【摘要】：不含交叉項(xiàng)和完全二次型的二次多項(xiàng)式傳統(tǒng)響應(yīng)面法的應(yīng)用最為廣泛，但是它們?cè)谛屎途葍蓚�(gè)方面往往不能兼得�？紤]交叉項(xiàng)的自適應(yīng)響應(yīng)面法則可以在這兩個(gè)方面之間達(dá)到一個(gè)很好的平衡。為進(jìn)一步提高精度要求，通過(guò)引入多次更新樣本中心思想和迭代收斂準(zhǔn)則，本文對(duì)考慮交叉項(xiàng)的自適應(yīng)響應(yīng)面法進(jìn)行了改進(jìn)。對(duì)4種不同類型的數(shù)值算例分析可知：改進(jìn)之后的考慮交叉項(xiàng)的迭代自適應(yīng)響應(yīng)面法效率較高，且計(jì)算結(jié)果精度得到提高。 基于響應(yīng)面法的結(jié)構(gòu)可靠度分析，較多針對(duì)于僅含有一個(gè)功能函數(shù)的單一失效模式的構(gòu)件可靠度情況，并能得到較理想的結(jié)果。然而，對(duì)于經(jīng)典體系可靠度和一般體系可靠度問(wèn)題而言，，往往含有多個(gè)功能函數(shù)。學(xué)者們往往通過(guò)引入多重響應(yīng)面的方法對(duì)其進(jìn)行處理，卻丟失了響應(yīng)面法在效率和精度這兩方面的優(yōu)點(diǎn)�；诘葍r(jià)極值事件理論，可將經(jīng)典結(jié)構(gòu)體系可靠度問(wèn)題和一般結(jié)構(gòu)體系可靠度問(wèn)題均轉(zhuǎn)化為僅含一個(gè)功能函數(shù)的簡(jiǎn)單等價(jià)可靠度問(wèn)題形式，從而可使響應(yīng)面法能在體系可靠度分析中得以很好地運(yùn)用，即保證了運(yùn)算效率，又可得到滿足精度要求的結(jié)果。因此，本文將改進(jìn)后的考慮交叉項(xiàng)的迭代自適應(yīng)響應(yīng)面法與體系可靠度分析相結(jié)合，構(gòu)造了基于迭代自適應(yīng)響應(yīng)面法的體系可靠度分析方法，并為之設(shè)計(jì)了實(shí)現(xiàn)步驟。本文通過(guò)5個(gè)不同類型的算例對(duì)建議算法進(jìn)行了驗(yàn)證，結(jié)果表明：本文建議方法合理有效，且具有較高的精度和效率。 本文針對(duì)某一實(shí)際工程網(wǎng)架結(jié)構(gòu)，首先進(jìn)行了ANSYS有限元建模和結(jié)構(gòu)靜力分析。經(jīng)分析可知：該結(jié)構(gòu)在線性靜力分析時(shí)，結(jié)構(gòu)性能良好；在非線性靜力分析時(shí)，結(jié)構(gòu)承載能力較高。然后，采用本文建議的結(jié)構(gòu)可靠度分析方法對(duì)該結(jié)構(gòu)進(jìn)行了4種不同工況的體系可靠度分析，結(jié)果表明：該結(jié)構(gòu)體系具有較高的可靠度。本文又分析了雪荷載隨機(jī)變量對(duì)該結(jié)構(gòu)體系可靠度的影響，結(jié)果顯示雪荷載均值和積雪分布系數(shù)對(duì)其影響較大。 最后，本文對(duì)結(jié)構(gòu)構(gòu)件可靠度和體系可靠度的關(guān)系進(jìn)行了探索性研究，這部分可以看作是對(duì)基于結(jié)構(gòu)體系可靠度的結(jié)構(gòu)優(yōu)化設(shè)計(jì)方法或者直接基于體系可靠度結(jié)構(gòu)設(shè)計(jì)方法研究的初步探索性研究。本文將體系可靠度分析方法和基于構(gòu)件可靠度的結(jié)構(gòu)優(yōu)化設(shè)計(jì)理論相結(jié)合，針對(duì)簡(jiǎn)單三桿桁架結(jié)構(gòu)，對(duì)其最低構(gòu)件可靠指標(biāo)約束限值與優(yōu)化后結(jié)構(gòu)的體系可靠指標(biāo)的關(guān)系進(jìn)行了分析，結(jié)果表明兩者大致成線性關(guān)系，并給出了相應(yīng)的表達(dá)式。
[Abstract]:The traditional response surface method for quadratic polynomials without crossover terms and complete quadratic forms is the most widely used, but they can not be obtained both in efficiency and precision. The adaptive response surface rule considering crossover terms can achieve a good balance between these two aspects. In order to improve the precision, the adaptive response surface method considering the crossover term is improved by introducing the idea of multiple update samples and iterative convergence criterion. The numerical examples of four different types show that the improved iterative adaptive response surface method considering crossover terms is more efficient and the accuracy of the calculation results is improved. The structural reliability analysis based on the response surface method is more suitable for the reliability of a single failure mode with only one functional function, and the results are satisfactory. However, for classical system reliability and general system reliability problems, there are many functional functions. Scholars often use the method of multiple response surface to deal with it, but they lose the advantages of response surface method in efficiency and precision. Based on the equivalent extreme event theory, the classical structural system reliability problem and the general structural system reliability problem can be transformed into a simple equivalent reliability problem with only one function. Therefore, the response surface method can be applied to the reliability analysis of the system, which ensures the operation efficiency and obtains the results that meet the precision requirements. Therefore, the improved iterative adaptive response surface method considering crossover terms is combined with the system reliability analysis, and a system reliability analysis method based on the iterative adaptive response surface method is constructed, and the implementation steps are designed for it. In this paper, the proposed algorithm is verified by five different types of examples. The results show that the proposed method is reasonable and effective, and has high accuracy and efficiency. In this paper, ANSYS finite element modeling and structural static analysis are carried out for a practical grid structure. The analysis shows that the structure has good performance in linear static analysis and high bearing capacity in nonlinear static analysis. Then, the structural reliability analysis method proposed in this paper is used to analyze the system reliability of the structure under four different working conditions. The results show that the structure system has higher reliability. The influence of the random variable of snow load on the reliability of the structure is also analyzed. The results show that the mean value of snow load and the snow distribution coefficient have great influence on the reliability of the structure. Finally, the relationship between structural component reliability and system reliability is studied. This part can be regarded as a preliminary exploratory study of the structural optimization design method based on the reliability of the structure system or the structural design method directly based on the reliability of the structure system. In this paper, the reliability analysis method of the system is combined with the structural optimization design theory based on the reliability of the component, aiming at the simple three-bar truss structure. The relationship between the constraint limit of the minimum component reliability index and the system reliability index of the optimized structure is analyzed. The results show that the relationship between them is approximately linear and the corresponding expression is given.
【學(xué)位授予單位】：重慶大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2014
【分類號(hào)】：TU311.2

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 陳建軍,王芳林,費(fèi)小立,車建文;多工況下桿系結(jié)構(gòu)的概率優(yōu)化設(shè)計(jì)[J];工程力學(xué);2001年02期

2 熊鐵華;常曉林;;響應(yīng)面法在結(jié)構(gòu)體系可靠度分析中的應(yīng)用[J];工程力學(xué);2006年04期

3 蔣友寶;馮健;孟少平;;極限狀態(tài)響應(yīng)面法分析結(jié)構(gòu)可靠度的研究[J];公路交通科技;2006年11期

4 范文亮;張春濤;李正良;韓楓;;考慮交叉項(xiàng)的自適應(yīng)響應(yīng)面法[J];工程力學(xué);2013年04期

5 康海貴;張晶;張小慶;;體系可靠度計(jì)算中改進(jìn)的等價(jià)平面法[J];計(jì)算力學(xué)學(xué)報(bào);2010年01期

6 嚴(yán)松宏,趙朝前;變量相關(guān)條件下可靠指標(biāo)β的計(jì)算[J];蘭州鐵道學(xué)院學(xué)報(bào);2001年04期

7 貢金鑫,趙國(guó)藩;原始隨機(jī)空間內(nèi)結(jié)構(gòu)可靠度的分析方法[J];水利學(xué)報(bào);1999年05期

8 趙國(guó)藩,王恒棟;廣義隨機(jī)空間內(nèi)的結(jié)構(gòu)可靠度實(shí)用分析方法[J];土木工程學(xué)報(bào);1996年04期

9 李杰;范文亮;;鋼筋混凝土框架結(jié)構(gòu)體系可靠度分析[J];土木工程學(xué)報(bào);2008年11期

10 范文亮;李杰;;考慮多重失效機(jī)制的結(jié)構(gòu)體系可靠度分析[J];土木工程學(xué)報(bào);2011年11期

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