P. 359, peak time derivation: Revision history

7 August 2024

• curprev 19:5119:51, 7 August 2024‎ Goodwine talk contribs‎ 883 bytes +105‎ No edit summary
• curprev 19:0019:00, 7 August 2024‎ Goodwine talk contribs‎ 778 bytes +778‎ Created page with "The final result is correct, but there are multiple mistakes in the derivation of the peak time. The derivation should be: <math> \frac{d}{dt} y(t) = \zeta \omega_n e^{-\zeta \omega_n t} \left( \cos \omega_d t + \frac{\zeta}{\sqrt{1 - \zeta^2}} \sin \omega_d t \right) - e^{-\zeta \omega_n t} \left(- \omega_d \sin \omega_d t + \frac{\zeta \omega_d}{\sqrt{1 - \zeta^2}} \cos \omega_d t \right) </math> <math> \frac{d}{dt} y(t) = \zeta \omega_n e^{-\zeta \omega_n t} \left(..."