Characterization of the static response of a two-dimensional elastic network

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• Onofrei, D (Utah)
• Wednesday 28 July 2010, 12:45-13:00
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Mustapha Amrani.

Analysis on Graphs and its Applications

We will show that, in the 2D static case , any positive semidefinte and balanced matrix $W$ is the response matrix of a purely elastic planar network. Moreover we will present a constructive proof for the fact that the network we design for a particular response matrix $W$ can fit within an arbitrarily small neighborhood of the convex hull of the terminal nodes, provided the springs and masses occupy an arbitrarily small volume.

This talk is part of the Isaac Newton Institute Seminar Series series.

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