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Numerical investigation of the seismic response of a polar crane based on linear complementarity formulation

机译：基于线性互补制剂的极性起重机地震响应的数值研究

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This paper numerically analyzes the seismic response of a polar crane operating at a nuclear plant, with derailment considered. In this case, the wheels and rails can no longer be treated as being bonded, and thus traditional methods in structural dynamics (e.g. response spectrum method) are no longer suitable for transient contact analysis. On the other hand, contact-impact analysis of flexible multibody systems will often face great difficulties attributed to the complexity of modeling and low computational efficiency. To overcome these problems, the wheel-rail interactions are modeled as multiple frictional unilateral constraints, and the resulting contact-impact problem is formulated as a linear complementarity problem (LCP). Later, a novel smoothing method is applied to smooth the LCP formulation by replacing the normal gap with the time-averaged normal gap over a short time period. A model smoothing method is then combined with modal synthesis to derive the equations of motion without high frequency components. Finally, the validity and feasibility of the proposed method are demonstrated through several numerical examples. The results show the different contact states during the seismic process, including smooth contact, detachment and re-contact.
机译：本文对核电站运行的极地起重机的地震反应进行了数值求分析，考虑了脱轨。在这种情况下，车轮和轨道不能再被视为粘合，因此结构动态（例如响应频谱法）中的传统方法不再适用于瞬态接触分析。另一方面，柔性多体系的接触 - 冲击分析通常会面临困难，归因于建模和低计算效率的复杂性。为了克服这些问题，车轮轨道相互作用被建模为多个摩擦单侧约束，并将所得的接触问题称为线性互补问题（LCP）。后来，应用一种新颖的平滑方法来平滑LCP制剂，通过在短时间内用时间平均的正常间隙替换正常间隙。然后将模型平滑方法与模态合成组合以导出没有高频分量的运动方程。最后，通过几个数字实施例证明了所提出的方法的有效性和可行性。结果显示在地震过程中不同的接触状态，包括平滑接触，分离和重新接触。

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