Abstract
An accurate analytical method is described for establishing initial stress distributions in corner-tensioned rectangular membranes. With the stress distributions available it is shown how the Rayleigh-Ritz method is employed to obtain membrane free vibration frequencies and mode shapes. The initial stress distributions are obtained by the superposition of three judiciously chosen Airy stress functions. Verification tests are performed to demonstrate that this general computational method gives results in agreement with known classical problems where uniform edge loading is employed. The method described has immediate application in the static and dynamic analysis of large membranes proposed for space antennae.
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