文章基本信息

标题：Dynamic Stability of Thin-Walled Beams with Graded Material Properties
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作者：Sebastián P. Machado ; Marcelo T. Piovan
期刊名称：Mecánica Computacional
印刷版ISSN：2591-3522
出版年度：2009
卷号：XXVIII
期号：8
页码：553-572
出版社：CIMEC-INTEC-CONICET-UNL
摘要：The dynamic stability of functionally graded thin-walled beams allowing for shear deformability is investigated in this article. The structure is subjected to axial external dynamic loading. The analysis is based on a model that has small strains and moderate rotations that are formulated through the adoption of a second-order non-linear displacement field. Galerkin’s and Bolotin’s methods are employed with the scope to discretize the governing equations and to determine the regions of dynamic instability, respectively. Regions of instability are evaluated and are expressed in non-dimensional terms. The influence of the longitudinal vibration on the unstable regions is investigated. The numerical results show the importance of this effect when the forcing frequency approaches to the natural longitudinal frequency, obtaining substantially wider parametric instability regions. The effect of shear flexibility and axial inertia for beams with different cross-sections and different types of graded material are analyzed as well.