# 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

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 .

Figure 1 and 2 show the mesh of the car windscreen and frequency response function.Download files in the Matrix Market format: (File 1) (22591107
Bytes). The archive contains files windscreen.K,
windscreen.M and windscreen.B representing
*K _{d}*,

*M*and

*f*accordingly.