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Related Concept Videos

Types of Damping01:20

Types of Damping

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...
Concept of Resonance and its Characteristics01:19

Concept of Resonance and its Characteristics

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 immune...
Damped Oscillations01:07

Damped Oscillations

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...
Sound Waves: Resonance01:14

Sound Waves: Resonance

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...
Modes of Standing Waves - I01:03

Modes of Standing Waves - I

A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This phenomenon...
Impact Loading on a Cantilever Beam01:13

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The analysis of a cantilever beam with a circular cross-section subjected to impact loading at its free end illustrates the conversion of potential energy from a dropped object into kinetic energy, which is then absorbed by the beam as strain energy. This process is crucial for understanding how materials behave under dynamic loads, which is important in fields such as construction and aerospace.
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Pressure-dependent dissipation effect at multiple cantilever resonant modes.

Eun Joong Lee1, Chul Sung Kim, Yun Daniel Park

  • 1Department of Physics, Kookmin University, Seoul 136-702, Korea.

Journal of Nanoscience and Nanotechnology
|November 30, 2011
PubMed
Summary

This study investigates microcantilever resonance and pressure-dependent dissipation. The fluid dynamics transition from Newtonian to non-Newtonian behavior at low pressures was observed and modeled.

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Area of Science:

  • Physics
  • Mechanical Engineering
  • Materials Science

Background:

  • Microcantilevers are sensitive mechanical resonators.
  • Understanding fluid-structure interactions at varying pressures is crucial for sensor development.
  • Dissipation effects in micro-mechanical systems are not fully characterized across pressure ranges.

Purpose of the Study:

  • To investigate the pressure-dependent dissipation effects on microcantilever resonant characteristics.
  • To determine the fluidic quality factors for multiple resonant modes.
  • To analyze the transition in fluid dynamics from Newtonian to non-Newtonian behavior with decreasing pressure.

Main Methods:

  • Utilized the optical deflection method to observe microcantilever resonance.
  • Measured the quality factor (Q-factor) for up to the fourth harmonic mode.
  • Quantified pressure-dependent fluidic quality factors from 0.1 to 1000 Torr at room temperature.

Main Results:

  • Observed distinct pressure-dependent dissipation effects on microcantilever resonance.
  • Determined fluidic quality factors for multiple resonant modes, accounting for intrinsic dissipation.
  • Identified two asymptotic behaviors in the inverse fluidic Q-factor at high and low pressure limits.

Conclusions:

  • The fluid dynamics surrounding an oscillating microcantilever transition from Newtonian to non-Newtonian as pressure decreases.
  • Experimental results align with the rapidly oscillating flow model based on the Boltzmann equation.
  • This study provides insights into fluidic dissipation in micro-mechanical systems across a wide pressure range.