I found via this forum the hint to use the inverse squared equation to differentiate to find the resonance frequency from the amplitude equation (equilibrium not transient solution). Thank you! (AlephZero?)(adsbygoogle = window.adsbygoogle || []).push({});

When substituting the resulting frequency for the resonance into the amplitude equation, I find the amplitude is a function of the mass of the mechanical oscillator. This violates centuries of horological experience!

bgc

p.s. Amp. (at resonance) = F/m / [dissipation constant/m * {W(0)^2 - (d.c./(m*2)^2)}^0.5]

The first two m's cancel (good), but there is another, bad! [The dissipation constant /m is the coefficient of the speed term in the driven damped (linear) harmonic oscillator differential equation; F is the amplitude of the sinusoidal forcing function]

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# SH driven oscillator amplitude at resonance equation

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