不同阻尼模型对地铁振动下结构动力响应分析的影响研究

INFLUENCE OF DAMPING MODELS ON STRUCTURAL DYNAMIC RESPONSE ANALYSES UNDER SUBWAY-INDUCED VIBRATIONS

  • 摘要: 在结构的弹性动力响应分析中,阻尼具有重要的影响,直接决定了结构的耗能与衰减行为。准确地理解不同的阻尼模型的适用条件对实际工程问题的分析具有重要意义。地铁振动激励下的结构动力响应分析具有以下特点:地铁振动激励强度小,结构通常保持弹性,结构的动力响应行为直接受阻尼影响,合理的阻尼耗能对于分析结果的可靠性至关重要;地铁振动的频域范围宽,容易激发结构的多组高阶竖向振型,分析中需要合理考虑各阶振型的阻尼行为。各类阻尼模型由于建立在不同的基本假设之上,适用范围各有不同。粘性阻尼模型和滞变阻尼模型是结构动力分析中常见的两类阻尼模型,为明确不同阻尼模型在地铁振动激励下的结构动力响应分析问题中的特点,从两类模型中各选取了一个典型代表(分别为Rayleigh阻尼和通用频变阻尼),并针对四类常见的典型结构(混凝土框架结构、钢框架结构、混凝土剪力墙结构、钢框架-支撑框筒结构)进行了分析。研究结果表明:采用Rayleigh阻尼时,需根据结构动力特性与荷载频率分布合理定义参考频率区间,相对于覆盖荷载主要频率的参考区间,仅覆盖结构自身前10阶竖向振型的参考频率区间过窄,在该文的频率区间下,后者的顶层竖向峰值加速度比前者小49%~92%;通用频变阻尼只需直接定义预期的阻尼-频率关系,与宽参考频率区间的Rayleigh阻尼模型相比,顶层竖向峰值加速度在其75%~156%,对不同的结构、同一结构的不同位置均不同。

     

    Abstract: In the elastic dynamic response analysis of a structure, damping has an important influence and directly determines the energy dissipation and decay behavior of the structure. An accurate understanding of the applicable conditions of different damping models is of great significance for the analysis of practical engineering problems. The main characteristics of dynamic structural response analyses under subway-induced vibration excitations are: The subway vibration excitation intensity is small, and the structure usually remains elastic. Thus, the dynamic response of the structure is directly affected by the damping, and a reasonable damping energy dissipation is essential for the reliability of the analysis results; the frequency domain of subway-induced vibration is wide, and it is easy to excite the high-order vertical vibration pattern of the structure. Hence, the damping behavior of each order needs to be reasonably considered in the analysis. Different damping models are based on different basic assumptions and have different applicable conditions. Viscous damping and hysteretic damping are two types of commonly adopted damping models. In order to clarify the characteristics of different damping models in the structural dynamic response analysis under subway-induced vibration excitations, one typical representative for each type of damping models (Rayleigh damping and universal rate-dependent damping, respectively) is selected, and four common types of typical structures (concrete frame structure, steel frame structure, concrete shear wall structure, and steel frame-braced core tube structure) were analyzed. The results show that: When Rayleigh damping is used, the reference frequency range needs to be reasonably defined according to the structural dynamic characteristics and the external excitation frequency distribution. Compared with the Rayleigh damping model with the reference frequency range covering the main frequency of the external excitations, the model with the reference frequency range covering only the first 10 orders of vertical vibration mode is too narrow. In the cases of this paper, the vertical peak acceleration of the latter is 49% and 92% less than that of the former; the universal rate-dependent damping only requires direct definition of the expected damping-frequency relationship. The peak vertical roof accelerations of cases using the universal rate-dependent damping are 75%-156% of those adopting the Rayleigh damping model with a wide reference frequency range. The influence of damping models may differ for different structures and different locations of the same structure.

     

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