杨浩, 罗帅, 邢国然, 王伟. 杆梁组合结构的有限元分析[J]. 工程力学, 2019, 36(S1): 154-157,169. DOI: 10.6052/j.issn.1000-4750.2018.05.S029
引用本文: 杨浩, 罗帅, 邢国然, 王伟. 杆梁组合结构的有限元分析[J]. 工程力学, 2019, 36(S1): 154-157,169. DOI: 10.6052/j.issn.1000-4750.2018.05.S029
YANG Hao, LUO Shuai, XING Guo-ran, WANG Wei. FINITE ELEMENT ANALYSIS OF BAR AND BEAM COMPOSITE STRUCTURES[J]. Engineering Mechanics, 2019, 36(S1): 154-157,169. DOI: 10.6052/j.issn.1000-4750.2018.05.S029
Citation: YANG Hao, LUO Shuai, XING Guo-ran, WANG Wei. FINITE ELEMENT ANALYSIS OF BAR AND BEAM COMPOSITE STRUCTURES[J]. Engineering Mechanics, 2019, 36(S1): 154-157,169. DOI: 10.6052/j.issn.1000-4750.2018.05.S029

杆梁组合结构的有限元分析

FINITE ELEMENT ANALYSIS OF BAR AND BEAM COMPOSITE STRUCTURES

  • 摘要: 杆梁组合结构能够充分发挥建筑材料的物理性质,是工程中常用的一种结构形式,由于杆和梁单元的自由度不同,给这类组合结构的理论分析带来了困难。该研究针对杆梁组合结构内力分析过程中刚度矩阵的集成问题,基于不同类型结构构件间的连接关系建立了关联表,推导了基于关联表的结构整体刚度矩阵与单元刚度矩阵各元素之间的对应关系,建立了基于关联表的结构整体分析模型。算例分析的结果表明,该文所采用的关联表方法能够有效地处理杆梁组合结构的受力分析问题,此方法对于解决具有不同自由度数的单元的组合结构分析问题提供了简便可靠的思路。

     

    Abstract: Bar and beam composite structures can take full advantage of the physical properties of building materials. It is an ordinary structural form in civil engineering. The different degrees of freedom of bar and beam elements bring in difficulties in theoretic analysis and numerical simulation. This study focuses on the problem of integrating an assembled stiffness matrix for the internal force analysis of bar and beam composite structures. The link table is established based on the connection relationship between different structural members. The correspondence between the global stiffness matrix and local stiffness matrix is deduced with the link table. A whole finite element analysis model based on the proposed link table is then established. The results of the example analyses prove the correctness and the usefulness of the link table method in this paper. The proposed method can effectively deal with force analysis of bar and beam composite structures. This method provides a simple and reliable way to solve the problem of composite structures with elements of different number of degrees of freedom.

     

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