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大挠度功能梯度压杆的后屈曲分析
引用本文:杨丽红,杨彪,吴林志.大挠度功能梯度压杆的后屈曲分析[J].低温建筑技术,2009,31(12):47-49.
作者姓名:杨丽红  杨彪  吴林志
作者单位:1. 哈尔滨工业大学复合材料与结构研究所,哈尔滨,150001;哈尔滨工程大学航天与建筑工程学院,哈尔滨,150001
2. 哈尔滨工程大学航天与建筑工程学院,哈尔滨,150001
3. 哈尔滨工业大学复合材料与结构研究所,哈尔滨,150001
摘    要:对一端固定一端自由功能梯度压杆的后屈曲问题进行了分析。依据组份材料的体积含量,假设材料的物性参数沿杆件的厚度按幂函数变化。基于Kirchhoff大变形理论,推导了大挠度功能梯度压杆后屈曲分析的控制微分方程和边界条件。采用微分求积法对所得控制微分方程和边界条件进行数值计算,得到压杆后屈曲时的自由端转角和自由端位移。分析了载荷、梯度指数和截面边长比对杆件后屈曲平衡路径的影响。

关 键 词:功能梯度  压杆  大挠度  微分求积法

ANALYSIS ON POST-BUCKLING OF LARGE DEFLECTION FUNCTIONALLY GRADED BAR
YANG Li-hong,YANG Biao,WU Lin-zhi.ANALYSIS ON POST-BUCKLING OF LARGE DEFLECTION FUNCTIONALLY GRADED BAR[J].Low Temperature Architecture Technology,2009,31(12):47-49.
Authors:YANG Li-hong  YANG Biao  WU Lin-zhi
Affiliation:YANG Li-hong1,2,YANG Biao2,WU Lin-zhi1(1.Composite and Architectural Research Institute,Harbin Institute of Technology,Harbin 150001,China,2.College of Aerospace and Civil Engineering,Harbin Engineering University,China)
Abstract:Post-buckling equilibrium paths of functionally graded material(FGM)rectangular bar with one end fixed and another end free are studied.The material properties of FGM rectangular bar are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents.Based on Kirchhoff large deformation theory,the governing differential equation and boundary conditions under a concentrated force are derived.By using differential quadrature met...
Keywords:functionally graded material  bar  large deflection  differential quadrature method  
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