基于频响函数的复合材料空间分布模量场识别

发布时间：2018-07-10 09:42

本文选题：纤维编织复合材料 + 非均匀特性　；参考：《航空学报》2017年08期

【摘要】：针对纤维编织复合材料宏观力学性能的非均匀特性,提出了基于频响函数(FRF)的复合材料梁空间分布弹性模量场的识别方法。采用基于灵敏度分析的方法构造优化问题,以实测和计算加速度频响残差范数最小为目标函数,进而通过迭代求解识别出复合材料梁弹性模量的空间分布。首先,以悬臂梁模型为研究对象进行数值仿真分析,验证识别方法的正确性。进一步开展复合材料梁模态试验研究,将复合材料三点弯曲试验获取的近似均质化弹性模量作为优化问题的初值;利用非接触测量方法获取模态试验中梁上各测点处的动位移响应,并计算得到各测点的加速度频响函数作为优化问题的输入值。结果表明:采用所提出的识别方法获取的模量场计算得到的梁上各处频响函数与试验获取值吻合,且所提方法在实测动响应存在噪声污染工况下是可行的。该方法能够为复合材料等效建模提供更加准确的弹性模量场。
[Abstract]:Based on the nonuniform properties of fiber braided composites, a method for identifying the spatial distribution of elastic modulus field of composite beams based on FRF is proposed. The optimization problem is constructed based on sensitivity analysis. The minimum residual norm of acceleration frequency response is taken as the objective function and the spatial distribution of elastic modulus of composite beam is identified by iterative solution. Firstly, the model of cantilever beam is analyzed by numerical simulation to verify the correctness of the identification method. Further research on the modal test of composite beam is carried out. The approximate homogeneous elastic modulus obtained by three-point bending test of composite material is taken as the initial value of the optimization problem. The non-contact measurement method is used to obtain the dynamic displacement response of each measuring point on the beam in the modal test, and the acceleration frequency response function of each measuring point is calculated as the input value of the optimization problem. The results show that the frequency response function obtained by the proposed identification method is in agreement with the experimental values, and the proposed method is feasible under the condition of noise pollution in the measured dynamic response. This method can provide more accurate elastic modulus field for equivalent modeling of composite materials.
【作者单位】：东南大学工程力学系;江苏省工程力学分析重点实验室;东南大学机械工程学院;
【基金】：国家自然科学基金(11402052,11572086) 教育部新世纪优秀人才支持计划(NCET-11-0086) 江苏省自然科学基金(BK20140616)~~
【分类号】：TB332

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