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基于結(jié)構(gòu)-整機(jī)性能映射模型的機(jī)床薄弱件結(jié)構(gòu)優(yōu)化方法
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國家自然科學(xué)基金項(xiàng)目(51805346)和國家科技重大專項(xiàng)(2012ZX04005031)


Structure Optimization Method of Machine Tool Weak Part Based on Mapping Model between Structure and Whole Machine Performance
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    摘要:

    提出了一種基于結(jié)構(gòu)-整機(jī)性能映射模型的機(jī)床薄弱件結(jié)構(gòu)優(yōu)化方法。首先,通過機(jī)床動(dòng)靜態(tài)特性分析確定薄弱結(jié)構(gòu)部件。其次,提出基于擴(kuò)展常數(shù)自組織選取橢圓基函數(shù)(Elliptical basis function,EBF)的結(jié)構(gòu)-動(dòng)靜態(tài)性能映射元模型建模方法:對橢圓基函數(shù)神經(jīng)網(wǎng)絡(luò)進(jìn)行改進(jìn),提出基于擴(kuò)展常數(shù)自組織選取的EBF建模方法,通過擴(kuò)展系數(shù)的自組織選取以確定不同橢圓基函數(shù)合理的參與度與重疊性,避免所有橢圓基函數(shù)圖形偏平或偏尖而影響EBF建模精度;基于改進(jìn)后的橢圓基函數(shù)神經(jīng)網(wǎng)絡(luò)構(gòu)建薄弱件結(jié)構(gòu)-整機(jī)動(dòng)靜態(tài)性能映射元模型。通過實(shí)例樣本數(shù)據(jù)檢驗(yàn)得到,所構(gòu)建的機(jī)床實(shí)例映射元模型計(jì)算結(jié)果與實(shí)際值之間的誤差檢驗(yàn)復(fù)相關(guān)系數(shù)均在0995以上,說明了該結(jié)構(gòu)-整機(jī)性能映射元模型構(gòu)建方法的正確性。在此基礎(chǔ)上,根據(jù)上述薄弱件結(jié)構(gòu)-整機(jī)動(dòng)靜態(tài)性能映射關(guān)系,以整機(jī)動(dòng)靜態(tài)性能為評價(jià)指標(biāo),以薄弱結(jié)構(gòu)部件為優(yōu)化對象,基于多目標(biāo)優(yōu)化算法,實(shí)現(xiàn)面向機(jī)床整機(jī)性能的薄弱件結(jié)構(gòu)優(yōu)化。

    Abstract:

    A structure optimization method of machine tool weak part based on mapping model between structure and whole machine performance was proposed. In this method, firstly the structure weak component was determined by the dynamic and static characteristics analysis of machine tools. Secondly, the structure-performance mapping modeling method based on elliptical basis function (EBF) neural network, whose extended constant was selected adaptively, was proposed. In this section, the elliptical basis function neural networks was modified and improved, and the EBF modeling method based on self-adaptive extended constant was proposed. The self-organizing selection of expansion coefficients was used to determine the reasonable participation and overlap of different elliptic basis functions, and it can avoid all elliptical basis functions from too flatting or too slant effectively, which may affect the accuracy of EBF modeling. Then, the structure-performance mapping model based on improved elliptic basis function neural network was structured. Also the validity and correctness of the mapped model was verified based on the sample data: the correlation coefficients between actual values and calculation results from mapped model were all above 0.995. Thirdly, on the above basis, according to the physical mapping relation between structure and static/dynamic performance of the whole machine tool, considering the effect of boundary constraint of the whole assembly, by taking dynamic and static performances as evaluation, and choosing the structure of weak component as the optimization object, based on multi-objective optimization algorithm, the optimization of weak structure part and the whole dynamic performance of machine tool were realized finally. After optimization, the center point deformation of tool was reduced by 12.8%, the mass of structure part was reduced by 9.7%, while the first order natural frequency of the whole machine tool was increased by 6.9%.

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楊勇,孫群,沈曄湖,蔡曉童,李華,張子鉞.基于結(jié)構(gòu)-整機(jī)性能映射模型的機(jī)床薄弱件結(jié)構(gòu)優(yōu)化方法[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2018,49(12):420-428. YANG Yong, SUN Qun, SHEN Yehu, CAI Xiaotong, LI Hua, ZHANG Ziyue. Structure Optimization Method of Machine Tool Weak Part Based on Mapping Model between Structure and Whole Machine Performance[J]. Transactions of the Chinese Society for Agricultural Machinery,2018,49(12):420-428.

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  • 收稿日期:2018-04-08
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  • 在線發(fā)布日期: 2018-12-10
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