Finite element method for axial and bending coupling effect on free vibration response of functionally graded beams under thermal environment

被引:17
作者
Youzera, Hadj [1 ]
Meftah, Sid Ahmed [2 ]
Selim, Mahmoud M. [3 ]
Tounsi, Abdelouahed [4 ,5 ,6 ]
机构
[1] Univ Mustapha Stambouli, Fac Sci & Technol, Dept Genie Civil, Lab Etud Struct & Mecan Mat, Mascara, Algeria
[2] Univ Djillali Liabes Sidi Bel Abbes, Lab Modelisat & Simulat Multiechelle, Sidi Bel Abbes, Algeria
[3] Sattam bin Abdulaziz Univ, Al Aflaj Coll Sci & Humanities, Dept Math, Al Aflaj, Saudi Arabia
[4] Yonsei Univ, YFL Yonsei Frontier Lab, Seoul, South Korea
[5] King Fahd Univ Petr & Minerals, Dept Civil & Environm Engn, Dhahran, Eastern Provinc, Saudi Arabia
[6] Univ Djillali Liabes Sidi Bel Abbes, Civil Engn Dept, Fac Technol, Mat & Hydrol Lab, Sidi Bel Abbes, Algeria
关键词
FGM beam; finite element method; temperature effect; shear locking; axial-bending coupling; free vibration; FGM BEAMS; MICRO-PLATES; COMPOSITE;
D O I
10.1080/15376494.2021.1979140
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this study, the finite element approach for linear vibration analysis of FGM beams under various thermal loads is investigated. The formulation is developed by using CPT, FSDT and HSDT kinematical models, in conjunction with the Hamilton's principle to obtain the governing equations of motion. Following, one-dimensional finite element that integrating shear and thermal stress is formulated for free vibration analysis. Based on the obtained results, a conceptual analysis is conducted to assess the effects of shear deformation, aspect ratio and thermal effect on fundamental frequencies of FGM beams, under various boundary conditions.
引用
收藏
页码:6436 / 6450
页数:15
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