王星, 董石麟. 考虑节点刚度的网壳杆件切线刚度矩阵[J]. 工程力学, 1999, 16(4): 24-32,4.
引用本文: 王星, 董石麟. 考虑节点刚度的网壳杆件切线刚度矩阵[J]. 工程力学, 1999, 16(4): 24-32,4.
WANG Xing, DONG Shi-lin. TANGENGT STIFFNESS MATRIX OF MEMBERS OF LATTICED SHELL CONSIDERING JOINT'S STIFFNESS[J]. Engineering Mechanics, 1999, 16(4): 24-32,4.
Citation: WANG Xing, DONG Shi-lin. TANGENGT STIFFNESS MATRIX OF MEMBERS OF LATTICED SHELL CONSIDERING JOINT'S STIFFNESS[J]. Engineering Mechanics, 1999, 16(4): 24-32,4.

考虑节点刚度的网壳杆件切线刚度矩阵

TANGENGT STIFFNESS MATRIX OF MEMBERS OF LATTICED SHELL CONSIDERING JOINT'S STIFFNESS

  • 摘要: 本文采用 Timoshenko 梁柱理论,推导出网壳杆件的切线刚度矩阵。该矩阵不仅考虑了两个主轴方向弯曲的耦合作用。而且考虑了节点刚度以及节点体大小的影响,对于位移的高阶项没有任何省略,其精度比C. Oran的切线刚度矩阵有很大程度的提高。通过对一单层网壳结构的算例分析,证明了该分析模型的正确性。

     

    Abstract: In this paper, a tangent stiffness matrix of members of latticed shell was derived on the basis of using Timoshenko's beam-column theory. In this matrix, not only coupling effects of bending in two axes but also joint stickness and joint size were considered. Higher order terms in the displacement function were considered, so this matrix was more precise than Oran's tangent stiffness matrix. An exaxnple of a single layer reticulated shell was provided, which verified the correctness of the present model.

     

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