Large Deflection Finite Element Analysis of Pre- and Postcritical Response of Thin Elastic Frames

摘要: A finite element variational approach and a computational algorithm are presented for predicting the nonlinear static, pre- postcritical response of elastic framed structures. An updated Lagrangian formulation is used structure discretized by using curved, mixed-hybrid beam elements. Throughout development correction terms maintained in incremental energy functional to reduce drifting approximate solution from true solution. These correspond checks on stress resultants equilibrium compatibility reference state. To tracing unstable load deflection path snap-through bifurcation problems generalized incrementation procedure has been developed implemented. The high accuracy effectiveness proposed demonstrated means well-selected numerical examples.