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

Wednesday 28th July 2010 - 12:45 to 13:00
INI Seminar Room 1
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons