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杨冬升,吴福飞. 三维单域弹性问题虚边界无网格伽辽金法分析[J]. 科学技术与工程, 2019, 19(36): 265-269.
YANG Dongsheng,WU Fufei.Analysis of Three-dimensional Single-domain Elastic Problem Based on Virtual Boundary Meshless Galerkin Method[J].Science Technology and Engineering,2019,19(36):265-269.
三维单域弹性问题虚边界无网格伽辽金法分析
Analysis of Three-dimensional Single-domain Elastic Problem Based on Virtual Boundary Meshless Galerkin Method
投稿时间:2019-04-15  修订日期:2019-05-24
DOI:
中文关键词:  
英文关键词:boundary element  meshless  Galerkin  three-dimensional  stress analysis
基金项目:国家自然科学基金项目(项目号:11762005)
     
作者单位
杨冬升 贵州师范大学 材料与建筑工程学院
吴福飞 贵州师范大学 材料与建筑工程学院
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中文摘要:
      针对更具一般性的三维问题,虚边界无网格伽辽金法被进一步推广研究,提出了三维单域弹性问题虚边界无网格伽辽金法。具体研究内容包括:ANSYS有限元软件提取面单元、节点数据信息,给出的命令流具有动态数组的优点,输出的节点坐标达到28位;详细推导了三维单域弹性问题虚边界无网格伽辽金积分方程,并为了便于编程实现,进行数值离散,得到积分方程对应的离散格式。最后计算三维混凝土立方体受压试块应力分析,取中间四个截面上的应力进行验证。结论:三维单域弹性问题虚边界无网格伽辽金法计算可行、精确性好;给出的ANSYS命令流,能够提前准备编程数据,通用性强,大大简化任意面的单元划分与节点坐标信息提取工作,利于建议方法的推广应用。
英文摘要:
      The virtual boundary meshless Galerkin method for the analysis of three-dimensional single-domain elastic problem is presented and further researched for more general three-dimensional problems. Specific research contents include: data information of surface elements and nodes is obtained by the command flow of ANSYS finite element software, which has the advantage of dynamic array and the output node coordinates reach 28 bits; the virtual boundary meshless Galerkin method for three-dimensional single-domain elastic problem is given in detail and dispersed to conveniently program. Finally, the stress analysis of three-dimensional concrete cubic compression test block is calculated. The stresses on the middle four sections are taken to verify. The conclusiones: the virtual boundary meshless Galerkin method for three-dimensional single-domain elastic problems is feasible and accurate; the given command flow can prepare the programming data in advance, has strong generality, greatly simplifies the work of element division and node coordinate information extraction for any plane, and is beneficial to the popularization and application of the proposed method.
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