Windscreen (38886)
Structural model of a car windscreen (38886)
Karl Meerbergen
Free Field Technologies, Louvain-la-Neuve, Belgium.
Karl.Meerbergen@fft.be
This is an example for a model in the frequency domain of the form
represents a unit point load in one unknown of the state vector. 
is a symmetric positive-definite matrix and 
where 
is symmetric positive semi-definite.
The test problem is a structural model of a car windscreen.
This is a 3D problem discretized with 7564 nodes and 5400 linear hexahedral
elements (3 layers of 
elements).
The mesh is shown in Figure 1.
The material is glass with the following properties:
the Young modulus is 
,
the density is 
, and
the Poisson ratio is 0.23.
The natural damping is 10%, i.e. 
.
The structural boundaries
are free (free-free boundary conditions). The windscreen is subjected to a
point force applied on a corner.
The goal of the model reduction is the fast evaluation of y.
Modelreduction is used as a fast linear solver for a sequence of parametrized
linear systems.
The discretized problem has dimension 
.
The goal is to estimate 
for 
.
In order to generate the plots the frequency range was discretized
as 
with 
.
Download files in the Matrix Market format: (File 1) (22591107 Bytes). The archive contains files windscreen.K, windscreen.M and windscreen.B representing Kd, M and f accordingly.
While granted ISMRM Summa cum lauda merit award