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面内功能梯度三角形板等几何面内振动分析

陈明飞 刘坤鹏 靳国永 张艳涛 叶天贵 刘志刚

陈明飞, 刘坤鹏, 靳国永, 张艳涛, 叶天贵, 刘志刚. 面内功能梯度三角形板等几何面内振动分析[J]. 应用数学和力学, 2020, 41(2): 156-170. doi: 10.21656/1000-0887.400171
引用本文: 陈明飞, 刘坤鹏, 靳国永, 张艳涛, 叶天贵, 刘志刚. 面内功能梯度三角形板等几何面内振动分析[J]. 应用数学和力学, 2020, 41(2): 156-170. doi: 10.21656/1000-0887.400171
CHEN Mingfei, LIU Kunpeng, JIN Guoyong, ZHANG Yantao, YE Tiangui, LIU Zhigang. Isogeometric in-Plane Vibration Analysis of Functionally Graded Triangular Plates[J]. Applied Mathematics and Mechanics, 2020, 41(2): 156-170. doi: 10.21656/1000-0887.400171
Citation: CHEN Mingfei, LIU Kunpeng, JIN Guoyong, ZHANG Yantao, YE Tiangui, LIU Zhigang. Isogeometric in-Plane Vibration Analysis of Functionally Graded Triangular Plates[J]. Applied Mathematics and Mechanics, 2020, 41(2): 156-170. doi: 10.21656/1000-0887.400171

面内功能梯度三角形板等几何面内振动分析

doi: 10.21656/1000-0887.400171
基金项目: 国家自然科学基金(51775125;51822902;51709066);中央高校基本科研基金(HEUCF180305)
详细信息
    作者简介:

    陈明飞(1990—),男,黎族,博士生(E-mail: mingfeichen@hrbeu.edu.cn);叶天贵(1989—),男,副教授(通讯作者. E-mail: yetiangui@gmail.com).

  • 中图分类号: O326

Isogeometric in-Plane Vibration Analysis of Functionally Graded Triangular Plates

Funds: The National Natural Science Foundation of China(51775125;51822902;51709066)
  • 摘要: 基于平面应变理论,利用等几何有限元方法分析了弹性边界条件下面内功能梯度三角形板的面内振动特性。板的材料属性沿厚度方向呈均匀分布,而在面内方向呈任意指数梯度变化。采用非均匀有理B样条(NURBS)基函数对三角形结构进行等几何建模和位移描述,实现了三角形板几何设计和振动分析的无缝衔接。在三角形板边界上引入虚拟弹簧约束并通过调节虚拟弹簧刚度,实现任意边界条件的施加。通过不同的单元细化方案和对比算例,验证了等几何方法的灵活性、准确性和快速收敛性。系统研究了边界条件、材料属性和几何参数对三角形板振动特性的影响。同时给出了弹性边界条件下面内功能梯度三角形板的振动特性解,具有重要参考价值.
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出版历程
  • 收稿日期:  2019-05-15
  • 修回日期:  2019-12-25
  • 刊出日期:  2020-02-01

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