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Study on the variable length simple pendulum oscillation based on the relative mode transfer method.

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This study models pendulum motion with sudden length changes using the Relative Mode Transfer Method (RMTM). Experiments and simulations confirm the model

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Area of Science:

  • Physics
  • Mechanical Engineering
  • Dynamics and Control

Background:

  • Pendulum dynamics are fundamental in physics and engineering.
  • Modeling systems with abrupt parameter changes presents significant challenges.
  • Understanding pendulum behavior under varying lengths is crucial for many applications.

Purpose of the Study:

  • To develop and validate a model for a single pendulum experiencing sudden length changes.
  • To investigate the influence of various parameters on a double obstacle pendulum system.
  • To provide insights into controlling pendulums with abrupt and continuous length variations.

Main Methods:

  • Employed the Relative Mode Transfer Method (RMTM) for modeling.
  • Constructed an experimental platform with image processing for motion tracking.
  • Conducted numerical simulations for single and double obstacle pendulum systems.

Main Results:

  • Experimental data closely matched simulated numerical results, validating the RMTM.
  • Simulations explored the impact of obstacle pin positions, quantities, and initial angles.
  • The study successfully demonstrated a method to analyze pendulums with dynamic length alterations.

Conclusions:

  • The Relative Mode Transfer Method (RMTM) is effective for modeling pendulums with sudden length changes.
  • Parameter variations significantly affect the motion of double obstacle pendulum systems.
  • This research offers a framework for analyzing and controlling pendulums with dynamic length adjustments.