Abstract:The bridge and vehicle subsystems are simplified into spring-damping, sprung mass oscillators in vertical direction, respectively. The numerical stabilities of iterative schemes in solving dynamic interaction of train-bridge system are studied for different wheel-rail relations on the basis of the spectral radius theory. The corresponding improvement approach is proposed in term of possible cause leading to numerical divergence. The results show that the iteration should be convergent if the time interval is small enough for the wheel-rail separation model. In the wheel-rail non-separation model, direct iterative scheme may lead to numerical instability if the mass of bridge node is smaller than that of the passing wheel-set, which has no relation to the time interval. The virtual mass approach is proposed to avoid potential divergence which retains the advantages of direct iterative scheme.
杜宪亭 夏禾 张田. 车桥耦合振动迭代求解稳定性研究[J]. , 2012, 31(22): 62-65.
Du Xian-ting;Xia He;Zhang Tian. STUDY ON NUMERICAL STABILITY OF ITERATIVE SCHEME IN SOLVING COUPLED VIBRATION OF TRAIN-BRIDGE SYSTEM. , 2012, 31(22): 62-65.