Analysis Method of Dynamic Stability of Suspended-Dome Structures

Analysis methods of the dynamic stability of suspended-dome structures were discussed.A theoretical investigation was conducted based on the Lypumov dynamic stability theory.The investigation shows that it is difficult to obtain the dynamic instability criterion of a suspended-dome structure under an earthquake with the current methods and the Lypumov theory.Based on the B-R(Budiansky-Roth) criterion,a practical method to judge the dynamic stability was proposed.With this method and time history response curves,the dynamic stability of a suspended-dome structure was judged.Under horizontal,vertical and three-dimensional seismic excitations,the dynamic stability characteristics,stability configuration and cable behavior of suspended-dome structures with different rise-span ratios were analyzed respectively.The results show that under different seismic excitations,the critical dynamic instability configuration is different,and the effects of the rise-span ratio on the dynamic stability are different.The dominant earthquake components of the dynamic instability of the structures with different rise-span ratios are different.When the exciting acceleration approaches the critical point,some cables will relax,but they will be tensioned again during later vibration.