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径向基点插值法在旋转柔性梁动力学中的应用

杜超凡 章定国 洪嘉振

杜超凡, 章定国, 洪嘉振. 径向基点插值法在旋转柔性梁动力学中的应用[J]. 力学学报, 2015, 47(2): 279-288. doi: 10.6052/0459-1879-14-334
引用本文: 杜超凡, 章定国, 洪嘉振. 径向基点插值法在旋转柔性梁动力学中的应用[J]. 力学学报, 2015, 47(2): 279-288. doi: 10.6052/0459-1879-14-334
Du Chaofan, Zhang Dingguo, Hong Jiazhen. A MESHFREE METHOD BASED ON RADIAL POINT INTERPOLATION METHOD FOR THE DYNAMIC ANALYSIS OF ROTATING FLEXIBLE BEAMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(2): 279-288. doi: 10.6052/0459-1879-14-334
Citation: Du Chaofan, Zhang Dingguo, Hong Jiazhen. A MESHFREE METHOD BASED ON RADIAL POINT INTERPOLATION METHOD FOR THE DYNAMIC ANALYSIS OF ROTATING FLEXIBLE BEAMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(2): 279-288. doi: 10.6052/0459-1879-14-334

径向基点插值法在旋转柔性梁动力学中的应用

doi: 10.6052/0459-1879-14-334
基金项目: 国家自然科学基金(11272155,11132007), 江苏省"333" 工程(BRA2011172) 和高校基本科研业务专项资金(30920130112009) 资助项目.
详细信息
    通讯作者:

    章定国,教授,主要研究方向:多体系统动力学与控制.E-mail:zhangdg419@mail.njust.edu.cn

  • 中图分类号: O313.7

A MESHFREE METHOD BASED ON RADIAL POINT INTERPOLATION METHOD FOR THE DYNAMIC ANALYSIS OF ROTATING FLEXIBLE BEAMS

Funds: The project was supported by the National Natural Science Foundation of China (11272155,11132007), the 333 Project of Jiangsu Province, China (BRA2011172), and the Fundamental Research Funds for the Central Universities of China (30920130112009).
  • 摘要: 将无网格径向基点插值法用于旋转柔性梁的动力学分析. 利用无网格方法对柔性梁的变形场进行离散,考虑梁的纵向拉伸变形和横向弯曲变形,并计入横向弯曲变形引起的纵向缩短,即非线性耦合项,运用第二类拉格朗日方程推导得到系统刚柔耦合动力学方程. 将无网格径向基点插值法的仿真结果有限元法和假设模态法进行比较分析,说明假设模态法的局限性,并表明其作为一种柔性体离散方法在刚柔耦合多体系统动力学的研究中具有可推广性,并讨论了径向基形状参数的影响. 同时运用3 种求解系统动力学方程的方法:纽马克方法、4阶龙格库塔法、亚当姆斯预报校正法,并比较各方法的计算效率, 结果表明纽马克方法最快.

     

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出版历程
  • 收稿日期:  2014-10-24
  • 修回日期:  2014-11-25
  • 刊出日期:  2015-03-18

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