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A simplified analysis of doubly symmetric tube structures by the finite difference method

✍ Scribed by Takabatake, Hideo


Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
848 KB
Volume
5
Category
Article
ISSN
1062-8002

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✦ Synopsis


This paper demonstrates a simple but accurate analytical method usable for the preliminary design stages of doubly symmetric single and double frame-tubes with braces in high-rise structures. The present method is formulated by replacing the tube with an equivalent rod, in which the effects of bending, transverse shear deformation, shear-lag and torsion are considered. The static analysis and free vibration are presented by applying the ordinary finite difference method to the governing equation for a double symmetric tube proposed by Takabatake et al. (1993). The dynamic analysis is taken from modal analysis. Static and dynamic numerical computations are carried out for doubly symmetric single and double frame-tubes with braces. The results obtained from the theory proposed here are in good agreement with results obtained from three-dimensional frame analysis using the FEM codes NASTRAN and DEMOS. 9 9 l o demonstrated a simplified analysis for a doubly symmetric tube structure in which a frame-tube structure is replaced with an equivalent rod, including the effects of bending, transverse shear deformation and shear-lag. The discontinuous variation of the mass and rigidity of the variable tube structures is expressed continuously, in the sense of a general function, by means of a characteristic function extended Dirac function. In order to propose analytical closed-form solutions for static and dynamic analyses of doubly symmetric tube structures, these theories use engineering approximations and continuous eigenfunctions expressed explicitly by fundamental mathematical expressions. Therefore, the variation of


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