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Related Concept Videos

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.
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Relative Motion Analysis using Rotating Axes01:25

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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 - Velocity01:24

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A stroke engine has a slider-crank mechanism that 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.
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Relative Motion Analysis - Acceleration01:10

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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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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.
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Precession can be demonstrated effectively through a spinning top. If a spinning top is placed on a flat surface near the surface of the Earth at a vertical angle and is not spinning, it will fall over due to the force of gravity producing a torque acting on its center of mass. However, if the top is spinning on its axis, it precesses about the vertical direction, rather than topple over due to this torque. Precessional motion is a combination of a steady circular motion of the axis and the...
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Space Robot Sensor Noise Amelioration Using Trajectory Shaping.

Emily Kuck1, Timothy Sands2

  • 1Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853, USA.

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Summary

Space robots face control challenges due to low-frequency vibrations. Sinusoidal trajectories improve control accuracy by 97.39% in ideal conditions, outperforming traditional step inputs for flexible robots.

Keywords:
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Area of Science:

  • Robotics
  • Control Systems Engineering
  • Aerospace Engineering

Background:

  • Space robots require lightweight designs, leading to low natural frequencies that interfere with attitude control.
  • Control-structural interactions are a significant challenge, exacerbated by low-quality, noisy sensors.
  • Traditional step function trajectories are discontinuous and not always optimal for these systems.

Purpose of the Study:

  • To explore alternative input trajectories for controlling flexible space robots.
  • To investigate the efficacy of sinusoidal trajectories in mitigating control-structural interactions.
  • To compare the performance of different trajectories under varying noise conditions.

Main Methods:

  • Derivation of equations of motion for a flexible appendage, rigid body, and reaction wheel system.
  • Development of a benchmark feedback controller for rigid body modes and additional filters for flexible modes.
  • Autonomous generation of sinusoidal trajectories and implementation of feedforward whiplash compensation for comparison.

Main Results:

  • The sinusoidal trajectory method demonstrated a 97.39% improvement over baseline step trajectories in the absence of random errors.
  • Sinusoidal trajectories were found to be superior in minimizing control errors under ideal conditions.
  • However, traditional step trajectories performed better than sinusoidal ones when sensor noise and random errors were present.

Conclusions:

  • Sinusoidal trajectories offer a significant improvement for controlling flexible space robots in noise-free environments.
  • The choice of input trajectory is critical and depends on the presence of sensor noise and external disturbances.
  • Further research may explore adaptive or robust trajectory generation methods to handle real-world space conditions.