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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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