Abstract
Equilibrium states of a rotating circular membrane subjected to a transverse distributed load are investigated. In order to analyze large transverse deformations of an extremely thin membrane, rotationally symmetric deformations are assumed and the membrane theory of shells of revolution and the von Karman theory are applied to formulate basic equilibrium equations. Numerical integration method of the equilibrium equations are proposed taking account of buckling due to large transverse deformation and approximate displacements, stress and strain distributions in equilibrium states are obtained while the method cannot give buckling waves. The results based on the two theories are compared and it is found that the results are approximately the same even when the transverse deflection is extremely larger than the thickness and the applicable scope of the von Karman theory is estimated. An experiment is also conducted to measure transverse displacements of a rotating circular membrane under gravity in vacuum with a wide range of rotation speeds. It is shown that the displacements given by the analyses fit into the displacements measured by the experiment.
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