Template:Equations for the eigenfunctions of a free beam - Revision history

Meylan at 10:40, 8 April 2009

2009-04-08T10:40:07Z

← Older revision		Revision as of 10:40, 8 April 2009
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	We can find eigenfunctions which satisfy		We can find eigenfunctions which satisfy
	<center>		<center>
	<math>\partial_x^4 ~~w_n~~ = \lambda_n^4 ~~w_n~~		<math>\partial_x^4 X_n = \lambda_n^4 X_n
	\,\,\, -L \leq x \leq L		\,\,\, -L \leq x \leq L
	</math>		</math>
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	plus the edge conditions of zero bending moment and shear stress		plus the edge conditions of zero bending moment and shear stress
	<center><math>\begin{matrix}		<center><math>\begin{matrix}
	\partial_x^3 ~~w_n~~= 0 \;\;\;\; \mbox{ at } z = 0 \;\;\; x = \pm L,		\partial_x^3 X_n= 0 \;\;\;\; \mbox{ at } z = 0 \;\;\; x = \pm L,
	\end{matrix}</math></center>		\end{matrix}</math></center>
	<center><math>\begin{matrix}		<center><math>\begin{matrix}
	\partial_x^2 ~~w_n~~ = 0 \;\;\; \mbox{ at } z = 0 \;\;\; x = \pm L.		\partial_x^2 X_n = 0 \;\;\; \mbox{ at } z = 0 \;\;\; x = \pm L.
	\end{matrix}</math></center>		\end{matrix}</math></center>

Mike smith: spelling/grammar

2009-03-25T05:16:55Z

spelling/grammar

← Older revision		Revision as of 05:16, 25 March 2009
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	We can find ~~a the eigenfunction~~ which satisfy		We can find eigenfunctions which satisfy
	<center>		<center>
	<math>\partial_x^4 w_n = \lambda_n^4 w_n		<math>\partial_x^4 w_n = \lambda_n^4 w_n

Meylan: Template:Equations for a eigenfunction of a free beam moved to Template:Equations for the eigenfunctions of a free beam

2009-03-23T02:01:35Z

Template:Equations for a eigenfunction of a free beam moved to Template:Equations for the eigenfunctions of a free beam

← Older revision	Revision as of 02:01, 23 March 2009
(No difference)

Meylan at 01:57, 23 March 2009

2009-03-23T01:57:51Z

New page

We can find a the eigenfunction which satisfy
<center>
<math>\partial_x^4 w_n = \lambda_n^4 w_n
\,\,\, -L \leq x \leq L
</math>
</center>
plus the edge conditions of zero bending moment and shear stress
<center><math>\begin{matrix}
\partial_x^3 w_n= 0 \;\;\;\; \mbox{ at } z = 0 \;\;\; x = \pm L,
\end{matrix}</math></center>
<center><math>\begin{matrix}
\partial_x^2 w_n = 0 \;\;\; \mbox{ at } z = 0 \;\;\; x = \pm L.
\end{matrix}</math></center>