| FGM梁稳定性分析的DQ法 |
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| 引用本文： | 马连生,徐刚年.FGM梁稳定性分析的DQ法[J].兰州理工大学学报,2011,37(2):164-167. |
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| 作者姓名： | 马连生 徐刚年 |
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| 作者单位： | 兰州理工大学,理学院,甘肃,兰州,730050 |
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| 摘 要： | 用DQ方法研究热荷载作用下功能梯度梁的稳定性问题.基于三阶剪切变形理论,采用能量原理推导梁屈曲问题的基本方程,采用DQ方法对所得基本方程和边界条件进行离散处理.数值求解固支边界条件下功能梯度梁的临界屈曲热载荷,并得到临界屈曲热载荷随梯度参数的变化曲线.三阶理论的方程很容易退化为一阶理论和经典理论下相应的方程.结果表明:...
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| 关 键 词： | FGM梁 DQM 高阶理论 屈曲 临界热载荷 |
DQ method for stability analysis of FGM beams |
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| MA Lian-sheng,XU Gang-nian.DQ method for stability analysis of FGM beams[J].Journal of Lanzhou University of Technology,2011,37(2):164-167. |
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| Authors: | MA Lian-sheng XU Gang-nian |
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| Institution: | MA Lian-sheng,XU Gang-nian(School of Science,Lanzhou Univ.of Tech.,Lanzhou 730050,China) |
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| Abstract: | Stability of FGM beams subjected to thermal load was studied by using DQ method.The governing equations were derived based on the third-order shear deformation theory and energy principle.The governing equations and boundary conditions were made discrete and then solved numerically by using DQ method.Critical buckling loads of FGM beams with clamped boundary conditions were obtained and curves of critical buckling loads vs gradient parameters were analyzed.The governing equations of third-order theory in th... |
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| Keywords: | functionally graded material beam differential quadrature method(DQM) high-order theory buckling critical buckling load |
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