车桥耦合振动迭代求解稳定性研究

杜宪亭 夏禾 张田

振动与冲击 ›› 2012, Vol. 31 ›› Issue (22) : 62-65.

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (22) : 62-65.
论文

车桥耦合振动迭代求解稳定性研究

  • 杜宪亭 夏禾 张田
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STUDY ON NUMERICAL STABILITY OF ITERATIVE SCHEME IN SOLVING COUPLED VIBRATION OF TRAIN-BRIDGE SYSTEM

  • Du Xian-ting, Xia He, Zhang Tian
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摘要

将桥梁、车辆分别简化为竖向振动的弹簧振子、簧上质量系,应用谱半径理论研究不同轮轨关系、不同迭代格式下车桥动力相互作用的数值求解稳定性问题,针对可能引起迭代计算发散的原因,提出了改进措施。研究表明:1)采用轮轨分离模型时,只要时间积分步足够小,迭代过程就能够收敛;2)轮轨密贴分析模型中,当轮对质量大于所通过桥梁节点质量时采用直接迭代格式可能造成数值计算的发散;3)轮轨密贴模型迭代求解过程中应用本文提出的虚拟质量法既可避免迭代数值发散又可保留直接迭代的优点。

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.

关键词

车桥系统 / 轮轨关系 / 迭代格式 / 数值稳定性 / 谱半径

Key words

train-bridge system / wheel-rail relation / iterative scheme / numerical stability / spectral radius

引用本文

导出引用
杜宪亭 夏禾 张田. 车桥耦合振动迭代求解稳定性研究[J]. 振动与冲击, 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[J]. Journal of Vibration and Shock, 2012, 31(22): 62-65

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