The plastic analysis of moment frames by the combination of elementary mechanisms is one of the classic problems in the field of nonlinear analysis of structures. This method, based on the principles of the upper-bound theorem, has so far been used in much research. The application of optimization algorithms in structural engineering resulted in the use of this method for high-rise structures and determination of the collapse load factor along with the critical failure mode. The most important feature of this method is the simplicity of application without the need for complex analysis or software. Nevertheless, the only disadvantage is its exclusivity for moment frames. In this study, with the help of the existing principles for moment frames, the method is developed for braced frames. To this end, various optimization algorithms have been used to examine the convergence rate and compare them with each other. In this research, the genetic, modified dolphin echolocation, grey wolf, and whale algorithms are used to optimize the proposed method. By comparing the results for three samples, the genetic and modified dolphin echolocation optimization algorithms provided far more accurate results. Although, there is a little error in the grey wolf algorithm and much more in the whale algorithm.

中文翻译：

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应用元启发式优化算法的支撑框架塑性分析

通过基本机理的组合对弯矩框架进行塑性分析是结构非线性分析领域的经典问题之一。迄今为止，这种基于上限定理原理的方法已经在许多研究中得到使用。优化算法在结构工程中的应用导致该方法用于高层结构，并确定了破坏荷载因子以及临界破坏模式。该方法的最重要特征是应用程序简单，无需复杂的分析或软件。然而，唯一的缺点是其在力矩框架中的排他性。在这项研究中，借助力矩框架的现有原理，开发了支撑框架的方法。为此，各种优化算法已用于检查收敛速度并将它们相互比较。在这项研究中，使用遗传，改进的海豚回声定位，灰太狼和鲸鱼算法来优化所提出的方法。通过比较三个样本的结果，遗传和改进的海豚回声定位优化算法提供了更为准确的结果。虽然，在灰太狼算法中有一些错误，在鲸鱼算法中有更多的错误。