Mathematical treatment of an adjustable surface formed by a fabric of interwoven flexible wires

Albertsen, N.C., S. Christiansen, K. Pontoppidan, S.B. Sørensen


An adjustable surface which seems promising for the design of reflector antennas is investigated mathematically, by deriving the partial differential equation and the boundary condition. The singular solution and an infinite system of particular solutions are given in closed form. The stated boundary value problem is solved approximately by means of the boundary collocation method with oversampling. The solution method is illustrated by some examples, chosen to emphasize the fact that the surface behaves like an orthotropic, elastic plate.

IMM Technical Report 2/96

Last modified February 4, 1997

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