Dynamic Analysis of Heavily Damped Structures with Supplemental Energy Dissipation Devices
Dynamic Analysis of Heavily Damped Structures with Supplemental Energy Dissipation Devices
复制标题
DOI：
10.1080/13632469.2019.1698479
复制
发表时间：
2020-02
影响因子：
2.6
通讯作者：
Huating Chen;Ling-yun Peng
中科院分区：
文献类型：
--
作者：
Huating Chen;Ling-yun Peng
摘要 补充有阻尼器的结构可能会由于较高模态下的更多变形而出现超临界阻尼。超临界模态阻尼可以显着减少结构位移，但也会增加绝对加速度，从而增加地震力。在动态分析中，由于效率高，总是采用无阻尼和复模态叠加方法。然而，由于模式向量计算中引入了更多的复杂性，临界和超临界阻尼问题通常被忽略。特别是，临界阻尼会导致非经典阻尼系统的缺陷，使得上述分析方法变得无效。本文提出了一种不受模态阻尼限制的广义复模态叠加方法。首先基于线性代数理论构造了欠临界、临界和超临界阻尼模态的正交条件，并推导了时域广义复模态叠加方法。然后，该方法进一步扩展到频域并与响应谱相关联。数值示例展示了所提出方法的实施和有效性。结果表明，超临界阻尼模态对结构响应有显着影响，特别是对于低层结构。
ABSTRACT A structure supplemented with dampers may be over-critical damped as a result of more deformations in higher modes. Over-critical modal damping can significantly decrease structural displacements but also increase absolute accelerations and consequently the seismic forces. In dynamic analyses, undamped and complex mode superposition approaches are always employed due to their efficiency. However, the critical and over-critical damping issues are normally ignored because of more complexities introduced in the calculation of mode vectors. Particularly, the critical damping can result in the defectiveness of non-classically damped systems such that the analysis methods aforementioned become invalid. In this paper, a generalized complex mode superposition method is developed without the limit of modal damping. Orthogonality conditions among under-critical, critical, and over-critical damped modes are firstly constructed based on the linear algebra theory and the generalized complex mode superposition method is derived in time domain. Then, this approach is further extended to frequency domain and associating with the response spectra. The implementation and effectiveness of the proposed methods are presented in numerical examples. The results show that the over-critical damped modes have a remarkable effect on the structural response, particularly for the low stories.