Dynamic stability of single layer reticulated dome under step load

摘要

The present paper is concerned with dynamic stability of single layer reticulated domes.The updated Lagrangian formulation is employed to develop three dimensional beam elements nonlinear analysis which includes joints large displacements,large rotations and nonlinear material constitutive relation.Dynamic stability of latticed domes under step load are studied through various parametes such as span,rise-span ratio.elastic or elastic-plastic constitutive relation,including damping and without damping.The influence factors of material non-linearity,damping,initial geometry imperfection and initial static load for structure dynamic stability is analyzed.The simplified dynamic critical load calculating method is also suggested.