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王 飞, 宋志强, 刘昱杰, 王 建.基于ABAQUS无限元的静-动力统一人工边界研究水资源与水工程学报[J].,2018,29(6):170-177
基于ABAQUS无限元的静-动力统一人工边界研究
Research on static-dynamic unified artificial boundary based on ABAQUS infinite element
  
DOI:10.11705/j.issn.1672-643X.2018.06.26
中文关键词:  水工结构  ABAQUS无限元  静-动力综合效应  静-动力统一边界  外源波动输入
英文关键词:hydro-structure  ABAQUS infinite element  static-dynamic comprehensive effect  static-dynamic unified boundary  external wave input
基金项目:国家自然科学基金项目(51479165)
作者单位
王 飞, 宋志强, 刘昱杰, 王 建 (西安理工大学 水利水电学院 陕西 西安 710048) 
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中文摘要:
      对于强震作用下的大变形和非线性问题,叠加原理不能被用来计算结构的静-动力综合效应,这就涉及到静、动力边界转换或静-动力边界统一的问题。静-动力边界转换法较为繁琐,且如果不施加由静力边界条件引起的节点约束反力,模型存在不平衡力或不平衡力矩,造成计算结果失真。黏弹性静-动力统一人工边界在结构受切向静力作用时数值解精度不够理想。为了既方便又精确地计算结构的静-动力综合效应,提出了利用无限元建立静-动力统一人工边界,推导出适用于外源波动输入的等效节点力计算公式;基于Python语言,编写了等效节点力计算与施加为一体的程序。这种边界不需要进行静力、动力边界转换、应力场的导入以及边界节点约束反力的施加。无限元静-动力统一人工边界实现相对简单,且数值解精度高于静、动力人工边界转换法和黏弹性静-动力统一人工边界,特别是在切向静力的作用下。
英文摘要:
      The method obtaining the static-dynamic comprehensive effect by the superposition of the static and dynamic effect is not applicable for large deformation and nonlinear elastic problems under strong earthquake action. This involves the static-dynamic boundary transformation problem or static-dynamic boundary unified problem. The static-dynamic boundary conversion method is tedious. In addition, the model is not balanced at zero moment and the calculation result is distorted if the node restraint reaction force caused by static boundary condition is not applied. The static numerical solution error is large when the structure possesses tangential static force in a viscoelastic static-dynamic unified boundary. The research poposed static-dynamic unified artificial boundary based on ABAQUS infinite element to solve the static-dynamic synthesis effect conveniently and accurately. The equivalent nodal force calculation formula of infinite element unified boundary was deduced when the external wave input. The calculation and application program of the equivalent nodal forces was developed, which used the Python language to complete the external wave inputting. This boundary does not need static and dynamic boundary transformation, import of stress field and constraint counterforce of boundary nodes. The realization of infinite element static-dynamic unified artificial boundary is relatively simple. Compared with static and dynamic artificial boundary transformation method and viscoelastic static-dynamic unified boundary, the precision of the infinite element unified boundary is higher, especially when the static load is in tangential direction.
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