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Limit Analysis of Thin-Wall Metal Frames Taking into Account their Foundations Rigidity

机译:考虑基础刚度的薄壁金属框架极限分析

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In this paper, the mathematical model of shakedown optimization problem of limit analysis for the thin-wall metal frames under variable quasi-static loads is presented. Authors assume the elastic-plastic flexural buckling in one plane without lateral torsional buckling behavior of members on conditions of the ideal elastic-plastic behaviour of the frames materials. According to Eurocodes requirements, the features of these frames taking into account rigidity of their foundations are described. There is problem with definition equivalent uniform moment factors for frames under variable quasi-static loads, because moment diagram is not constant. Classification of joints by stiffness was analyzed. The cases when the conditions of rigidity are not satisfied were described. The variants of solving tasks for thin-wall metal frames have been developed, for which there is a discrepancy between the classification by stiffness of the column base and the initial design model. It’s demonstrated on the principle scheme of the iteration process. With the help of numerical example, the problems which deal with classification of joints by stiffness on the final step of the optimal design of the thin-wall metal frames were performed.
机译:提出了薄壁金属框架在可变准静态载荷下极限分析的减振优化问题的数学模型。作者假设在一个理想的框架材料弹塑性行为条件下,构件在一个平面内没有出现横向扭转屈曲行为的弹塑性弯曲屈曲。根据欧洲规范的要求,描述了考虑其基础刚性的这些框架的功能。由于力矩图不是恒定的,因此在准静态负载可变的情况下,定义框架的等效等效力矩因子存在问题。分析了按硬度分类的关节。描述了不满足刚性条件的情况。已经开发出用于薄壁金属框架的求解任务的变体,为此,在根据柱底刚度进行的分类与初始设计模型之间存在差异。在迭代过程的原理方案上进行了演示。借助于数值例子,在薄壁金属框架的最佳设计的最后步骤中,进行了有关根据刚度对接缝进行分类的问题。

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