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Eddy currents can produce significant drag on motion, called magnetic damping. For instance, when a metallic pendulum bob swings between the poles of a strong magnet, significant drag acts on the bob as it enters and leaves the field, quickly damping the motion.
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If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...
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In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
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The shaft PQ is subjected to a twisting force when equal and opposite torques are applied on either side. A section that cuts perpendicular to the shaft's axis at any arbitrary point R is examined to understand this. When the free-body diagram of the QR segment is analyzed, it reveals the shearing forces exerted by the PR portion onto the QR segment as the shaft experiences twisting.
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Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators
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Micro-Interface Slip Damping in a Compressed Coir Vibration Isolator.

Jem A Rongong1, Jin-Song Pei2, Joseph P Wright3

  • 1School of Mechanical, Aerospace and Civil Engineering, University of Sheffield, Sheffield S1 3JD, UK.

Materials (Basel, Switzerland)
|October 16, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a novel Masing model enhanced with time evolution for micro-interface slip damping. This approach accurately captures the nonlinear behavior of coir-based vibration isolators and clayey soil.

Keywords:
absementcyclic behaviordisplacement ratchetingextended Masing modelgeneralized momentumhysteresismem-modelsmicro-interface slip dampingtime-varying

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Geotechnical Engineering

Background:

  • Micro-interface slip damping offers temperature-insensitive alternatives to viscoelastic polymers.
  • Existing damping systems with micro-interface slip exhibit complex behaviors due to interlocking units.
  • Compressed coir presents a sustainable, cost-effective, and lightweight vibration isolation solution.

Purpose of the Study:

  • To investigate the nonlinear hysteresis and load history-dependent properties of compressed coir vibration isolators.
  • To adapt and enhance the Masing model for representing micro-interface slip damping phenomena.
  • To validate a novel time-evolution encoding method for phenomenological damping models.

Main Methods:

  • Cyclic loading tests were performed on compressed coir vibration isolators.
  • A Masing model was employed to capture the observed nonlinear hysteresis.
  • A new method integrating time evolution (using restoring force or displacement time integral) was developed and applied, inspired by mem-models.
  • The enhanced model was validated using data from coir isolators and clayey soil.

Main Results:

  • Compressed coir exhibits highly nonlinear hysteresis and gradual property changes under cyclic loading.
  • The Masing model effectively represents the phenomenological behavior of systems with numerous micro-slip contacts.
  • The novel time-evolution encoding enriches the Masing model's predictive capabilities for damping materials.
  • The modeling approach demonstrated validity across different micro-interface slip damping applications.

Conclusions:

  • The enhanced Masing model provides a robust framework for understanding and predicting the behavior of micro-interface slip damping systems.
  • Compressed coir is a viable eco-friendly material for vibration isolation, demonstrating complex nonlinear dynamics.
  • The integration of time-evolutionary aspects from mem-models offers a significant advancement in modeling damping mechanisms.