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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

 windscreen image 1
where windscreen image 1 represents a unit point load in one unknown of the state vector. windscreen image 3 is a symmetric positive-definite matrix and  windscreen image 4 where windscreen image 4 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 windscreen image 4 elements). The mesh is shown in Figure 1. The material is glass with the following properties: the Young modulus is windscreen image 4, the density is windscreen image 4, and the Poisson ratio is 0.23. The natural damping is 10%, i.e. windscreen image 4. 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 windscreen image 4. The goal is to estimate windscreen image 4 for windscreen image 4. In order to generate the plots the frequency range was discretized as  windscreen image 4 with windscreen image 14.

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 Kd, M and f accordingly.

Files
File 1   21.5 MB  
windscreen.tar.gz
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