Abstract

Natural frequencies and modes are obtained for a rectangular hanging net or curtain whose horizontal fibers or cables are under uniform tension and whose vertical fibers or cables are acted on by a non-uniform tension produced by gravity. Mass and tension are averaged, thereby converting a net into an orthotropic membrane of equivalent mass and tension distribution. A closed form analytical solution of this approximate mathematical model is given. To verify the solution and to explore its limitation, the hanging net is also solved by a finite element schema, and the additional case of a net stretched uniformly over a rigid frame is treated.

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