nontrivial solution of Euler-beam problem?
- To: mathgroup at smc.vnet.net
- Subject: [mg84625] nontrivial solution of Euler-beam problem?
- From: bar at ANTYSPAM.ap.krakow.pl
- Date: Mon, 7 Jan 2008 02:41:48 -0500 (EST)
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