VIBRATION ANALYSIS OF MEMBRANE STRUCTRURES BY USING BILINEAR QUADRlLATERAL MEMBRANE ELEMENT WITH ONE-POINT QUADRATURE

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Publication year 1992
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Title VIBRATION ANALYSIS OF MEMBRANE STRUCTRURES BY USING BILINEAR QUADRlLATERAL MEMBRANE ELEMENT WITH ONE-POINT QUADRATURE
Author Norio MASAOKA
Summary Various attempts have recently been undertaken to know dynamic nonlinear mechanical behavior of complex surfaced membrane structures. In the present paper,fundamental vibration characteristics of suspension membrane structures is undertaken to be analyzed by bilinear quadrilateral membrane elements with one-point quadrature based on the reduced integration technique, which are recognized to have high computation efficiency. Firstly,this paper briefly represents nonlinear response analytical method using the Newmark'β method applied for the time integration. And the present analytical algorithm is examined by lateral vibration analysis of the square membrane in comparison with its real solution and also solutions by the other kinds of elements. Then,fundamental effect of viscous damping to the vibration is investigated by using this membrane. Next,free vibration characteristics of the hyperbolic parabolic membrane,one of the basic example of the suspension membrane structures,is analyzed taking consideration of effects of the several design condition. Also it is investigated effects of three kinds of proportional dampings to the analytical solution.