Many discrete design variables in broadband dynamic optimization cause intensive computational and storage burdens in both frequency response and sensitivity analysis. One solution is to adopt the continuous angle design model. However, a local optimum solution is more likely to be obtained due to its high non-convex character. Consequently, this paper develops an integrated optimization model for minimizing composite plate’s local response in a given frequency band by the discrete–continuous parameterization model (DCP). The DCP is adopted to optimize fiber angles where it divides the total angle range into several subranges and combines the discrete and continuous variables. Thus, it offers a wide and flexible design space for selecting the fiber angle and is useful to find better-optimized results. In addition, the solid isotropic material with penalty scheme (SIMP) is used to optimize the layout of the damping material. Additionally, due to the dominant role of the low-order resonant peak on the structural vibration, the low-order resonant peak constraint is also considered. The mode acceleration method (MAM) and the decoupled sensitivity analysis method are incorporated for frequency and sensitivity analysis. Several numerical examples are employed to investigate the validity of the developed model.

宽带动态优化中的许多离散设计变量会导致频率响应和灵敏度分析中的大量计算和存储负担。一种解决方案是采用连续角设计模型。然而，由于其高非凸特性，更可能获得局部最优解。因此，本文开发了一种集成优化模型，用于通过离散-连续参数化模型 (DCP) 在给定频带内最小化复合板的局部响应。DCP 用于优化光纤角度，它将总角度范围划分为几个子范围，并结合离散和连续变量。因此，它为选择光纤角度提供了广泛而灵活的设计空间，有助于找到更好的优化结果。此外，带有惩罚方案（SIMP）的固体各向同性材料用于优化阻尼材料的布局。此外，由于低阶共振峰对结构振动的主导作用，还考虑了低阶共振峰约束。模式加速方法（MAM）和解耦灵敏度分析方法被结合用于频率和灵敏度分析。几个数值例子被用来研究开发模型的有效性。模式加速方法（MAM）和解耦灵敏度分析方法被结合用于频率和灵敏度分析。几个数值例子被用来研究开发模型的有效性。模式加速方法（MAM）和解耦灵敏度分析方法被结合用于频率和灵敏度分析。几个数值例子被用来研究开发模型的有效性。