Abstract
This paper presents the large deflection analysis of 3D steel frame using the Finite Particle Method (FPM). The FPM based on the vector mechanics discretizes the analyzed domain with finite particles whose motions are described by Newton’s second law. Instead of imposing a global equilibrium of the entire continuous system, FPM enforces equilibrium on each particle. One of the features of this approach is that no iterations to follow nonlinear laws are necessary, and no global matrices are formed or solved in this method. This paper provides the fundamentals of the FPM, including the structural discretization and particle motion equation. Then internal force formulations of 3D beam element are derived using the fictitious motion method. Two typical numerical examples are given to show the capability of the FPM in the large deflection analysis of 3D steel frame.
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