Rigid element approach for deriving the geometric stiffness of curved beams for use in buckling analysis

Yang, Y. B., Lin, S. P. and Wang, C. M. (2007) Rigid element approach for deriving the geometric stiffness of curved beams for use in buckling analysis. Journal of Structural Engineering, 133 12: 1762-1771. doi:10.1061/(ASCE)0733-9445(2007)133:12(1762)


Author Yang, Y. B.
Lin, S. P.
Wang, C. M.
Title Rigid element approach for deriving the geometric stiffness of curved beams for use in buckling analysis
Journal name Journal of Structural Engineering   Check publisher's open access policy
ISSN 0733-9445
1943-541X
Publication date 2007-12-01
Sub-type Article (original research)
DOI 10.1061/(ASCE)0733-9445(2007)133:12(1762)
Open Access Status Not yet assessed
Volume 133
Issue 12
Start page 1762
End page 1771
Total pages 10
Place of publication Reston, VA, United States
Publisher American Society of Civil Engineers
Language eng
Formatted abstract
For a rigid element equilibrated by a set of initial forces, the geometric stiffness matrix derived is the same, whether it is straight or curved, as long as it has identical nodal degrees at the two ends. Thus, one can first derive the geometric stiffness matrix for a rigid straight beam that has the same ending points as those of the curved beam using a rigid displacement field, and then transform this matrix from the Cartesian coordinates to the cylindrical coordinates to obtain the one for the rigid curved beam. The geometric stiffness matrix so derived (for treating the rigid displacements) can be used along with the elastic stiffness matrix (for treating the natural deformations) in the buckling analysis of curved beams. The present approach is featured by the fact that no assumptions are made for the kinematic behavior of curved beams, while the procedure of derivation is simple, explicit, and physically meaningful. Good characteristics of convergence are achieved as the finite-element mesh is refined. The robustness of the proposed approach is demonstrated in the solution of some benchmark problems.
Keyword Buckling
Curved beams
Geometry
Stiffness
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
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