Matrices: example inverse matrix: flexibility matrix
This example is from the area of finite element analysis. The task is to get the
flexibility matrix [F]. The flexibility matrix is the inverse matrix of the stiffness matrix [K].
The example shows only a 3x3 matrix but there is no size restriction for MasterAllRound.
Let's assume the following stiffness matrix:
To solve this problem, more than one input method exists in MasterAllRound.
We will show you the solution using number symbols (constants).
- Using the smart calculator of MasterAllRound, we declare the
values of the number symbols K11, K12 et cetera first:
|K11 = 171.0
||K12 = -162.2
||K13 = 66.6
|K21 = K12
||K22 = 235.0
||K23 = -162.2
|K31 = K13
||K32 = K23
||K33 = 171.0
- After this, we enter the size of the matrix (n=3)
- We will represent the cells with the number symbols K11, K12 et cetera
- We start the calculation of the inverse matrix by
clicking on the "Invert matrix A" button
The result is:
Here you see the MasterAllRound window with the input and the result matrix:
(To MAR Plus)