基于有限质点法的半刚连接钢框架非线性动力倒塌分析

his paper presents a numerical procedure based on the Finite Particle Method (FPM) for nonlinear dynamic collapse analysis of plane steel frames with semi-rigid connections. The FPM models the plane frame with finite separated particles, which includes the geometrical nonlinearity, material nonlinearity and dynamic fracture. The fictitious motion is used to consider the geometrical nonlinearity. The explicit time integration method is applied to solve the dynamic equilibrium equations. Particles are free to separate from each other with FPM, which is advantageous in the simulation of member fracture. The fracture criterion and fracture model of the FPM are developed to simulate member fracture. An independent zero-length element considering the influence of nonlinear and hysteretic connection stiffness is adopted to simulate the rigidity of steel beam-column connection. The nonlinear response results are compared with those of existing studies to verify the accuracy of the proposed numerical procedure. The collapse analysis of a Vogel six-story frame shows that frames with semi-rigid connections has more anti-collapse capacity than that with rigid ones.