Re: nontrivial solution of Euler-beam problem?
- To: mathgroup at smc.vnet.net
- Subject: [mg84657] Re: nontrivial solution of Euler-beam problem?
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Tue, 8 Jan 2008 01:35:00 -0500 (EST)
- Organization: Uni Leipzig
- References: <flslfs$poc$1@smc.vnet.net>
- Reply-to: kuska at informatik.uni-leipzig.de
Hi,
you try to solve an eigenvalue problem. An eigenvalue
problem has only the trivial solution or an infinite number
of solution but never a unique of a finite number of
solutions that DSolve[] can find.
Regards
Jens
bar at ANTYSPAM.ap.krakow.pl wrote:
> Hello,
>
> When I try solve Euler beam ( without time, with nondimensional coordinate)
> ---
> euler = F''''[x] + Pi^4 om2 F[x];
> sol = DSolve[{euler == 0, F[0] == 0, F[1] == 0, F''[0] == 0, F''[1] == 0.0},
> F[x], x];
> ---
> Mathematica calculated only trivial (F=0) solution, for any om2
>
> Is it possible to obtain different modes
> looks like
> F_n[x]=A_n Sin[n Pi x] ?
>
> This function simply satisfy euler==0 equation with above
> boundary conditions for om2=n^4
>
> Regards, Olaf
>
>
>