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MathGroup Archive 2002

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Bending line

  • To: mathgroup at smc.vnet.net
  • Subject: [mg37432] Bending line
  • From: Stefan Sollerer <solli at sbox.tugraz.at>
  • Date: Tue, 29 Oct 2002 00:09:30 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi!

The following function (for 3 arrays) is given:

q[x_] :=
   {
    {
     {q1*x/l1}, {x, 0, l1}
    }, {
     {-q2}, {x, l1, l2}
    }, {
     {(-q2)*(x^2/l3^2 - 2*x/l3 + 1)}, {x, l2, l3}
    }
   }

as an example, in the array x=l1->l2 the function q[x]=-q2.
The number of arrays can change.

I have to find out the function for w[x] where
w''''[x]=q[x].

The transition condition are
w_1[x]=w_2[x];
w_1'[x]=w_2'[x];
w_1'[x]=w_2'[x];
where 1 and 2 indicate the arrays. Arrays 2 and 3 (and 3-4, 4-5,...) 
have to satisfy the same conditions.
How can I solve the problem? I first thought that a combination of 
'DSolve' and 'Do' can do it, but I was wrong.

Thanks for any hint,

Stefan



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