Free vibration of functionally graded circular plates with/without thermal post-buckling deformation
Based on von Kamans classical plate theory and Hamiltons principle, the governing equations associated with boundary conditions for the large amplitude free vibration of functionally graded material circular plates in a temperature rise filed are formulated. By using shooting method to solve simultaneously the governing equations both for thermal post-buckling and vibration, numerical solutions of thermal post-buckling equilibrium paths and the first two lowest natural frequencies depending on the temperature rise of the FGM circular plates with immovably simply supported boundary are obtained. The effects of the parameters of material gradients and temperature field on the responses of post-bucking and vibration of the plate are examined.
Shi-rong Li Liang-Hang Fan
Department of Engineering Mechanics, Lanzhou University of Technology, Lanzhou 730050, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
447-454
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）