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首页> 外文期刊>International journal of mechanics and materials in design >Optimal design of vibrating composite plate considering discrete-continuous parameterization model and resonant peak constraint
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Optimal design of vibrating composite plate considering discrete-continuous parameterization model and resonant peak constraint

机译：振动复合板的考虑离散参数化模型和共振峰约束的最佳设计

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摘要

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.
机译：宽带动态优化中的许多离散设计变量导致频率响应和敏感性分析中的密集计算和存储负担。一种解决方案是采用连续角度设计模型。然而，由于其高凸性特征，更可能获得局部最佳解决方案。因此，本文开发了通过离散连续参数化模型（DCP）最小化给定频带中的复合板本地响应的集成优化模型。采用DCP来优化光纤角度，其中将总角度范围分成几个分区，并结合离散和连续变量。因此，它提供了广泛且灵活的设计空间，用于选择光纤角度，并且有用可用于找到更好优化的结果。另外，具有惩罚方案（SIMP）的固体各向同性材料用于优化阻尼材料的布局。另外，由于低阶谐振峰对结构振动的主导作用，还考虑了低阶谐振峰值约束。模式加速度方法（MAM）和分离的灵敏度分析方法被掺入频率和灵敏度分析。采用几个数值示例来研究开发模型的有效性。

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