Thermal post-buckling of functionally graded material Timoshenko beams with surface-bonded piezoelectric layers

	Thermal post-buckling of functionally graded material Timoshenko beams with surface-bonded piezoelectric layers
	Su, Hou-De 2,3; Li, Shi-Rong 1,3; Gao, Ying 3
刊名	Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics
	2010-12-01
卷号	27 期号:6 页码:1067-1072
关键词	Beams and girders Boundary value problems Functionally graded materials Nonlinear equations Particle beams Piezoelectricity Plates (structural components) Buckling and post-buckling Nonlinear boundary value problems Piezoelectric beam Shoot method Thermal buckling Thermoelectromechanical loading Timoshenko beams Transverse shear deformation
ISSN号	10074708
英文摘要	Post-buckling of functionally graded material Timoshenko beams with surface-bonded piezoelectric layers subjected to temperature rise and electric field is studied. By accurately considering the axial extension and transverse shear deformation in the sense of theory of Timoshenko beam, geometrically nonlinear governing equations, for functionally graded beams subjected to thermo-electro-mechanical loadings were formulated. In the analysis, it was assumed that the material properties of the beam vary continuously as a power function of the thickness coordinate and that the piezoelectric layers are isotropic and homogenous. By using a shooting method, the obtained nonlinear boundary value problem was numerically solved and buckling and post-buckling response of the beams with the both ends fixed and subjected to transversely non-uniform heating and uniform electric field were presented. Characteristic curves of the post-buckling deformation of the beam varying with thermal load, the electrical load, and the power law index are plotted. Numerical results show that the tensional force produced in the piezoelectric layers by the voltage can efficiently increase the critical buckling temperature and defer the thermal post-buckling to occur. Due to being transversely non-uniform in the material properties, there exists tension-bending coupling effects in the beam even in uniform temperature rise in the thickness direction. However, for the piezoelectric-FGM beam with the two ends fixed the post-buckling is also bifurcation form under transversely non-uniform temperature rise.
语种	中文
出版者	Editorial Office of Chinese Journal of Computational Mechanics
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/111977]
专题	马克思主义学院
作者单位	1.School of Civil Science and Engineering, Yangzhou University, Yangzhou 225009, China; 2.Lanzhou Petroleum Machinery Research Institute, Lanzhou 730050, China 3.School of Science, Lanzhou University of Technology, Lanzhou 730050, China;
推荐引用方式 GB/T 7714	Su, Hou-De,Li, Shi-Rong,Gao, Ying. Thermal post-buckling of functionally graded material Timoshenko beams with surface-bonded piezoelectric layers[J]. Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics,2010,27(6):1067-1072.
APA	Su, Hou-De,Li, Shi-Rong,&Gao, Ying.(2010).Thermal post-buckling of functionally graded material Timoshenko beams with surface-bonded piezoelectric layers.Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics,27(6),1067-1072.
MLA	Su, Hou-De,et al."Thermal post-buckling of functionally graded material Timoshenko beams with surface-bonded piezoelectric layers".Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics 27.6(2010):1067-1072.