Tracing Strategy of Two Kinds of In-plane Elastic Secondary Bifurcation Buckling of Arch and Application

摘要

The two kinds of in-plane elastic secondary bifurcation buckling (stable buckling and unstable buckling) behavior of arches are investigated using new finite-element method for the nonlinear analysis in this paper. The linear buckling, nonlinear primary buckling and secondary bifurcation buckling behavior of arches are compared taking into account the large deformation. The investigation emphasizes the buckling path tracing strategy of two kinds of nonlinear secondary bifurcation buckling behavior for a full span uniformly distributed load. The new criterion is used to distinguish two kinds of secondary bifurcation buckling and an efficient numerical algorithm is used to trace the two kinds of secondary bifurcation buckling path to further investigate arch instability behavior. The paper not only provides the exact secondary bifurcation buckling load of two kinds of buckling and its post-buckling equilibrium path, but also provides a comparison with linear buckling and nonlinear primary buckling behavior. In addition, the method can also be used to investigate the arch's buckling path with an initial antisymmetric imperfection.