Free vibration of heated circular FGM plate on first-order theory | |
Fu, Xiaohua; Li, Shirong | |
2008 | |
会议日期 | July 6, 2008 - July 10, 2008 |
会议地点 | Daejeon, Korea, Republic of |
关键词 | Boundary conditions Boundary value problems Composite structures Heat conduction Mindlin plates Natural frequencies Ordinary differential equations Shear deformation First order shear deformation plate theory First order theories First-order shear deformation theory Fixed boundary conditions Functionally graded plates One-dimensional heat Temperature rise parameters Two point boundary value problems |
卷号 | 2 |
页码 | 1522-1529 |
英文摘要 | Based on the first-order shear deformation theory for Mindlin plate, response of circular functionally graded plates under transversely uniform heating is presented. By assuming that the material properties of the plate vary only along the thickness direction in power law function, the temperature filed is arrived at by solving the one dimensional heat conduction equation. By introducing harmonic vibration modes, the time variable is eliminated and the governing equations were reduced into a two-point boundary value problem of ordinary differential equations. By using shooting method, the natural frequencies of the FGM plate with fixed boundary condition depending on the temperature rise parameter in the pre-buckling region are obtained. An analysis has been carried out for the influence of the temperature rise, and the material properties on the natural frequencies. Comparison of the results by the first-order shear deformation plate theory with those by classical theory was given. |
会议录 | 15th International Congress on Sound and Vibration 2008, ICSV 2008 |
会议录出版者 | International Institute of Acoustics and Vibrations |
语种 | 英语 |
内容类型 | 会议论文 |
源URL | [http://ir.lut.edu.cn/handle/2XXMBERH/116848] |
专题 | 理学院 |
作者单位 | Department of Engineering Mechanics, Lanzhou University of Technology, Lanzhou, Gansu, 730050, China |
推荐引用方式 GB/T 7714 | Fu, Xiaohua,Li, Shirong. Free vibration of heated circular FGM plate on first-order theory[C]. 见:. Daejeon, Korea, Republic of. July 6, 2008 - July 10, 2008. |
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