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功能梯度材料Timoshenko梁的热过屈曲分析

李世荣 张靖华 赵永刚

李世荣, 张靖华, 赵永刚. 功能梯度材料Timoshenko梁的热过屈曲分析[J]. 应用数学和力学, 2006, 27(6): 709-715.
引用本文: 李世荣, 张靖华, 赵永刚. 功能梯度材料Timoshenko梁的热过屈曲分析[J]. 应用数学和力学, 2006, 27(6): 709-715.
LI Shi-rong, ZHANG Jing-hua, ZHAO Yong-gang. Thermal Post-Buckling of Functionally Graded Material Timoshenko Beams[J]. Applied Mathematics and Mechanics, 2006, 27(6): 709-715.
Citation: LI Shi-rong, ZHANG Jing-hua, ZHAO Yong-gang. Thermal Post-Buckling of Functionally Graded Material Timoshenko Beams[J]. Applied Mathematics and Mechanics, 2006, 27(6): 709-715.

功能梯度材料Timoshenko梁的热过屈曲分析

基金项目: 国家自然科学基金资助项目(10472039)
详细信息
    作者简介:

    李世荣(1957- ),男,甘肃人,教授,博士(联系人.Tel:+86-931-2976083;Fax:+86-931-2976040;E-mail:lisr2000@yaho.com.cn).

  • 中图分类号: O343.7

Thermal Post-Buckling of Functionally Graded Material Timoshenko Beams

  • 摘要: 研究了功能梯度材料Timoshenko梁在横向非均匀升温下的热过屈曲.在精确考虑轴线伸长和一阶横向剪切变形的基础上,建立了功能梯度Timoshenko梁在热-机械载荷作用下的几何非线性控制方程,将问题归结为含有7个基本未知函数的非线性常微分方程边值问题A·D2其中,假设功能梯度梁的材料性质为沿厚度方向按照幂函数连续变化的形式.然后采用打靶法数值求解所得强非线性边值问题,获得了横向非均匀升温场内两端固定Timoshenko梁的静态非线性热屈曲和热过屈曲数值解.绘出了梁的变形随温度载荷及材料梯度参数变化的特性曲线,分析和讨论了温度载荷及材料的梯度性质参数对梁变形的影响.结果表明,由于材料在横向的非均匀性,均匀升温时的梁中存在拉-弯耦合变形.
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出版历程
  • 收稿日期:  2005-02-01
  • 修回日期:  2006-02-14
  • 刊出日期:  2006-06-15

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