Abramowicz Małgorzata, Pełka-Sawenko Agnieszka
Faculty of Civil and Environmental Engineering, West Pomeranian University of Technology in Szczecin, Al. Piastów 17, 70-310 Szczecin, Poland.
Materials (Basel). 2024 Dec 12;17(24):6081. doi: 10.3390/ma17246081.
Dynamic analysis of structures is a key challenge in structural engineering, especially in choosing effective and accurate numerical methods. Steel-concrete composite structures, commonly used in bridges and floors, require calculations of dynamic parameters to ensure safety and comfort. Few studies compare the effectiveness of the finite element method (FEM) and the rigid finite element method (RFEM) in the dynamic analysis of such structures. This study fills this gap by comparing the methods using experimental results. FEM and RFEM models were developed using Abaqus, Python, and Matlab. The main parameters were identified, i.e., the Young's modulus of the concrete slab (E) and the stiffness of the connection (K, K, K, K). Both methods closely matched the experimental results. The RFEM matched natural frequencies with 2-3% deviations, while the FEM showed 3-4% deviations for the torsional, axial, and first three flexural frequencies. The RFEM reduced the computation time by about 65%, making it suitable for large-scale applications. The FEM provided a finer resolution of local effects due to its higher element density. The results can be applied to the design of bridges, floors, and other structures under dynamic loads. It will also provide the authors with a basis for developing structural health monitoring (SHM).
结构的动力分析是结构工程中的一项关键挑战,尤其是在选择有效且准确的数值方法方面。常用于桥梁和楼板的钢 - 混凝土组合结构需要计算动力参数以确保安全性和舒适性。很少有研究比较有限元法(FEM)和刚性有限元法(RFEM)在此类结构动力分析中的有效性。本研究通过使用实验结果比较这两种方法填补了这一空白。使用Abaqus、Python和Matlab开发了有限元法和刚性有限元法模型。确定了主要参数,即混凝土板的杨氏模量(E)和连接刚度(K、K、K、K)。两种方法都与实验结果紧密匹配。刚性有限元法匹配的固有频率偏差为2 - 3%,而有限元法对扭转、轴向和前三个弯曲频率的偏差为3 - 4%。刚性有限元法将计算时间减少了约65%,使其适用于大规模应用。由于有限元法具有更高的单元密度,它能提供更精细的局部效应分辨率。研究结果可应用于桥梁、楼板及其他承受动态荷载结构的设计。这也将为作者开展结构健康监测(SHM)提供依据。