fix(ch6): correct forced vibration coefficient collection

This commit is contained in:
Worker Agent
2026-06-04 16:25:40 -05:00
parent 2666b3ac67
commit 2b4e580bac

View File

@@ -441,16 +441,16 @@ Differentiating:
Substitute into \cref{eq:forced_vibration}:
\[
\bigl[-m\omega^2 A - c\omega\omega B + kA\bigr]\cos(\omega t)
+ \bigl[-m\omega^2 B + c\omega A + kB\bigr]\sin(\omega t)
\bigl[-m\omega^2 A + c\omega B + kA\bigr]\cos(\omega t)
+ \bigl[-m\omega^2 B - c\omega A + kB\bigr]\sin(\omega t)
= F_0\cos(\omega t).
\]
Equating coefficients:
\[
\begin{cases}
(k - m\omega^2)A - c\omega B = F_0, \\
c\omega A + (k - m\omega^2)B = 0.
(k - m\omega^2)A + c\omega B = F_0, \\
-c\omega A + (k - m\omega^2)B = 0.
\end{cases}
\]