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Related Concept Videos

Damped Oscillations01:07

Damped Oscillations

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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.
Although friction and other non-conservative...
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Second Order systems II01:18

Second Order systems II

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In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
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Types of Damping01:20

Types of Damping

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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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Design Example: Underdamped Parallel RLC Circuit01:17

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Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
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RLC Circuit as a Damped Oscillator01:30

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An RLC circuit combines a resistor, inductor, and capacitor, connected in a series or parallel combination.
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
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Relation between Mathematical Equations and Block Diagrams01:20

Relation between Mathematical Equations and Block Diagrams

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In a spring-mass-damper system, the second-order differential equation describes the dynamic behavior of the system. When transformed into the Laplace domain under zero initial conditions, this equation can be effectively analyzed and manipulated. The transformation into the Laplace domain converts differential equations into algebraic equations, simplifying the process of isolating the output.
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Synthetic, Multi-Layer, Self-Oscillating Vocal Fold Model Fabrication
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Hysteresis in the underdamped three-layer model.

Li-Ping Jia1, Jasmina Tekić2

  • 1Department of Physics, Longdong University, Qingyang, 745000, China. pp2008634@163.com.

Scientific Reports
|July 4, 2020
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Summary
This summary is machine-generated.

This study explores friction in a three-layer atomic model, analyzing how external forces affect transitions between static and kinetic friction states for potential lubricant applications.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Tribology

Background:

  • Hysteretic phenomena are crucial in understanding friction and energy dissipation.
  • Atomic-scale models provide insights into macroscopic tribological behaviors.
  • Understanding friction transitions is key for material design and energy efficiency.

Purpose of the Study:

  • Investigate hysteretic phenomena in a three-layer atomic chain model.
  • Analyze transitions between pinning and running states under external driving forces.
  • Determine the influence of inter-particle interactions and spacing on friction.

Main Methods:

  • Simulated a three-layer atomic chain confined by periodic substrates.
  • Applied an external driving force to the top substrate.
  • Varied parameters like equilibrium spacing and interaction strength to study friction forces.

Main Results:

  • Identified pinning-to-running and running-to-pinning transitions.
  • Analyzed the impact of middle-layer particle interactions on static and kinetic friction.
  • Mapped parameter spaces for maximum and minimum friction forces.

Conclusions:

  • Friction behavior is highly dependent on inter-particle interactions and external forces.
  • Results offer guidance for selecting lubricant materials.
  • Findings contribute to minimizing energy loss in tribological systems.