Mechanical domain parametric amplification in multi-degree-of-freedom systems.

Mechanical domain parametric amplification in multi-degree-of-freedom systems.

Nicholas J. Miller / Jan 28, 2020

Mechanical domain parametric amplification in multi degree of freedom systems Parametric amplification or amplification of an oscillator s resonance by periodic variations in its parameters can exist in both degenerate and non degenerate forms in multi degree of freedom mecha

  • Title: Mechanical domain parametric amplification in multi-degree-of-freedom systems.
  • Author: Nicholas J. Miller
  • ISBN: 9780549611080
  • Page: 244
  • Format: NOOK Study eTextbook
  • Parametric amplification, or amplification of an oscillator s resonance by periodic variations in its parameters, can exist in both degenerate and non degenerate forms in multi degree of freedom mechanical systems In particular, micro electro mechanical systems are prime for parametric amplification since common forms of electrostatic forcing produce parametric effects IParametric amplification, or amplification of an oscillator s resonance by periodic variations in its parameters, can exist in both degenerate and non degenerate forms in multi degree of freedom mechanical systems In particular, micro electro mechanical systems are prime for parametric amplification since common forms of electrostatic forcing produce parametric effects In this thesis we demonstrate degenerate parametric amplification in a macro scale mechanical system, and discuss the application of both degenerate and non degenerate amplification in multi degree of freedom systems We present a formulation of expressions for parametric amplification of primary and combination resonances of multiple degree of freedom systems We also show that for systems with appropriate frequency separation, degenerate parametric amplification can be used to produce resonance quality enhancement during frequency sweeps, thus allowing us to enhance the resonance quality observed during a sweep without prior knowledge of resonance location This technique is applied to a multi degree of freedom chemical mass sensor Simulations are presented We also show that under proper excitation conditions, parametric excitation can be used to transfer energy between system modes, but this effect is dependent on the phase between the forcing on the participating modes The results show that with proper conditions, including phase, it is possible to suppress the vibration amplitude of a forced mode to O epsilon , by effectively transferring the forcing to another mode.

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      Posted by:Nicholas J. Miller
      Published :2019-01-01T23:44:43+00:00

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