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等效板方法是针对板壳状结构建立力学代理模型的一种高效分析方法。分别针对典型加筋壁板在完好和含离散源损伤的两种情况下进行等效板建立方法研究。在等效板建模过程中,应用有限元分析方法求解结构静变形和固有特性,利用优化算法发展等效板建立的方法,使用多项式定义设计变量的控制方程。对于完好壁板,等效板与目标板静变形结果一致,主要模态及频率一致;对于含离散源损伤板的情况,通过设定模态权重系数,可使等效板的主要模态和频率与目标模型吻合,从而验证等效板建立方法的正确性和用于分析结构动力学问题的准确性。等效板方法为含离散源损伤的复杂结构的动力学分析提供了一种有效手段。
Equivalent plate method is an efficient analytical method for mechanics agent model of plate-shell structure. For the typical stiffened panel in intact and containing discrete source damage in two cases, the equivalent plate establishment method is studied. In the process of equivalent plate modeling, finite element analysis method is used to solve the static deformation and inherent characteristics of the structure. The optimization algorithm is used to develop the equivalent plate method and the polynomial is used to define the governing equations of the design variables. For intact siding, the results of static deformation of equivalent slab and target plate are the same, and the main modes and frequencies are the same. For the case of slab with discrete source, by setting modal weight coefficient, the main modal and The frequency agrees well with the target model to verify the correctness of the method of building the equivalent plate and to analyze the accuracy of the structural dynamics. Equivalent plate method provides an effective method for the dynamic analysis of complex structures with discrete source damage.