File:Amplitude magnification factor resonance curve (dynamic vibration absorber without damping).png

${\displaystyle {\frac {X_{m}}{x_{st}}}={\frac {\omega _{m}^{2}(\omega _{a}-\Omega ^{2})}{(\omega _{1}^{2}-\Omega ^{2})(\omega _{2}^{2}-\Omega ^{2})}}}$

${\displaystyle {\dbinom {\omega _{1}}{\omega _{2}}}={\sqrt {\frac {\omega _{m}^{2}+(\mu +1)\omega _{a}^{2}\mp {\sqrt {\left[\omega _{m}^{2}+(\mu -1)\omega _{a}^{2}\right]^{2}+4\mu \omega _{a}^{4}}}}{2}}}}$