Re: Need simple equations for vibration motion

Approximately Q g /w^2 where Q is amplification factor at natural
frequeny f (2 pi f = w) , g acceleration due to gravity.

Robert A. Macy wrote:
> This EE needs some help in mechanicals [not a school project, either]
>
> I need to estimate the amount of displacement vibration will cause.
> Are there any simple equations to find this?
>
> Picture a diaphragm of metal that has a piezo transducer mounted on it
> to make it vibrate.
>
> Given:
> metal characteristics:
> mass density: 170 pounds per cu ft
> Young's modulus: ?? speed of sound is 6420 m/s
> thickness: 40 mils
> diameter of disk, mounted around outside edge approx 3 inch diam
> frequency: at resonance? 43KHz
> power: around 1 Watt
>
> Find the displacement of the maximum displacement of the diaphragm.
> Assume at center
>
> This should be easy for youse guys, eh?
>
> - Robert -
>
> My guess was 5 mils. How far off?

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