本文選題：鈦合金 + 動態(tài)本構(gòu)模型��； 參考：《四川大學(xué)學(xué)報(工程科學(xué)版)》2015年S2期

【摘要】：為分析鈦合金動態(tài)本構(gòu)模型參數(shù)的敏感度,克服傳統(tǒng)單因素分析法的弊端,采用拉丁超立方抽樣方法在整個參數(shù)空間中抽樣,利用非參數(shù)統(tǒng)計方法中的Spearman秩相關(guān)分析法對本構(gòu)參數(shù)隨機(jī)輸入樣本集與其對應(yīng)的目標(biāo)函數(shù)輸出結(jié)果集作相關(guān)性分析。建立了用Spearman秩相關(guān)系數(shù)等效求解參數(shù)敏感度的表達(dá)式,進(jìn)而實(shí)現(xiàn)了參數(shù)敏感度的整體性分析,提高了參數(shù)敏感度分析結(jié)果的可靠性�；趨�(shù)敏感度分析結(jié)果,為減少本構(gòu)模型參數(shù)識別的計算量,快速、精確、可靠地搜索最優(yōu)解,建立了基于改進(jìn)小生境算法、可疑峰值點(diǎn)判斷策略和局域精確搜索技術(shù)的改進(jìn)遺傳算法。該方法克服了基本遺傳算法存在的無法同時滿足精度、可靠性和節(jié)省計算時間的缺陷,避免了容易產(chǎn)生早熟現(xiàn)象,增強(qiáng)了局部尋優(yōu)能力。數(shù)值計算結(jié)果表明,提出的方法顯著提高了遺傳算法的全局搜索能力且計算精度高。提出的參數(shù)敏感度整體性分析方法和改進(jìn)遺傳算法不僅能很好地實(shí)現(xiàn)鈦合金的動態(tài)本構(gòu)參數(shù)識別,而且對其他工程材料本構(gòu)參數(shù)的高精度識別具有重要參考價值。
[Abstract]:In order to analyze the sensitivity of the parameters of the dynamic constitutive model of titanium alloy and overcome the disadvantages of traditional single factor analysis, Latin hypercube sampling method was used to sample the whole parameter space. The Spearman rank correlation analysis method is used to analyze the correlation between the random input sample set of constitutive parameters and the output result set of its corresponding objective function. An expression for calculating the sensitivity of parameters by using Spearman rank correlation coefficient is established, which realizes the holistic analysis of the sensitivity of parameters, and improves the reliability of the results of the sensitivity analysis. Based on the results of parameter sensitivity analysis, in order to reduce the computational cost of parameter identification of constitutive model and search the optimal solution quickly, accurately and reliably, an improved niche algorithm is established. An improved genetic algorithm for judging suspected peak points and local precise search techniques. This method overcomes the shortcomings of the basic genetic algorithm which can not satisfy the accuracy, reliability and save calculation time at the same time, avoids the phenomenon of precocity and enhances the ability of local optimization. The numerical results show that the proposed method improves the global search ability of the genetic algorithm and has a high accuracy. The proposed method of parameter sensitivity integrity analysis and improved genetic algorithm can not only realize the identification of dynamic constitutive parameters of titanium alloy, but also have important reference value for high precision identification of constitutive parameters of other engineering materials.
【作者單位】： 四川大學(xué)建筑與環(huán)境學(xué)院;北京應(yīng)用數(shù)學(xué)與力學(xué)研究所計算物理實(shí)驗室;
【基金】：國家自然科學(xué)基金資助項目(B1520132013-1)
【分類號】：TG146.23
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本文編號：1866715