Enriched Finite Element for Modal Analysis of Cracked Plates

被引:6
作者
Bachene, M. [1 ]
Tiberkak, R. [2 ]
Rechak, S. [3 ]
Maurice, G. [4 ]
Hachi, B. K. [5 ]
机构
[1] Univ Medea, Mech Phys & Math Modeling Lab, Medea, Algeria
[2] Univ Blida, Dept Mech Engn, Blida, Algeria
[3] Natl Polytech Sch Algiers, Mech Engn & Dev Lab, Quito, Algeria
[4] LEMTA, ENSEM, INPL, F-54504 Nancy, France
[5] CUD, Dept Electromech Engn, Djelfa 17000, Algeria
来源
DAMAGE AND FRACTURE MECHANICS: FAILURE ANALYSIS OF ENGINEERING MATERIALS AND STRUCTURES | 2009年
关键词
Vibratory Behavior; Natural Frequencies; X-FEM; Cracked Plates; RECTANGULAR-PLATES; VIBRATION;
D O I
10.1007/978-90-481-2669-9_49
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this Paper, the extended finite element method (X-FEM) is adopted then numerically implemented for the analysis of the vibratory behaviour of isotropic homogeneous plates having a through crack located at various positions. The mathematical model includes the effects of rotary inertia and transverse shear deformation. Various applications including plates with central crack and edge crack are considered. The results obtained in terms of Eigen frequencies with respect to the crack length show a net decrease in the frequency with an increase in the crack length. This physical effect is more pronounced for particular vibratory modes as it also depends on the nature of the crack. Overall, the present results compare well with the experimental, analytical, and numerical results consulted in the literature.
引用
收藏
页码:463 / +
页数:2
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