ANALYTICAL PROCEDURE OF STABILIZING PROCESS OF MEMBRANE STRUCTURES REPRESENTED AS ASSEMBLIES OF QUADRILATERAL RIGID PLATE

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Publication year 1990
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Title ANALYTICAL PROCEDURE OF STABILIZING PROCESS OF MEMBRANE STRUCTURES REPRESENTED AS ASSEMBLIES OF QUADRILATERAL RIGID PLATE
Author Ken-ichi MIYAZAKI,Ken-ichi KAWAGUCHI,Yasuhiko HANGAI
Summary Lots of membrane structures are constructed being largely deformed and formed into the desired shapes in the instant of erection at the sites. The inflation of the air supported dome is a good example. Therefore, it is necessary at the design stage to grasp how the membrane structures will be stabilized from the given initial state to the final position under the given load conditions. The authors have already proposed the numerical procedure for the analyses of the large displacement process of structural mechanisms. This procedure is fundamentally based on the generalized incremental method which is effectively using the theory of generalized inverse matrix. In this paper, aforesaid procedure is applied to the analyses of the large displacement process of membrane structures. At the first, the fundamental equations in which the membrane structures are represented as assemblies consisting of rigid plates are derived. Secondly, some numerical examples are illustrated to show the validity of analyses.