YU Qicai, LIU Airong, XIAO Caitao, et al. A New Calculation Method of Lateral Buckling Critical Load of Parallel Dual-Arch-Ribs Based on the Cusp Catastrophe Theory[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2014,53(2):6-11.
YU Qicai, LIU Airong, XIAO Caitao, et al. A New Calculation Method of Lateral Buckling Critical Load of Parallel Dual-Arch-Ribs Based on the Cusp Catastrophe Theory[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2014,53(2):6-11.DOI:
the lateral buckling of parallel dual-arch-ribs was studied. The displacement function
as well as the energy representation were constructed when there was a lateral buckling in the dual arch-ribs. By mathematical transform,the energy cusp catastrophe model was established
then the system's equilibrium surface M equation and bifurcation point set B equation were obtained. Through the analysis of buckling conditions of dual-arch-ribs system
bifurcation point was calculated
and the formula of lateral buckling critical load was derived,furthermore
a new calculation method of lateral buckling critical load of parallel dual-arch-ribs was proposed. At last
comparing theoretical results based on the cusp catastrophe theory with those obtained from FEM
it is verified that the calculation method presented is sufficiently accurate. The study has opened up a new way for the lateral buckling of the arch structures.