2.1 Basic equations of the system

Next we consider the basic equations of the system described by the transfer matrix equations (1.48):

$$\mathbf{\widehat{IU}}\cdot\mathbf{\widehat{Z}} = \mathbf{\stackrel{\rm\circ}{Z}}$$ (2.2)

where

$$\mathbf{\widehat{Z}} = \left[\begin{array}{c} \mathbf{Z_{L}} \\ \mathbf{Z_{A}} \end{array}\right]$$ (2.3)

$\mathbf{Z_{L}}$, $\mathbf{Z_{A}}$ are the vectors of displacements and forces at the end and at the beginning of the element, respectively, and $\mathbf{\stackrel{\rm\circ}{Z}}$ is the loading vector of the element from Eq. (1.46) at $x=l$.

To insert the system of basic equations (2.2) into the system of Eq. (2.1), the GNU Octave functions ysplvfmhvI.m (p. ), yzhqz.m (p. ), yzfzv.m (p. ), spInsertBtoA.m (p. ), InsertBtoA.m ) are used. The procedure of inserting is given in excerpt 2.1 from the program.

Program excerpt 2.1 (The basic equations. LaheFrameDFIm.m )