爆炸与冲击2017，Vol.37Issue(3)：431-438,8.DOI:10.11883/1001-1455(2017)03-0431-08
Hamilton体系下功能梯度梁的热冲击动力屈曲分析
Dynamic buckling analysis of functionally graded beam under thermal shock in Hamilton system
摘要
Abstract
Based on the Euler beam theory,the dynamic buckling of the functionally graded beam subjected to thermal shock was investigated in the Hamilton system.The material properties of the functionally graded beam were assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents.The transient temperature fields were solved analytically using the Laplace transform and power series method.It was shown that the dynamic buckling problem can be reduced to a zero-eigenvalue problem in the symplectic space,the buckling loading and the buckling mode of the FGM beam correspond to the generalized eigenvalue and eigen solution.The buckling mode and the buckling thermal axial forces can be obtained through bifurcation condition,and the buckling temperature rise of the FGM beam can be obtained by inverse solution.In this research,the solution process for dynamic buckling of the FGM beam subjected to thermal shock using the symplectic method were given,and the effects of the material constitution,geometric parameters and the parameters of thermal shock load on the critical temperature were discussed.关键词
功能梯度材料/Euler梁/热冲击/辛方法/动力屈曲Key words
functionally graded materials/Euler beam/thermal shock/symplectic method/dynamic buckling分类
数理科学引用本文复制引用
张靖华,赵幸幸,李世荣..Hamilton体系下功能梯度梁的热冲击动力屈曲分析[J].爆炸与冲击,2017,37(3):431-438,8.基金项目
国家自然科学基金项目(11262010,11272278) （11262010,11272278）
