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Damped Oscillations01:07

Damped Oscillations

5.9K
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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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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Concept of Resonance and its Characteristics01:19

Concept of Resonance and its Characteristics

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If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not...
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Vibrating Concrete01:19

Vibrating Concrete

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Mechanical vibrators are instrumental in compacting newly poured concrete within formwork and around reinforcements. This process is essential to eliminate trapped air pockets and establish a dense concrete mass. One widely used method is vibrating by internal vibrators, often referred to as a poker vibrator or immersion vibrator. It is rapidly inserted through the full depth of the freshly laid concrete and slightly extends into the layer below it (which remains in a plastic state). Consistent...
157
Sound Waves: Resonance01:14

Sound Waves: Resonance

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Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
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Magnetic Damping01:17

Magnetic Damping

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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.
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...
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Related Experiment Video

Updated: Aug 19, 2025

Measurement of Vibration Detection Threshold and Tactile Spatial Acuity in Human Subjects
07:32

Measurement of Vibration Detection Threshold and Tactile Spatial Acuity in Human Subjects

Published on: September 1, 2016

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Specified-duration shapers for suppressing residual vibrations.

Brian Byunghyun Kang1

  • 1School of Intelligent Mechatronics Engineering, Sejong University, Seoul, Korea.

Plos One
|November 28, 2022
PubMed
Summary

A new Specified-Duration (SD) shaper offers improved vibration suppression by allowing users to set a specific shaping time. This method enhances robustness to modeling errors in control systems.

Area of Science:

  • Control Engineering
  • Mechanical Vibrations
  • Robotics

Background:

  • Input shaping control is widely researched for residual vibration suppression.
  • Existing input shapers offer arbitrary robustness but lack specified shaping times.
  • Designing input shapers with arbitrarily specified shaping times remains an open challenge.

Purpose of the Study:

  • To propose a Specified-Duration (SD) shaper with arbitrarily specified shaping times.
  • To develop a systematic method for designing SD shapers using impulse vectors.
  • To enhance robustness to modeling errors by increasing shaping duration.

Main Methods:

  • A novel Specified-Duration (SD) shaper is designed using impulse vectors.
  • The number of impulses is incrementally added based on derivative constraints as shaping time increases.

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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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Last Updated: Aug 19, 2025

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Measurement of Vibration Detection Threshold and Tactile Spatial Acuity in Human Subjects

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  • Performance is evaluated using computer simulations for a second-order system.
  • Main Results:

    • The SD shaper effectively suppresses residual vibrations at the specified shaping time.
    • Simulations confirm the SD shaper's ability to reduce vibrations in a second-order system.
    • Experimental validation on a horizontal beam vibration apparatus confirms the shaper's effectiveness.

    Conclusions:

    • The proposed SD shaper provides a method for vibration suppression with specified shaping durations.
    • The SD shaper enhances robustness to modeling errors as the shaping time increases.
    • This research contributes to developing advanced vibration suppression strategies using input shaping control.