Analytic calculations for piezoelectric materials

AI Thread Summary
Analytical calculations for piezoelectric materials focus on determining the theoretical output voltage generated from known vibrations. The discussion emphasizes the importance of understanding the material properties and the displacement caused by vibrations to calculate electrical energy conversion. A case study on using piezoelectric materials for energy generation from bicycle vibrations is highlighted, which includes relevant mathematical modeling. Participants are encouraged to share links or articles that provide further insights into this topic. The conversation seeks to clarify the relationship between mechanical displacement and electrical output in piezoelectric systems.
billybomb87
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Lets assume that all properties of a piece of piezoelectrical material are known, how should the analytical calculations be performed if the goal is to convert a vibration into electrical energy? What I'm looking for is the theoretical output voltage one can achieve for a known vibration.

To simplify, let's say that the magnitude of the vibrations are known (i.e. how much the vibrations displces the PZT from its equilibrium).

Any tips on links or articles are more than welcome!
 
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Here's a nice case study on piezoelectric material for power generation using bicycle vibration. This article provides the mathematical modeling that relates piezoelectric displacement with electrical energy.
 
StrykerTECH, where is the study you spoke about? I did not find it.
 
Oh thanks, I forgot to hit the attach button.
 

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