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An energy-based approach for nonlinear static analysis of structures

机译：基于能量的结构非线性静力分析方法

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摘要

Current codes and guidelines provide different methods to perform nonlinear static analysis of structures that require some non-intuitive assumptions in their application. In the present paper an energy-based method for nonlinear static analysis that allows to overcome these assumptions is proposed. In the method the capacity and the demand are both expressed in terms of energy. An energy capacity curve is computed considering that at each step the work of the lateral forces is equal to the structure internal work. The demand is represented in terms of an energy quantity, defined pseudo-energy, that is computed from both the maximum response displacement and the maximum response force. Constant ductility pseudo-energy spectra are introduced as energy demand design spectra, alternative to the input energy demand spectra. The definition of the performance point does not require iterative procedures for equating the internal dissipated energy to the demand energy. For the direct evaluation of the performance point two different operative procedures are proposed. The proposed method is evaluated comparing the earthquake-induced deformations of single degree-of-freedom systems resulting from the application of the presented nonlinear static analysis procedures with those obtained from the time-history analysis and from the application of the EC8 nonlinear static analysis procedure. The method is also applied in the case of a RC plane frame representing the inner frame of a six story building. The results obtained with the proposed method are in good agreement with those computed using nonlinear dynamic analyses, moreover they are characterized by a better accuracy with respect to the results obtained with the method provided by EC8.
机译：当前的规范和准则提供了对结构执行非线性静态分析的不同方法，这些方法在应用中需要一些非直觉的假设。在本文中，提出了一种基于能量的非线性静态分析方法，可以克服这些假设。在该方法中，容量和需求均以能量表示。考虑到在每个步骤中横向力的功等于结构内部功，计算出能量曲线。需求以能量定义的伪能量表示，该能量由最大响应位移和最大响应力两者计算得出。恒定延展性伪能量谱作为能量需求设计谱被引入，替代了输入能量需求谱。性能点的定义不需要将内部耗散能量与需求能量相等的迭代过程。为了直接评估性能点，提出了两种不同的操作程序。通过比较所提出的非线性静力分析程序和时程分析以及EC8非线性静力分析程序得到的单自由度系统的地震诱发变形，对所提出的方法进行了评估。 。该方法还适用于代表六层建筑物内部框架的RC平面框架。所提出的方法所获得的结果与使用非线性动力学分析所获得的结果非常吻合，而且相对于EC8提供的方法所获得的结果，它们具有更高的准确性。

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