EI、Scopus 收录
中文核心期刊
Taicong Chen, Haitao Ma. Exact finite element solutions of buckling analysis of frame structures[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(6): 953-960. DOI: 10.6052/0459-1879-2009-6-2008-100
Citation: Taicong Chen, Haitao Ma. Exact finite element solutions of buckling analysis of frame structures[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(6): 953-960. DOI: 10.6052/0459-1879-2009-6-2008-100

Exact finite element solutions of buckling analysis of frame structures

  • Based on general solution for the homogeneous governingequation for the linear buckling analysis of Euler beam, new shape functionsare constructed and a new finite element is formulated. With the derivedelement stiffness matrix and geometric stiffness matrix, an iterativealgorithm based on conventional eigenvalue calculation procedure is proposedfor linear buckling analysis of frame structures. The conventional finiteelement is proved to be an approximation of the proposed element. By theapplication of the proposed element and algorithm, exact buckling solutionsof frame structures can be obtained even with coarse meshes. Illustrativenumerical examples are presented to show the effectiveness of the newelement and algorithm.
  • loading

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return