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An Energy-Based Assessment on Dynamic Amplification Factor for Linear Static Analysis in Progressive Collapse Design of Ductile RC Frame Structures

机译：延性RC框架结构渐进倒塌设计中基于能量的动力放大因子线性静力分析

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Progressive collapse is a mechanical process that exhibits nonlinear and dynamic characteristics. The nonlinear dynamic effect on the progressive collapse resistance demand can be accurately evaluated by the nonlinear dynamic (ND) method. In engineering practice, however, the simplified and easy-to-use linear static (LS) method is often adopted. That is accomplished by using a dynamic amplification factor (DAF) to correct the LS resistance demand to approximate the true ND resistance demand. In this paper, the analytical expression of the DAF is established based on the energy conservation principle. The collapse-resisting substructure is firstly simplified as a single-degree-of-freedom (SDOF) equivalent. Then the energy conservation equation and the static balance equation of the SDOF equivalent are established to obtain the ND and LS demands. Finally, the DAF is obtained by dividing the ND demand by the LS demand. The DAF is validated through a series of the numerical examples including a SDOF system, a 3-storey planar frame and an 8- storey 3-D RC frame model structures.
机译：渐进式塌陷是一种具有非线性和动态特性的机械过程。可以通过非线性动力学（ND）方法准确评估对逐步抗倒塌需求的非线性动力学影响。但是，在工程实践中，通常采用简化且易于使用的线性静态（LS）方法。这可以通过使用动态放大系数（DAF）来校正LS电阻需求以逼近真正的ND电阻需求来实现。本文基于能量守恒原理建立了DAF的解析表达式。首先将抗倒塌的子结构简化为等效的单自由度（SDOF）。然后建立SDOF当量的能量守恒方程和静平衡方程，得到ND和LS需求。最后，通过将ND需求除以LS需求获得DAF。通过一系列数值示例（包括SDOF系统，3层平面框架和8层3-D RC框架模型结构）验证了DAF。

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