实体有限元SCAD模型:钢筋混凝土华夫板的计算

M. Mozgolov, E. Kozlova
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摘要

介绍。目前结构工程的要求要求设计者使用能够抵抗连续倒塌的结构。这种结构包括多肋钢筋混凝土华夫板。空间系统具有多重不确定性,其计算是在基于有限元法的软件系统中进行的。肋结构的模型可以由不同类型的有限元建立。由不同的模型确定的力可以有很大的差异,这是由文献中可用的例子证实的。为钢筋混凝土带肋楼盖的计算机辅助计算提供一种简单、准确的有限元模型。材料和方法。采用有限元法对平面为12.0 × 18.0 m、沉箱为1.5 × 2.25 m的华夫板梁的弯矩进行了解析计算和SCAD软件计算的对比研究。计算了由t型梁梁结构组成的杆式模型和实体体有限元模型。用解析法和实体模型计算的弯矩值相似。计算机计算结果与分析方法的最大偏差为-3.2 ~ + 2.6%。实体模型与棒材模型所得弯矩值的最大偏差为- 9.2% ~ + 4.0%。基于求解弹性理论的体积问题的有限元模型是研究复杂系统的有效验证模型;但是,对数据进行分析既费时又困难。可以推荐使用实体模型来研究单个结构或其关键区域。
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SCAD model of solid finite elements: calculation of reinforced concrete waffle slabs
Introduction. Current requirements for structural engineering oblige designers to use structures capable of resisting progressive collapse. Such structures include multiribbed reinforced concrete waffle slabs. Spatial systems are multiple indeterminate, their calculation is carried out in software systems based on the finite element method. Models of ribbed structures can be developed from different types of finite elements. The forces determined by different models can vary significantly, which is confirmed by the examples available in the literature.Aim. To detect a simple and accurate finite element model for computer-aided calculating the ribbed reinforced concrete waffle slab.Materials and methods. The study was carried out by comparing the bending moments obtained analytically and in the SCAD software by the finite element method for beams in waffle slabs of 12.0 × 18.0 m in plan with caissons of 1.5 × 2.25 m. The bar model consisting of a T-beam-and-girder construction and a solid model of bulk finite elements are calculated.Results. The bending moments, calculated both analytically and using a solid model, have similar values. The maximum deviations of the computer calculation from the analytical method are from -3.2 to +2.6 %. The maximum deviations of the values of bending moments obtained when comparing the solid model with the bar model are from -9.2 to +4.0 %.Conclusion. The finite element model, which is based on solving the volumetric problem of the elastic theory, is an effective verification model for studying complex systems; however, it is time-consuming and difficult for data analysis. A solid model can be recommended for studying individual structures or their critical zones.
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