基于頻響函數(shù)的復合材料空間分布模量場識別
發(fā)布時間:2018-07-10 09:42
本文選題:纖維編織復合材料 + 非均勻特性; 參考:《航空學報》2017年08期
【摘要】:針對纖維編織復合材料宏觀力學性能的非均勻特性,提出了基于頻響函數(shù)(FRF)的復合材料梁空間分布彈性模量場的識別方法。采用基于靈敏度分析的方法構(gòu)造優(yōu)化問題,以實測和計算加速度頻響殘差范數(shù)最小為目標函數(shù),進而通過迭代求解識別出復合材料梁彈性模量的空間分布。首先,以懸臂梁模型為研究對象進行數(shù)值仿真分析,驗證識別方法的正確性。進一步開展復合材料梁模態(tài)試驗研究,將復合材料三點彎曲試驗獲取的近似均質(zhì)化彈性模量作為優(yōu)化問題的初值;利用非接觸測量方法獲取模態(tài)試驗中梁上各測點處的動位移響應,并計算得到各測點的加速度頻響函數(shù)作為優(yōu)化問題的輸入值。結(jié)果表明:采用所提出的識別方法獲取的模量場計算得到的梁上各處頻響函數(shù)與試驗獲取值吻合,且所提方法在實測動響應存在噪聲污染工況下是可行的。該方法能夠為復合材料等效建模提供更加準確的彈性模量場。
[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.
【作者單位】: 東南大學工程力學系;江蘇省工程力學分析重點實驗室;東南大學機械工程學院;
【基金】:國家自然科學基金(11402052,11572086) 教育部新世紀優(yōu)秀人才支持計劃(NCET-11-0086) 江蘇省自然科學基金(BK20140616)~~
【分類號】:TB332
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