Geometrically Nonlinear Static Analysis of Edge Cracked Timoshenko Beams Composed of Functionally Graded Material

被引:34
|
作者
Akbas, Seref Doguscan
机构
[1] Şehit Muhtar Mah. Öǧüt Sok, No:2/37, 34435 Beyoǧlu, Istanbul
关键词
POSTBUCKLING ANALYSIS; INHOMOGENEOUS BEAMS; FREE-VIBRATION;
D O I
10.1155/2013/871815
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Geometrically nonlinear static analysis of edge cracked cantilever Timoshenko beams composed of functionally graded material (FGM) subjected to a nonfollower transversal point load at the free end of the beam is studied with large displacements and large rotations. Material properties of the beam change in the height direction according to exponential distributions. The cracked beam is modeled as an assembly of two subbeams connected through a massless elastic rotational spring. In the study, the finite element of the beam is constructed by using the total Lagrangian Timoshenko beam element approximation. The nonlinear problem is solved by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. The convergence study is performed for various numbers of finite elements. In the study, the effects of the location of crack, the depth of the crack, and various material distributions on the nonlinear static response of the FGM beam are investigated in detail. Also, the difference between the geometrically linear and nonlinear analysis of edge cracked FGM beam is investigated in detail.
引用
收藏
页数:14
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