| Summary |
Membrane structures have many special problems from their special structural characteristics. One problem is that geometrical
nonlinearity should be incorporated in the static and dynamic analysis because large deformation is generated from their flexible
characteristics. The other problem is that wrinkling occurs occasionally because membrane elements can not transmit compressive
forces.
In this paper， a dynamic analytical method of membrane structures is newly proposed by taking these two problems into consideration. In the analysis， membrane model was replaced with an assembly of cable elements. In order to resolve the wrinkling problem， the cable elements subjected to compressive force are removed automatically when their stressed length becomes shorter than their non-stressed initial length. The Newmark's βmethod is applied for the time integration.
The proposed method was applied to a saddle shaped membrane model having a fixed boundary condition. As the results， the effects of the wrinkling phenomena on the vibration and response behavior of the membrane structures have been definitely grasped and the applicability of the proposed method has been confirmed.
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