Next  |  Prev  |  Up  |  Top  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search

Mass-Spring-Wall (Series) Impedance Diagram

\epsfig{file=eps/lseriesid.eps}

\begin{eqnarray*}
F_{\mbox{\normalsize ext}}(s) &=& F_m(s) \; + \; F_k(s)\\ [5pt]
V_{\mbox{\normalsize ext}}(s) &=& V_m(s) \; = \; V_k(s)\\ [5pt]
\Rightarrow\quad
F_{\mbox{\normalsize ext}}(s) &=& V_{\mbox{\normalsize ext}}(s)\cdot \left[ ms + \frac{k}{s}\right]\\ [5pt]
\Rightarrow\quad
R(s) &\mathrel{\stackrel{\mathrm{\Delta}}{=}}& \frac{F_{\mbox{\normalsize ext}}}{V_{\mbox{\normalsize ext}}}{} \; = \; ms + \frac{k}{s}
\end{eqnarray*}


Next  |  Prev  |  Up  |  Top  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search

Download OnePorts.pdf
Download OnePorts_2up.pdf
Download OnePorts_4up.pdf
Visit the online book containing this material.

``Lumped Elements, One-Ports, and Passive Impedances'', by Julius O. Smith III, (From Lecture Overheads, Music 420).
Copyright © 2015-04-09 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA  [Automatic-links disclaimer]