| 郭嘉辉， 赵春花*， 独亚平， 周川， 张立强.基于绝对节点坐标法的超弹性材料二维梁单元动力学研究[J].轻工机械,2021,39(6):30-36 |
| 基于绝对节点坐标法的超弹性材料二维梁单元动力学研究 |
| Dynamic Study of Two Dimensional Beam Element in Hyperelastic Materials Based on Absolute Nodal Coordinate Formulation |
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| DOI：10.3969/j.issn.1005 2895.2021.06.005 |
| 中文关键词: 超弹性本构 横向高阶梁单元 绝对节点坐标法 材料非线性 |
| 英文关键词:hyperelastic constitutive transverse high order beam element ANCF（absolute nodal coordinate formulation） material nonlinearity |
| 基金项目:国家自然科学基金（51775328）。 |
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| 摘要点击次数: 606 |
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| 中文摘要: |
| 为了探究考虑超弹性材料非线性的大变形柔性多体系统在工程实践中的应用，课题组基于绝对节点坐标法ANCF研究了针对大变形橡胶梁的高阶梁单元和超弹性材料本构模型。借助二维高阶ANCF梁单元位移模式构建了3种不可压缩超弹性橡胶梁的弹性力模型和运动微分方程：Neo Hookean，Mooney Rivlin和Yeoh；通过静态和动态大变形实例，和横向低阶ANCF梁单元以及ABAQUS软件仿真结果对比，结果显示：大变形橡胶梁动力学分析适合采用不可压缩超弹性本构模型Yeoh和高阶ANCF梁单元，且单元多项式位移模式、节点广义坐标类型和单元自由度数对大变形橡胶梁的计算效率影响较大。 |
| 英文摘要: |
| In order to explore the application of the flexible multi body systems with large deformation containing the nonlinearity of hyperelastic materials in engineering practice,the high order beam elements and hyperelastic material constitutive models were studied for large deformation rubber beamsbased on the absolute nodal coordinate formulation（ANCF）. The elastic force models of Neo Hookean,Mooney Rivlin and Yeoh, and their motion differential equations of three incompressible hyperelastic rubber beams were established by using the displacement mode of two dimensional high order ANCF beam element. Through the static and dynamic large deformation examples, the simulation results were compared with transverse low order ANCF beam element and ABAQUS software.The results show that the incompressible hyperelastic constitutive model Yeoh and high order ANCF beam elements are suitable for the dynamic analysis of large deformation rubber beams, and the polynomial displacement mode of element, the types of generalized coordinates of element nodes and the degrees of freedom of element have a great influence on the calculation efficiency of large deformation rubber beams. |
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