Abstract
The Base Force Element Method (BFEM) is a simple and effective method for calculating large elastic deformation problems. In this paper, BFEM is further developed to make it useful for structural stability analysis. The generalized unbalanced displacement vector and composite tangent compliance matrix of the four-mid-node element and rod element of BFEM are proposed. BFEM can be combined with the Arc-Length Method (ALM) to analyze the stability of frame and truss structures. Through the calculation of several typical cases, the solution of this paper agrees well with the theoretical solution and the reference solution given by other methods. It is proved that the four-mid-node element and rod element of BFEM have high calculation accuracy in case of structural instability or post-buckling. In the calculation of the Lee frame, the calculation results of the four-mid-node element of BFEM are closer to the reference solutions than those of the CPS4 and CPS4R elements of general finite element software.
Published Version
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