Environmental Engineering Reference
In-Depth Information
NASTRAN Finite Element Modeling
The general-purpose structural analysis code
NASTRAN
is the software commonly used
for modeling a wind turbine in finite elements to determine its natural vibration modes.
Before presenting an example of the modeling, a short description of the NASTRAN calcu-
lational procedure is in order, as it is applied to this specific problem. Two of the available
NASTRAN
rigid format
options are used in the modeling effort. First, a static analysis
with geometric stiffening effects is performed on the model under the action of centrifugal,
gravitational, and boundary forces. The resulting modified stiffness matrix (
K + K
G
in Eq.
(11-43)) is then retained
via
a modest amount of
DMAP
programming for use in the
subsequent complex eigenvalue analysis (the second rigid format).
NASTRAN users are provided with a choice of several complex eigensolvers. One
employs the
upper-Hessenberg
method and is very efficient. A method that has been used
successfully for the modal analysis of wind turbines is to first model the structure with the
necessary number of degrees of freedom, then use a standard
Guyan reduction
procedure
(also a NASTRAN option) to reduce the degrees of freedom to a manageable number
(approximately 100) and then apply the upper-Hessenberg method.
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