發(fā)布時(shí)間：2018-11-24 08:46

【摘要】：復(fù)雜多質(zhì)量特性穩(wěn)健設(shè)計(jì)是工程優(yōu)化領(lǐng)域的難點(diǎn),而關(guān)鍵結(jié)構(gòu)參數(shù)的復(fù)雜多質(zhì)量特性的穩(wěn)健設(shè)計(jì)問題更為復(fù)雜。解決此項(xiàng)工程難題需要完成三項(xiàng)工作:關(guān)鍵結(jié)構(gòu)參數(shù)的提取、挖掘出復(fù)雜多質(zhì)量特性與關(guān)鍵結(jié)構(gòu)參數(shù)之間的關(guān)系式、具備最佳關(guān)鍵結(jié)構(gòu)參數(shù)條件下保證質(zhì)量特性達(dá)到高穩(wěn)健水平。在傳統(tǒng)工程優(yōu)化的基礎(chǔ)之上,考慮外界因素導(dǎo)致復(fù)雜多質(zhì)量特性產(chǎn)生波動(dòng),將穩(wěn)健設(shè)計(jì)理念融入優(yōu)化過程中,展開復(fù)雜多質(zhì)量特性的穩(wěn)健設(shè)計(jì)并且獲得最佳關(guān)鍵結(jié)構(gòu)參數(shù)優(yōu)化值。以微動(dòng)平臺(tái)為研究實(shí)例來貫穿全文,提出面向關(guān)鍵結(jié)構(gòu)參數(shù)的復(fù)雜多質(zhì)量特性穩(wěn)健設(shè)計(jì),主要研究?jī)?nèi)容如下:首先,展開微動(dòng)平臺(tái)關(guān)鍵結(jié)構(gòu)參數(shù)的提取工作。確定各參數(shù)屬性并構(gòu)建微動(dòng)平臺(tái)模型,剖析微動(dòng)平臺(tái)運(yùn)動(dòng)原理。為獲取設(shè)計(jì)過程中所需要的試驗(yàn)數(shù)據(jù),采用有限元仿真技術(shù)手段對(duì)微動(dòng)平臺(tái)進(jìn)行模擬仿真。對(duì)微動(dòng)平臺(tái)所有的結(jié)構(gòu)參數(shù)進(jìn)行正交試驗(yàn)設(shè)計(jì)制定試驗(yàn)方案,結(jié)合微動(dòng)平臺(tái)具有尺寸數(shù)量多且質(zhì)量特性復(fù)雜的特點(diǎn),運(yùn)用灰色關(guān)聯(lián)法對(duì)微動(dòng)平臺(tái)質(zhì)量特性和結(jié)構(gòu)參數(shù)的關(guān)系進(jìn)行分析,根據(jù)結(jié)構(gòu)參數(shù)與質(zhì)量特性的關(guān)聯(lián)程度的大小來確定關(guān)鍵結(jié)構(gòu)參數(shù),完成微動(dòng)平臺(tái)關(guān)鍵結(jié)構(gòu)參數(shù)的提取工作。其次,在提取微動(dòng)平臺(tái)關(guān)鍵結(jié)構(gòu)參數(shù)的基礎(chǔ)上,構(gòu)建復(fù)雜多質(zhì)量特性與關(guān)鍵結(jié)構(gòu)參數(shù)的數(shù)學(xué)模型關(guān)系式。采用拉丁超立方試驗(yàn)設(shè)計(jì)方法獲取試驗(yàn)方案,通過模擬仿真得到試驗(yàn)方案中復(fù)雜多質(zhì)量特性的數(shù)值,根據(jù)徑向基函數(shù)代理模型構(gòu)建思路搭建微動(dòng)平臺(tái)復(fù)雜多質(zhì)量特性與關(guān)鍵結(jié)構(gòu)參數(shù)之間的數(shù)學(xué)模型關(guān)系式。為驗(yàn)證該模型關(guān)系式的精確度,采用相對(duì)平均絕對(duì)誤差、均方根誤差和相對(duì)最大絕對(duì)誤差三項(xiàng)評(píng)價(jià)標(biāo)準(zhǔn)進(jìn)行精確度的評(píng)估,結(jié)果表明構(gòu)建的數(shù)學(xué)模型關(guān)系式精確度高,能夠用于進(jìn)行后續(xù)的穩(wěn)健設(shè)計(jì)工作。最后,針對(duì)復(fù)雜多質(zhì)量特性進(jìn)行穩(wěn)健設(shè)計(jì)并確定關(guān)鍵結(jié)構(gòu)參數(shù)優(yōu)化值。傳統(tǒng)確定性優(yōu)化可以提高微動(dòng)平臺(tái)綜合性能,但未考慮隨機(jī)變動(dòng)載荷、材料特性等不確定性因素,無法解決由外界因素影響帶來的波動(dòng)性問題。為提高微動(dòng)平臺(tái)質(zhì)量特性穩(wěn)健水平,在確定性優(yōu)化決策模型的基礎(chǔ)上構(gòu)建6σ設(shè)計(jì)數(shù)學(xué)模型,采用蒙特卡洛法對(duì)關(guān)鍵結(jié)構(gòu)參數(shù)進(jìn)行抽樣,將抽樣結(jié)果代入6σ設(shè)計(jì)數(shù)學(xué)模型中并運(yùn)用多島遺傳算法求解,最終得到關(guān)鍵結(jié)構(gòu)參數(shù)優(yōu)化值和各質(zhì)量特性的均值與標(biāo)準(zhǔn)差,完成微動(dòng)平臺(tái)復(fù)雜多質(zhì)量特性穩(wěn)健設(shè)計(jì)。為了驗(yàn)證設(shè)計(jì)結(jié)果,進(jìn)行確定性優(yōu)化,將確定性優(yōu)化結(jié)果與穩(wěn)健設(shè)計(jì)結(jié)果進(jìn)行對(duì)比,同時(shí)分析質(zhì)量特性的平均值、標(biāo)準(zhǔn)差以及正態(tài)分布情況,結(jié)果表明本文提出面向關(guān)鍵結(jié)構(gòu)參數(shù)的復(fù)雜多質(zhì)量特性穩(wěn)健設(shè)計(jì)方法的正確性和有效性。
[Abstract]:Robust design of complex multi-mass characteristics is a difficult problem in the field of engineering optimization, and the robust design problem of complex multi-mass characteristics of key structural parameters is more complex. To solve this problem, we need to complete three tasks: extracting the key structural parameters, mining out the relationship between the complex multi-quality characteristics and the key structural parameters. The quality characteristics are guaranteed to reach a high robust level under the condition of the best key structural parameters. On the basis of the traditional engineering optimization, considering the external factors, the complex multi-quality characteristics are fluctuated, and the robust design concept is integrated into the optimization process. The robust design of complex multi-mass characteristics is developed and the optimal key structural parameters are obtained. Taking the fretting platform as an example, the robust design of complex multi-quality characteristics for key structural parameters is proposed. The main research contents are as follows: firstly, the extraction of key structural parameters of fretting platform is carried out. The parameters are determined and the fretting platform model is constructed, and the motion principle of the fretting platform is analyzed. In order to obtain the experimental data needed in the design process, the finite element simulation technique was used to simulate the fretting platform. All the structural parameters of the fretting platform are designed by orthogonal test and the test scheme is made. The fretting platform has the characteristics of large quantity and complex quality characteristics. The grey correlation method is used to analyze the relationship between the quality characteristics and structural parameters of the fretting platform. The key structural parameters are determined according to the degree of correlation between the structural parameters and the quality characteristics, and the extraction of the key structural parameters of the fretting platform is completed. Secondly, on the basis of extracting the key structural parameters of the fretting platform, a mathematical model of complex multi-quality characteristics and key structural parameters is constructed. The Latin hypercube experimental design method is used to obtain the test scheme, and the numerical value of the complex and multi-mass characteristics of the test scheme is obtained by simulation. According to the idea of constructing radial basis function agent model, the mathematical model relationship between complex multi-mass characteristics and key structural parameters of fretting platform is established. In order to verify the accuracy of the model, the relative mean absolute error, root mean square error and relative maximum absolute error are used to evaluate the accuracy. The results show that the established mathematical model has high accuracy. Can be used for subsequent robust design work. Finally, robust design and optimization of key structural parameters are carried out for complex multi-mass characteristics. Traditional deterministic optimization can improve the comprehensive performance of fretting platform, but it can not solve the volatility problem caused by external factors without considering the uncertain factors such as random variable load and material characteristics. In order to improve the robustness level of the fretting platform's quality characteristics, a 6 蟽 design mathematical model is constructed on the basis of deterministic optimization decision model. The Monte Carlo method is used to sample the key structural parameters. The sampling results are substituted into the 6 蟽 design mathematical model and solved by multi-island genetic algorithm. Finally, the optimization values of key structural parameters and the mean and standard deviation of each quality characteristic are obtained, and the robust design of complex multi-mass characteristics of fretting platform is completed. In order to verify the design results and carry out deterministic optimization, the deterministic optimization results are compared with the robust design results. At the same time, the average value, standard deviation and normal distribution of the quality characteristics are analyzed. The results show that the robust design method for complex multi-mass characteristics is correct and effective for key structural parameters.
【學(xué)位授予單位】：江西理工大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：F273.2

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本文編號(hào)：2353020