Large deflection analysis of frames by elements containing higher-order terms

Nguyen Dinh Kien, Do Quoc Quang
Author affiliations


  • Nguyen Dinh Kien Institute of Mechanics, NCST of Vietnam
  • Do Quoc Quang Research Institute of Technology for Machinery, Ministry of Industry



In this paper, the beam elements using higher-order terms for large deflection analysis of elastic frames are discussed. The elements based on the co-rotational method are derived using the strain energy and effective strains. The arc-length method is employed as numerical algorithm to compute the equilibrium paths. A number of numerical examples are studied to verify and compare the developed formulations. The obtained results show that while the inclusion of second-order local rotation contributes to some improvement in the accuracy, the higher-order axial strain hardly improves the numerical results. With the employment of the higher-order term elements, the accuracy in numerical analysis may be attained at coarser meshes.


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How to Cite

N. D. Kien and D. Q. Quang, Large deflection analysis of frames by elements containing higher-order terms, Vietnam J. Mech. 25 (2003) 243–254. DOI:



Research Article

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