Tangent Stiffness Matrix of Single-Layer Reticulated Shell’s Members with Rigid Ends

Abstract:

In the paper, the axial stiffness and bending stiffness of single-layer reticulated shell’s joint are considering together, non-linear beam-column element with rigid springs and rigid ends is taken as the analysis model of members of single-layer reticulated shell, a tangent stiffness matrix of members of single-layer reticulated shell considering joint’s stiffness is derived on the basis of the beam-column theory. In this matrix, not only coupling effects of bending in two axes but also joint’s stiffness and joint’s size are considered, not only the effect of axial force on bending but also the effect of axial force on torsion are considered. All higher order terms in the displacement function are considered. So this matrix is perfect and more precise than the tangent stiffness matrix from C.Oran, and this model can be suited to the non-linear stablity analysis of single-layer reticulated shell.

• Periodical: Advanced Materials Research (Volumes 479-481)
• Pages: 1997-2000
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.479-481.1997
• Online since: February 2012
• Authors: Fan Wang, Xing Wang
• Keywords: End Springs, Non-Linear Beam-Column Element, Rigid Ends, Tangent Stiffness Matrix

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