about PDE of 4th degree
- To: mathgroup@smc.vnet.net
- Subject: [mg12220] about PDE of 4th degree
- From: Fernando Marcos Santana Barreto <barreto@fec.unicamp.br>
- Date: Fri, 1 May 1998 03:09:07 -0400
Hello, my friends
I am Civil Engeniering student at University State of Campinas and I am
in trouble because I am doing a reseach in structures area - Theory of
plates and I need to solve this DPE
DSolve[{D[w1[x,y],{x,4}]+2*D[D[w1[x,y],{x,2}],{y,2}]+
D[w1[x,y],{y,4}]==q/d,
D[w1[x,y],x]==0/.x->0,D[w1[x,y],x]==0/.x->a,
D[w1[x,y],y]==0/.y->0,D[w1[x,y],y]==0/.y->b,
w1[0,y]==0,w1[a,y]==0,w1[x,0]==0,w1[x,b]==0} ,
Using diferents Boundary conditions,
but the Mathematica don' t solving imediately this kind of equations so
I am thinking using the solutions classical by theory of plates and
shells- Timoshenko in this book there is two types of analitical
solution:
By double series senos -- Navier Solution By simply series senos -- Levy
Soluction
then I you try to create at Mathematica a form of solution using
diferent boundary conditions.
But It's kind of analitical soluction is very oldest and may be there is
one package about solution PDE at Mathematica
What do you think about it?
PS. I send my question for the tecnical suport at wolfram rtesearch but
they couldn't help-me..
Could you Help-me Please
Thank you
Fernando Barreto