Numerical investigation of the seismic response of a polar crane based on linear complementarity formulation
Numerical investigation of the seismic response of a polar crane based on linear complementarity formulation
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基于线性互补公式的极地起重机地震响应数值研究
DOI：
10.1016/j.engstruct.2020.110462
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发表时间：
2020-05
影响因子：
5.5
通讯作者：
Qu Fuzheng
中科院分区：
文献类型：
--
作者：
Zhang Xingang;Qi Zhaohui;Wang Gang;Guo Shudong;Qu Fuzheng
本文对某核电站运行的回转式起重机进行了考虑脱轨的地震响应数值分析。在这种情况下，车轮和钢轨不再被视为粘结，因此结构动力学中的传统方法（如反应谱法）不再适用于瞬态接触分析。另一方面，柔性多体系统的接触-碰撞分析由于建模复杂、计算效率低而面临很大困难。为了克服这些问题，轮轨相互作用被建模为多个摩擦单边约束，由此产生的接触碰撞问题被配制成一个线性互补问题（LCP）。之后，一种新的平滑方法被施加到平滑的LCP配方，通过替换正常间隙的时间平均正常间隙在一个短的时间内。然后将模型平滑法与模态综合相结合，导出了不含高频分量的运动方程。最后通过数值算例验证了该方法的有效性和可行性。结果表明，在地震过程中，接触面呈现不同的接触状态，包括光滑接触、滑脱接触和再接触。
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.
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影响因子：
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作者：
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影响因子：
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作者：
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