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基于绝对节点坐标法的弹性线方法研究

范纪华 章定国 谌宏

范纪华, 章定国, 谌宏. 基于绝对节点坐标法的弹性线方法研究[J]. 力学学报, 2019, 51(5): 1455-1465. doi: 10.6052/0459-1879-19-076
引用本文: 范纪华, 章定国, 谌宏. 基于绝对节点坐标法的弹性线方法研究[J]. 力学学报, 2019, 51(5): 1455-1465. doi: 10.6052/0459-1879-19-076
Fan Jihua, Zhang Dingguo, Shen Hong. RESEARCH ON ELASTIC LINE METHOD BASED ON ABSOLUTE NODAL COORDINATE METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(5): 1455-1465. doi: 10.6052/0459-1879-19-076
Citation: Fan Jihua, Zhang Dingguo, Shen Hong. RESEARCH ON ELASTIC LINE METHOD BASED ON ABSOLUTE NODAL COORDINATE METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(5): 1455-1465. doi: 10.6052/0459-1879-19-076

基于绝对节点坐标法的弹性线方法研究

doi: 10.6052/0459-1879-19-076
基金项目: 1) 国家自然科学基金项目(11502098);国家自然科学基金项目(11772158);江苏省高校自然科学研究面上项目(15KJB130003);江苏科技大学博士科研启动基金项目资助(120140003)
详细信息
    通讯作者:

    章定国

  • 中图分类号: O313.7

RESEARCH ON ELASTIC LINE METHOD BASED ON ABSOLUTE NODAL COORDINATE METHOD

  • 摘要: 相比于浮动坐标系法, 绝对节点坐标法(absolute nodal coordinateformulation, ANCF)在处理柔性体非线性大变形问题上具有显著优势,ANCF将单元节点坐标定义在全局坐标系下,采用斜率矢量代替节点转角坐标, 具有常数质量阵,不存在科氏离心力等优点, 然而弹性力阵为非线性项,其求解将比较耗时且占用资源. 据此, 在弹性力求解方法中,引入弹性线方法(elastic line method, ELM),该方法将格林--拉格朗日应变张量定义在中心线上,采用曲率公式来定义弯曲应变, 转角公式来定义扭转应变.同时采用有限元法对三维柔性梁位移场进行离散,求解梁单元常数质量阵、广义刚度阵、广义力阵,进而得到单元的动力学方程, 通过转换矩阵得到三维梁的动力学方程.接着从理论上指出连续介质力学方法(continuum mechanics method,CMM)和弹性线方法在求解弹性力上的不同点, 并编制动力学仿真软件.最后分别采用连续介质力学方法和弹性线方法对柔性单摆以及履带式车辆的动力学问题进行仿真分析,结果表明:弹性线方法能在保证精度的前提下有效提高计算效率.

     

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出版历程
  • 收稿日期:  2019-03-28
  • 刊出日期:  2019-09-18

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