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Composing a stiffness matrix

  • To: mathgroup at
  • Subject: [mg20328] Composing a stiffness matrix
  • From: "Toshiyuki (Toshi) Meshii" <meshii at>
  • Date: Fri, 15 Oct 1999 20:20:51 -0400
  • Sender: owner-wri-mathgroup at


I am wondering whether we can use Mathematica to systematically compose a
stiffness matrix in Finite Element Method.
Please give me an advice on this problem.

An example problem is as follows:
I know
   Eq (1)   {f1,f2}={{ka,-ka},{-ka,ka}}・瘢雹{u1,u2}
   Eq (2)   {f2,f3}={{kb,-kb},{-kb,kb}}・瘢雹{u2,u3}
and want to construct Eq (3) from these two equations systematically.
   Eq (3)   {f1,f 2,f3}=K・瘢雹{u1,u2,u3}
Here, matrix K is called a stiffness matrix and it's elements are
How can we construct matrix K in Eq  (3) from Eq (1) and Eq (2) by using
Mathematica's commands ?

   Toshiyuki (Toshi) Meshii  meshii at
    Associate Professor, Department of Mechanical Engineering
    Fukui University, 3-9-1 Bunkyo, Fukui, 910-8507, JAPAN
     Tel & Fax +81-776-27-8468

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