5.3 Solutions of governing equations
We shall now apply the techniques of subsection 1.2.1 to establish the transfer matrix
for a beam element subjected to an axial force . The differential equation for a compressive axial force
will be obtained from Eq. (5.30):
|
|
|
(5.33) |
For a tensile axial force
|
|
|
(5.34) |
We will be looking for the general solution of
the non-homogeneous differential equation (5.33) in the form
|
|
|
(5.35) |
where
,
are parameter values of the searchable function at
;
are a normed fundamental set to
the associated homogeneous differential equation, and
is the particular solution of the non-homogeneous differential equation.
Subsections
andres
2014-09-09