基于高斯過程的螢火蟲算法及其在板料成形優(yōu)化設(shè)計中的應(yīng)用
發(fā)布時間:2018-01-20 16:37
本文關(guān)鍵詞: 高斯過程 近似模型 螢火蟲算法 板料成形 出處:《鍛壓技術(shù)》2015年12期 論文類型:期刊論文
【摘要】:在板料成形優(yōu)化設(shè)計等領(lǐng)域中,許多復(fù)雜工程優(yōu)化問題往往表現(xiàn)出高維以及多重非線性耦合性等特征,從而導(dǎo)致此類問題優(yōu)化收斂效率大幅下降。本文提出了一種基于高斯過程近似模型的高維全局優(yōu)化方法,此方法最大優(yōu)勢在于:能夠建立基于高斯過程近似模型的搜索機(jī)制,利用該機(jī)制并結(jié)合EI(Expected Improvement)準(zhǔn)則,對螢火蟲算法生成的搜索訓(xùn)練樣本進(jìn)行篩選,從而自動產(chǎn)生新的樣本點(diǎn)。在此模式下進(jìn)行優(yōu)化迭代能夠確保算法的搜索快速集中在全局最優(yōu)點(diǎn)的較小區(qū)域內(nèi),進(jìn)而大幅提升優(yōu)化效率的同時確保收斂的穩(wěn)健性。復(fù)雜的高維非線性測試函數(shù)表明,算法具有處理復(fù)雜高維工程問題的能力。此外,算法成功應(yīng)用于NUMISHEET2013 BENCHMARK2中盒形件的板料成形中,對基于時變的壓邊力進(jìn)行了優(yōu)化設(shè)計。同主流的EGO(Efficient Global Optimization)相比,其精度和效率都得到了明顯的提升。
[Abstract]:In the field of sheet metal forming optimization design, many complex engineering optimization problems often show the characteristics of high dimension and multiple nonlinear coupling. As a result, the convergence efficiency of this kind of optimization problem is greatly reduced. In this paper, a high-dimensional global optimization method based on Gao Si process approximation model is proposed. The biggest advantage of this method lies in its ability to establish a search mechanism based on Gao Si's process approximation model, which can be used in combination with the EI(Expected implementation criterion. The search training samples generated by the firefly algorithm are filtered to automatically generate new sample points. In this mode, the optimization iteration can ensure that the search of the algorithm is quickly concentrated in the smaller region of the global best. Moreover, the complex high-dimensional nonlinear test function shows that the algorithm has the ability to deal with complex high-dimensional engineering problems. The algorithm is successfully applied to sheet metal forming of box parts in NUMISHEET2013 BENCHMARK2. The optimized design of the beam-holding force based on time-varying is carried out, which is compared with that of the mainstream EGO(Efficient Global optimization. Its precision and efficiency are obviously improved.
【作者單位】: 湖南大學(xué)汽車車身先進(jìn)設(shè)計制造國家重點(diǎn)實驗室;
【基金】:國家自然科學(xué)基金資助項目(11172097,11302266)
【分類號】:TG386;TP18
【正文快照】: 隨著計算機(jī)技術(shù)和數(shù)值計算方法的發(fā)展,有限元模擬技術(shù)逐漸成為板料成形分析中的重要手段并廣泛應(yīng)用于板料成形優(yōu)化設(shè)計中[1]。與傳統(tǒng)的物理實驗和試錯法相比,有限元仿真模擬技術(shù)的應(yīng)用大幅降低了板料成形優(yōu)化設(shè)計中的時間和成本。然而,在工程實踐應(yīng)用中,對結(jié)果的判斷和相關(guān)參
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