Abstract Three-dimensional braided composites have a wide range of application in various industries. This article presents a three-step scheme enabling the multi-scale analysis of the vibration properties for three-dimensional braided composites. Firstly, a micro-scale model and meso‑scale mechanical model were constructed to predict the stiffness properties of the braided composites using both analytical and numerical methods. Secondly, the macro-scale vibration responses of the braided composites were carefully investigated both from analytical and numerical perspectives, followed by validation with experimental data. Thirdly, sensitivity analysis of the vibration properties, such as the modal frequencies, with respect to the braiding angle, fiber volume fraction, and braided structure was conducted. The results show that the macroscopic vibration properties strongly depend on the braiding angle, fiber volume fraction, and braided structure. Three-dimensional braided composites are quite promising for the integrated design of materials and structures, as their macroscopic structural vibration behaviors can be optimized by properly regulating their microscopic material characteristics.

中文翻译：

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三维编织复合材料结构振动行为对材料特性的多尺度敏感性分析

摘要 三维编织复合材料在各个行业有着广泛的应用。本文提出了一个三步方案，能够对三维编织复合材料的振动特性进行多尺度分析。首先，构建了微尺度模型和中尺度力学模型，使用解析和数值方法预测编织复合材料的刚度特性。其次，从分析和数值的角度仔细研究了编织复合材料的宏观振动响应，然后用实验数据进行验证。第三，进行了振动特性的敏感性分析，例如模态频率，与编织角、纤维体积分数和编织结构有关。结果表明，宏观振动特性很大程度上取决于编织角度、纤维体积分数和编织结构。三维编织复合材料在材料和结构的集成设计方面很有前景，因为可以通过适当调节其微观材料特性来优化其宏观结构振动行为。