WikiWaves:Test - Revision history

Meylan: Reverted edits by EeuUg7 (EeuUg7); changed back to last version by Funkalot

2007-04-10T21:26:08Z

Reverted edits by EeuUg7 (EeuUg7); changed back to last version by Funkalot

← Older revision		Revision as of 21:26, 10 April 2007
Line 5:		Line 5:
	\left\{		\left\{
	\begin{array}{l}		\begin{array}{l}
	\ddot r - \gamma\ddot r_{ss} r_{ssss}=(\tau r_s)_s,\ \ r_s.r_s=1,\\		\ddot r - \gamma\ddot r_{ss} + r_{ssss}=(\tau r_s)_s,\ \ r_s.r_s=1,\\
	r(0,t)=(0,0), \;\; r_{s}(0,t)=(1,0),\\		r(0,t)=(0,0), \;\; r_{s}(0,t)=(1,0),\\
	(\gamma\ddot r_s \tau r_{s}-r_{sss})\|_{(1,t)}=-\alpha\dot{r}(1,t),\		(\gamma\ddot r_s+\tau r_{s}-r_{sss})\|_{(1,t)}=-\alpha\dot{r}(1,t),\
	r_{ss}(1,t)=-\beta\dot r_s(1,t),\\		r_{ss}(1,t)=-\beta\dot r_s(1,t),\\
	r(s,0)=r_0(s),\ \dot r(s,0)=r_1(s).		r(s,0)=r_0(s),\ \dot r(s,0)=r_1(s).

GdrSxd at 15:10, 10 April 2007

2007-04-10T15:10:42Z

← Older revision		Revision as of 15:10, 10 April 2007
Line 5:		Line 5:
	\left\{		\left\{
	\begin{array}{l}		\begin{array}{l}
	\ddot r - \gamma\ddot r_{ss} + r_{ssss}=(\tau r_s)_s,\ \ r_s.r_s=1,\\		\ddot r - \gamma\ddot r_{ss} r_{ssss}=(\tau r_s)_s,\ \ r_s.r_s=1,\\
	r(0,t)=(0,0), \;\; r_{s}(0,t)=(1,0),\\		r(0,t)=(0,0), \;\; r_{s}(0,t)=(1,0),\\
	(\gamma\ddot r_s+\tau r_{s}-r_{sss})\|_{(1,t)}=-\alpha\dot{r}(1,t),\		(\gamma\ddot r_s \tau r_{s}-r_{sss})\|_{(1,t)}=-\alpha\dot{r}(1,t),\
	r_{ss}(1,t)=-\beta\dot r_s(1,t),\\		r_{ss}(1,t)=-\beta\dot r_s(1,t),\\
	r(s,0)=r_0(s),\ \dot r(s,0)=r_1(s).		r(s,0)=r_0(s),\ \dot r(s,0)=r_1(s).

Funkalot at 07:09, 9 April 2006

2006-04-09T07:09:35Z

New page

Here is a link [[Main Page]].

Here is some <math>
\begin{equation}
\left\{
\begin{array}{l}
\ddot r - \gamma\ddot r_{ss} + r_{ssss}=(\tau r_s)_s,\ \ r_s.r_s=1,\\
r(0,t)=(0,0), \;\; r_{s}(0,t)=(1,0),\\
(\gamma\ddot r_s+\tau r_{s}-r_{sss})|_{(1,t)}=-\alpha\dot{r}(1,t),\
r_{ss}(1,t)=-\beta\dot r_s(1,t),\\
r(s,0)=r_0(s),\ \dot r(s,0)=r_1(s).
\end{array}\right.
\end{equation}</math>

and a picture:
\begin{figure}[ht]
\begin{center}
\begin{pspicture}(0,-1.5)(10,1.5)
\psplot[linecolor=lightgray,linewidth=10pt]{0}{10}{x .07 mul 2 exp x .07 mul .5
sub mul x .07 mul .8 sub mul 600 mul x .07 mul 5 add div}
\psline[linecolor=lightgray,linewidth=10pt](-.3,0)(0,0)
\psframe[linestyle=dashed,dash=5pt 8pt](-.3,-.22)(10,.22)
\psline[linestyle=dashed]{|<->|}(4,0)(4,1)
\rput(4.9,1){$y(x,t)$}
\psline[arrowsize=6.5pt,arrowlength=1.5]{->}(0,0)(11,0)
\psline[arrowsize=6.5pt,arrowlength=1.5]{<->}(0,-1.5)(0,1.5)
\rput(-.3,1){$y$}
\rput(10.5,-.2){$x$}
\rput(9.9,.6){$x=1$}
\end{pspicture}
\caption{\small The linear beam}
\label{f1}\end{center}
\end{figure}