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卫星结构中通常有大量横向加强构件作用下的开口薄壁杆件,横向加强构件一般沿杆件轴向均匀分布,通过对这类结构研究,理论上证明了这种结构的振动微分方程与普通的开口薄壁梁振动微分方程有相同的形式,因此可以用开口薄壁梁单元进行等效计算。本文建立了开口薄壁梁的3种数学模型:有限元模型、传递矩阵模型和解析模型。采用优化理论中序列二次规划对等效截面参数进行辨识,同时分析了不同目标函数对辨识结果的影响,并且提出了一种对截面初始参数进行估计的方法。对于有限元模型,提出采用MATLAB与ABAQUS交互式参数优化方法,充分结合二者优点可以快速高效地对截面参数进行优化辨识,具有较强的通用性。通过实验验证了这种等效建模方法的正确性与精确性。所提出的等效建模方法可以减少90%以上的单元数量。通过建立这种简化模型,可以大幅度提高整星结构模型修正与结构重分析的效率。
In the satellite structure, usually there are a large number of open thin-walled members under the action of transverse reinforcement members. The transverse reinforcement members are generally evenly distributed along the axial direction of the members. By studying these structures, it is theoretically proved that the vibration differential equations of this structure are similar to the ordinary The opening differential equations of thin-walled beams have the same form, so the equivalent calculation of the thin-walled beam elements can be carried out. In this paper, three mathematical models of open thin-walled beam are established: finite element model, transfer matrix model and analytical model. The equivalent quadratic programming is used to identify the equivalent cross-section parameters in the optimization theory. At the same time, the influence of different objective functions on the identification results is analyzed, and a method to estimate the initial parameters of cross-sections is proposed. For the finite element model, the optimization method of interactive parameter between MATLAB and ABAQUS is proposed, and the advantages of these two methods can be used to optimize and identify the cross-section parameters quickly and efficiently, which is of great versatility. The correctness and accuracy of this equivalent modeling method are verified by experiments. The proposed equivalent modeling method can reduce the number of cells by more than 90%. By establishing such a simplified model, the efficiency of the whole-body structural model correction and structural reanalysis can be greatly improved.