinal rotationsmarkerless systemsstick figures

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Area of Science:

  • Biomechanics
  • Human motion analysis
  • Computer graphics

Background:

  • Estimating full body kinematics from limited data is challenging.
  • Stick figure models often lack complete rotational information, particularly longitudinal rotations.

Purpose of the Study:

  • To present Motion Envelopes (ME), a novel method for estimating missing longitudinal rotations in stick figures.
  • To validate the accuracy of ME in predicting joint orientations during human gait.

Main Methods:

  • ME utilizes the spatial-temporal surface traced by joint-connecting line segments.
  • The method was validated by analyzing gait patterns from 6 healthy subjects (18 gait cycles).

Main Results:

  • A strong correlation was found between experimental and estimated longitudinal rotations for lower limbs and upper arms.
  • ME demonstrated high accuracy in predicting limb orientation during normal gait.

Conclusions:

  • Motion Envelopes (ME) is an effective and simple method for estimating missing longitudinal rotations in stick figures.
  • ME can reliably complement incomplete kinematic data, particularly for lower limbs and upper arms in gait analysis.