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- W4280622211 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. • The Base Force Element Method is developed to enable it to analyze the stability of frame and truss structures. • The generalized unbalanced displacement vector and composite tangent compliance matrix are proposed to combine with the Arc-Length Method. • The snap-through and snap-back problems of structures are solved. • This new Finite Element Method based on the complementary energy principle has good convergence for calculating the structural instability problem." @default.
- W4280622211 created "2022-05-22" @default.
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- W4280622211 date "2022-09-01" @default.
- W4280622211 modified "2023-09-27" @default.
- W4280622211 title "The base force element method based on the arc-length method for stability analysis" @default.
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- W4280622211 doi "https://doi.org/10.1016/j.ijnonlinmec.2022.104088" @default.
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