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基于时间有限元方法的旋转柔性叶片动力学响应分析

王新栋 邓子辰 王艳 冯国春

王新栋, 邓子辰, 王艳, 冯国春. 基于时间有限元方法的旋转柔性叶片动力学响应分析[J]. 应用数学和力学, 2014, 35(4): 353-363. doi: 10.3879/j.issn.1000-0887.2014.04.002
引用本文: 王新栋, 邓子辰, 王艳, 冯国春. 基于时间有限元方法的旋转柔性叶片动力学响应分析[J]. 应用数学和力学, 2014, 35(4): 353-363. doi: 10.3879/j.issn.1000-0887.2014.04.002
WANG Xin-dong, DENG Zi-chen, WANG Yan, FENG Guo-chun. Dynamic Behavior Analysis of Rotational Flexible Blades Based on Time-Domain Finite Element Method[J]. Applied Mathematics and Mechanics, 2014, 35(4): 353-363. doi: 10.3879/j.issn.1000-0887.2014.04.002
Citation: WANG Xin-dong, DENG Zi-chen, WANG Yan, FENG Guo-chun. Dynamic Behavior Analysis of Rotational Flexible Blades Based on Time-Domain Finite Element Method[J]. Applied Mathematics and Mechanics, 2014, 35(4): 353-363. doi: 10.3879/j.issn.1000-0887.2014.04.002

基于时间有限元方法的旋转柔性叶片动力学响应分析

doi: 10.3879/j.issn.1000-0887.2014.04.002
基金项目: 国家自然科学基金(11172239;11372252);高校博士点基金(20126102110023)
详细信息
    作者简介:

    王新栋(1989—),男,山东人,硕士研究生(E-mail: dynwang@outlook.com)

  • 中图分类号: O241;V476.5

Dynamic Behavior Analysis of Rotational Flexible Blades Based on Time-Domain Finite Element Method

Funds: The National Natural Science Foundation of China(11172239; 11372252)
  • 摘要: 将时间有限元方法引入到柔性多体系统的数值计算中,研究了旋转柔性叶片系统的刚-柔耦合响应问题.首先,基于非线性梁理论,建立了旋转柔性叶片系统的中心刚体柔性梁模型,构造柔性叶片系统考虑一次近似耦合的Lagrange函数;其次,采用假设模态方法对空间坐标进行离散,建立系统的时间有限元格式;最后,通过数值实验,分析了柔性叶片的动力学响应.该方法直接构造了系统的离散积分格式,并自动保证了该格式是保辛的,因而具有较高的数值精度和稳定性.数值结果表明:时间有限元可以有效地求解旋转柔性叶片系统内低频大范围运动与高频弹性振动之间的刚-柔耦合问题.
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出版历程
  • 收稿日期:  2013-12-11
  • 修回日期:  2014-02-20
  • 刊出日期:  2014-04-15

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