Abstract
This paper presents a novel hybrid FEM-based approach for nonlinear buckling analysis of truss with initial length imperfection. The contribution deals with establishing two types of truss finite element (perfection and imperfection element) considering large displacement based on displacement formulation and mixed formulation. Therefore, the hybrid global equation system is developed by assembling perfection and imperfection truss elements. The incremental-iterative algorithm based on the arc-length method is used to establish calculation programs for solving geometrically nonlinear buckling analysis of truss with initial length imperfection. Using a written calculation program, the numerical test is presented to investigate the equilibrium path for plan truss with initial member length imperfection.
Highlights
Many truss members have initial geometric imperfections as a result of manufacturing, transporting, and handling processes
In geometrical linear finite element analysis, the length imperfection usually is calculated by adding equivalent loads to the nodal external force vector
The solution of nonlinear buckling problem of truss based on displacement finite element formulation requires the implementation of length imperfection to the mater stiffness matrix
Summary
Many truss members have initial geometric imperfections as a result of manufacturing, transporting, and handling processes This initial member imperfection significantly influences the buckling behaviour of the truss structure. The solution of nonlinear buckling problem of truss based on displacement finite element formulation requires the implementation of length imperfection to the mater stiffness matrix. The operation of incorporating length imperfection considerably increases the difficulty in constructing and solving nonlinear incremental balanced equations of the system. For escaping difficulties of the mathematical treatment of imperfection, in [5] the author proposed an approach to formulate the nonlinear buckling problem of truss with imperfection based on mixed finite element formulation. The author proposes a novel hybrid finite element approach for constructing the solving system of equation. The numerical results are presented to verify the efficiency of the proposed method
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