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Related Concept Videos

Sound Waves: Resonance01:14

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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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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
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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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Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
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Nonlinear vibrational resonance.

Shyamolina Ghosh1, Deb Shankar Ray

  • 1Indian Association for the Cultivation of Science, Jadavpur, Kolkata-700032, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 16, 2013
PubMed
Summary
This summary is machine-generated.

We found that a high-frequency force can break symmetry in bistable systems, creating a measurable response to a weak low-frequency field. This nonlinear vibrational resonance can be optimized for potential applications.

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Area of Science:

  • Nonlinear Dynamics
  • Vibrational Spectroscopy
  • Complex Systems

Background:

  • Bistable systems exhibit complex behaviors under external forces.
  • Understanding nonlinear responses is crucial for many physical phenomena.

Purpose of the Study:

  • To investigate the nonlinear response of a bistable system subjected to high-frequency driving.
  • To analyze the generation of a second-harmonic response to a weak low-frequency field.

Main Methods:

  • Applying a high-frequency force to a centrosymmetric bistable potential.
  • Introducing a weak low-frequency field to probe the system's response.
  • Analyzing the system's behavior near the linear response regime.

Main Results:

  • The high-frequency force breaks the spatial symmetry of the potential.
  • A finite, nonzero response is observed at the second harmonic of the low-frequency field.
  • This response can be optimized by tuning the high-frequency field's amplitude.

Conclusions:

  • Rapid temporal oscillations can induce asymmetry in symmetric potentials.
  • Nonlinear vibrational resonance offers a mechanism for generating specific harmonic responses.
  • The findings have implications for controlling and utilizing nonlinear system dynamics.