【摘要】：在工程實(shí)際中，存在著很多影響結(jié)構(gòu)行為的隨機(jī)因素，傳統(tǒng)確定性分析方法未能精確考慮這些因素影響，分析結(jié)果很難全面反映結(jié)構(gòu)真實(shí)性能。開展隨機(jī)理論與確定性有限元相結(jié)合的隨機(jī)有限元分析方法，研究隨機(jī)因素對(duì)結(jié)構(gòu)行為影響，可以提高分析精度。許多長(zhǎng)期處于海洋、工業(yè)、大氣等腐蝕環(huán)境下的鋼結(jié)構(gòu)工程，通常難以通過(guò)防護(hù)和構(gòu)造措施以及維修制度避免結(jié)構(gòu)發(fā)生銹蝕。結(jié)構(gòu)銹蝕后其截面厚度不再是恒定值，而是與銹坑分布和銹蝕深度相關(guān)的隨機(jī)過(guò)程。本文以銹蝕鋼結(jié)構(gòu)厚度隨機(jī)為研究問(wèn)題出發(fā)點(diǎn)，建立基于截面厚度隨機(jī)銹蝕鋼結(jié)構(gòu)承載性能隨機(jī)有限元分析方法。本文主要研究工作如下： 1.應(yīng)用隨機(jī)場(chǎng)理論，對(duì)銹蝕構(gòu)件表面特征數(shù)據(jù)進(jìn)行平穩(wěn)性和各態(tài)歷經(jīng)性檢驗(yàn)，，研究結(jié)果表明，銹坑分布和深度隨機(jī)場(chǎng)是平穩(wěn)的且具有各態(tài)歷經(jīng)性，鋼結(jié)構(gòu)銹蝕深度隨機(jī)場(chǎng)可以用一個(gè)樣本函數(shù)的數(shù)字特征表示。本文應(yīng)用指數(shù)三角函數(shù)型模型模擬了銹蝕深度隨機(jī)場(chǎng)自相關(guān)函數(shù)，推導(dǎo)出銹蝕深度隨機(jī)場(chǎng)譜密度函數(shù)，建立了銹蝕深度隨機(jī)場(chǎng)，并由此推導(dǎo)出銹蝕后殘余厚度隨機(jī)場(chǎng)模型。 2.將銹蝕后殘余厚度隨機(jī)場(chǎng)引入確定性有限元分析中，把截面厚度表示為殘余平均厚度與隨機(jī)變化部分之和；把確定性有限元中的幾何矩陣分解為常數(shù)項(xiàng)矩陣與多項(xiàng)式乘積之和的形式，從而使單元?jiǎng)偠染仃嚤环纸鉃榇_定性剛度矩陣和偏剛度矩陣，并以此建立了四結(jié)點(diǎn)矩形薄板單元彎曲小撓度和大撓度問(wèn)題隨機(jī)有限元分析理論。 3.根據(jù)建立的銹蝕薄板彎曲隨機(jī)有限元分析理論，編制了計(jì)算機(jī)程序，以此分析了銹蝕H型鋼偏心受壓承載性，并將有限元分析結(jié)果與試驗(yàn)結(jié)果進(jìn)行了對(duì)比分析。
[Abstract]:In engineering practice, there are many random factors which affect the behavior of structure. The traditional deterministic analysis method can not accurately consider these factors, so it is difficult to fully reflect the real performance of the structure. A stochastic finite element analysis method combining stochastic theory with deterministic finite element method is developed to study the influence of random factors on structural behavior and the accuracy of the analysis can be improved. Many steel structures which have been in the environment of marine, industrial and atmospheric corrosion for a long time are usually difficult to avoid structural corrosion by means of protective and structural measures and maintenance systems. The thickness of the section after corrosion is not a constant value, but a stochastic process related to the distribution of rust pits and corrosion depth. Based on the random thickness of corroded steel structures, a stochastic finite element analysis method for bearing capacity of corroded steel structures based on section thickness is established in this paper. The main work of this paper is as follows: 1. The random field theory is used to test the stability and ergodic properties of surface characteristic data of corroded components. The results show that the distribution of rust pits and depth random fields are stable and ergodic. The corrosion depth random field of steel structures can be expressed as a numerical feature of a sample function. In this paper, the exponential trigonometric function is used to simulate the corrosion depth random field autocorrelation function, the corrosion depth random field spectrum density function is derived, and the corrosion depth random field is established, and the model of the corroded residual thickness random field is derived. 2. The residual thickness after corrosion is introduced into the deterministic finite element analysis, and the thickness of the section is expressed as the sum of the residual mean thickness and the random variation part. The geometric matrix in deterministic finite element is decomposed into the sum of constant term matrix and polynomial product, so that the element stiffness matrix is decomposed into deterministic stiffness matrix and partial stiffness matrix. The stochastic finite element analysis theory of four node rectangular thin plate element with small bending deflection and large deflection is established. 3. Based on the theory of stochastic finite element analysis of corroded thin plate bending, a computer program is developed to analyze the eccentric bearing capacity of corroded H-section steel, and the finite element analysis results are compared with the experimental results.
【學(xué)位授予單位】：西安建筑科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2013
【分類號(hào)】：TU391

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 陳祥;鋼結(jié)構(gòu)的腐蝕及其防護(hù)探析[J];房材與應(yīng)用;2005年01期

2 李賢興;陳虬;;隨機(jī)有限元分析及其在復(fù)合材料中的應(yīng)用[J];工程力學(xué);1989年01期

3 陳虬,戴志敏;隨機(jī)有限元-最大熵法[J];工程力學(xué);1992年03期

4 秦權(quán);隨機(jī)有限元及其進(jìn)展──Ⅰ．隨機(jī)場(chǎng)的離散和反應(yīng)矩的計(jì)算[J];工程力學(xué);1994年04期

5 秦權(quán);隨機(jī)有限元及其進(jìn)展──Ⅱ．可靠度隨機(jī)有限元和隨機(jī)有限元的應(yīng)用[J];工程力學(xué);1995年01期

6 張圣坤;;不確定性問(wèn)題的有限元方法及應(yīng)用[J];固體力學(xué)學(xué)報(bào);1987年03期

7 朱位秋,任永堅(jiān);隨機(jī)場(chǎng)的局部平均與隨機(jī)有限元[J];航空學(xué)報(bào);1986年06期

8 黃炎生，韓大建;一種隨機(jī)有限元新方法[J];華南理工大學(xué)學(xué)報(bào)(自然科學(xué)版);1995年01期

9 譚代倫;張世祿;俸衛(wèi);;積分域封閉的二元GAUSS數(shù)值積分方法研究[J];西華師范大學(xué)學(xué)報(bào)(自然科學(xué)版);2007年03期

10 陳付龍;;二元數(shù)值積分的計(jì)算方法[J];計(jì)算機(jī)工程與應(yīng)用;2007年19期

相關(guān)博士學(xué)位論文 前1條

1 朱紅霞;隨機(jī)場(chǎng)理論在地基可靠度分析中的應(yīng)用研究[D];天津大學(xué);2008年

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