Resonance frequency increasing with mass?

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Discussion Overview

The discussion centers on the relationship between mass and resonance frequency in a spring and mass system, particularly in the context of a piezoelectric material with added mass. Participants explore whether the observed increase in resonance frequency with added mass is due to changes in stiffness or other factors.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant notes that in a spring and mass system, resonance frequency typically increases with a decrease in mass, but observes an increase in resonance frequency when adding mass to a piezoelectric material.
  • Another participant questions whether the term "resonance frequency" is being used correctly, suggesting it may refer to natural frequency, which is the fundamental frequency of vibration without external forces.
  • A participant explains that the piezoelectric material is vibrated by an AC voltage and considers whether the changes in resonance frequency are related to the natural frequency of the PZT material.
  • There is a suggestion that the increase in resonance frequency may be due to changes in stiffness resulting from the addition of metal pieces.
  • Clarification is provided that the participant indeed meant natural frequency when referring to resonance frequency.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between mass and resonance frequency, with some suggesting that stiffness changes may play a significant role. The discussion remains unresolved regarding the exact cause of the observed frequency changes.

Contextual Notes

Participants have not fully clarified the definitions of resonance frequency and natural frequency, and the implications of these definitions on the observed phenomena are not settled. The discussion also lacks detailed mathematical analysis of the system.

bulgogii
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For a spring and mass system, I've learned the resonance frequency of a system increases with decrease in mass.

Not sure if this case is also related but when I attach a coin sized metal onto a piezoelectric material of a smaller size, the resonance frequency range actually goes up (from observation by measuring the electrical impedance(ohms) of the piezoelectric material with varying in frequency range). The resonance frequency range keeps going up when I continue attaching metal pieces with an adhesive.

Ain't the resonance frequency range suppose to go down with increase in mass? or is it the stiffness affecting the result??
 
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First of all, when you say resonance frequency do you actually mean natural frequency? that is, the fundamental frequency that the system vibrates in, absent any driving forces?

Secondly, it's very likely that by gluing the larger size metal onto the other smaller material that you are changing the stiffness characteristics as well.
 
Thx for the reply, the metal is vibrated using a small piece of pzt material(acts as actuator&sensor simultaneously) glued to it. the PZT material is vibrated by inputing AC voltage(1 volt) from 10kHz to 90kHz using a function generator. Maybe its the natural frequency of the PZT material?

But as you've mentioned, the change in the resonance frequency range is probably due to the change in the stiffness by attaching additional metal pieces
 
You didn't answer my first question.
 
Yes~ I meant natural frequency when I say resonance frequency
 

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