基于頻響函數(shù)的復(fù)合材料空間分布模量場(chǎng)識(shí)別
發(fā)布時(shí)間:2018-07-10 09:42
本文選題:纖維編織復(fù)合材料 + 非均勻特性 ; 參考:《航空學(xué)報(bào)》2017年08期
【摘要】:針對(duì)纖維編織復(fù)合材料宏觀力學(xué)性能的非均勻特性,提出了基于頻響函數(shù)(FRF)的復(fù)合材料梁空間分布彈性模量場(chǎng)的識(shí)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(shí)測(cè)和計(jì)算加速度頻響殘差范數(shù)最小為目標(biāo)函數(shù),進(jìn)而通過迭代求解識(shí)別出復(fù)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(duì)象進(jìn)行數(shù)值仿真分析,驗(yàn)證識(shí)別方法的正確性。進(jìn)一步開展復(fù)合材料梁模態(tài)試驗(yàn)研究,將復(fù)合材料三點(diǎn)彎曲試驗(yàn)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(cè)量方法獲取模態(tài)試驗(yàn)中梁上各測(cè)點(diǎn)處的動(dòng)位移響應(yīng),并計(jì)算得到各測(cè)點(diǎn)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(shí)別方法獲取的模量場(chǎng)計(jì)算得到的梁上各處頻響函數(shù)與試驗(yàn)獲取值吻合,且所提方法在實(shí)測(cè)動(dòng)響應(yīng)存在噪聲污染工況下是可行的。該方法能夠?yàn)閺?fù)合材料等效建模提供更加準(zhǔn)確的彈性模量場(chǎng)。
[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(xué)工程力學(xué)系;江蘇省工程力學(xué)分析重點(diǎn)實(shí)驗(yàn)室;東南大學(xué)機(jī)械工程學(xué)院;
【基金】:國(guó)家自然科學(xué)基金(11402052,11572086) 教育部新世紀(jì)優(yōu)秀人才支持計(jì)劃(NCET-11-0086) 江蘇省自然科學(xué)基金(BK20140616)~~
【分類號(hào)】:TB332
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