本文關(guān)鍵詞： 一致多尺度 尖端裂紋 斜拉橋 靜力分析 損傷分析　出處：《北京建筑大學(xué)》2017年碩士論文　論文類型：學(xué)位論文

【摘要】：新經(jīng)濟(jì)政策以來(lái),我國(guó)綜合國(guó)力繼續(xù)穩(wěn)步提升。在經(jīng)濟(jì)增長(zhǎng)繼續(xù)利好的情況下,更加便捷的出行環(huán)境和更加豐富的交通網(wǎng)絡(luò)成為了人民群眾的主要需求之一。這一經(jīng)濟(jì)需要給橋梁等建筑工程領(lǐng)域的發(fā)展帶來(lái)了新的機(jī)遇與挑戰(zhàn)。當(dāng)今橋梁工程也面向跨度更大、耗材更少的宏觀目標(biāo)發(fā)展,斜拉橋作為這之中主要結(jié)構(gòu)形式,其技術(shù)也日趨精進(jìn)。然而高速的發(fā)展也產(chǎn)生了不少問(wèn)題,失效是其中之一。有數(shù)據(jù)統(tǒng)計(jì),失效的橋梁61%以上未達(dá)設(shè)計(jì)壽命的一半。這不能不讓人痛心。此外,大型土木結(jié)構(gòu)的缺陷經(jīng)過(guò)長(zhǎng)期積累,還會(huì)產(chǎn)生極大的安全隱患,為人民群眾的生活帶來(lái)威脅。針對(duì)上述問(wèn)題的重要性,本文運(yùn)用一致多尺度有限元模擬方法,建立可以同時(shí)進(jìn)行斜拉橋結(jié)構(gòu)整體分析和局部細(xì)節(jié)特性分析的數(shù)值模型,并基于斷裂力學(xué)理論開(kāi)展關(guān)于斜拉橋在含有初始缺陷等損傷情況下的失效模式研究。本課題選取某斜拉橋?yàn)楣こ瘫尘?主要內(nèi)容有:(1)詳細(xì)介紹了斜拉橋的發(fā)展情況,系統(tǒng)梳理對(duì)于大型土木結(jié)構(gòu)有限元模型建立的一致多尺度方法的原理和現(xiàn)有研究進(jìn)展,并給出了以斷裂力學(xué)原理為基礎(chǔ)的裂紋損傷失效的數(shù)學(xué)描述。(2)結(jié)合現(xiàn)有一致多尺度有限元模擬方法的理論及應(yīng)用情況,從虛功原理出發(fā),以多點(diǎn)約束方程法為研究對(duì)象,探討多尺度有限元數(shù)值模型的新連接方式,編寫(xiě)相應(yīng)子程序并結(jié)合算例加以驗(yàn)證。結(jié)果表明,新連接方式計(jì)算結(jié)果和解析解相比其誤差率小于5%,實(shí)現(xiàn)了在保證結(jié)構(gòu)整體分析和局部應(yīng)力狀態(tài)分析并發(fā)計(jì)算基礎(chǔ)上的分析精度的提高。(3)利用現(xiàn)有商業(yè)軟件ANSYS編輯裂紋尖端模型子程序,和一致多尺度數(shù)值模擬方法共同運(yùn)用,選取算例進(jìn)行建模,借助應(yīng)力強(qiáng)度因子的計(jì)算解判別多尺度模擬方法和失效模式子程序同時(shí)使用的可操作性和準(zhǔn)確性。(4)建立某斜拉橋數(shù)值模型,通過(guò)整體結(jié)構(gòu)分析結(jié)果選擇關(guān)鍵區(qū)域建立多尺度模型,詳細(xì)分析了多尺度區(qū)域在不同工況下的應(yīng)力分布情況。并探討了關(guān)鍵區(qū)域存在初始損傷缺陷這類局部失效的情況下,該結(jié)構(gòu)的損傷是否會(huì)進(jìn)一步演化。
[Abstract]:Since the new economic policy, China's overall national strength has continued to improve steadily. A more convenient travel environment and a richer transportation network have become one of the main needs of the people. This economic need has brought new opportunities and challenges to the development of construction engineering such as bridges. It also faces a larger span, The technology of cable-stayed bridge, as the main structural form of the bridge, is becoming more and more sophisticated. However, there are many problems in the rapid development of cable-stayed bridge, among which failure is one of them. Failure of the bridge more than 61% less than half of the design life. This can not be sad. In addition, the defects of large civil structures have accumulated over a long period of time, but also have great safety risks. In view of the importance of the above problems, a numerical model of cable-stayed bridge structure analysis and local detail analysis can be established by using the uniform multi-scale finite element simulation method, which can be used to analyze the structure of cable-stayed bridge at the same time. Based on the theory of fracture mechanics, the failure modes of cable-stayed bridges with damage such as initial defects are studied. In this paper, a cable-stayed bridge is selected as the engineering background, the main content of which is: 1) the development of cable-stayed bridge is introduced in detail. The principle and current research progress of the uniform multi-scale method for the finite element modeling of large civil structures are systematically reviewed. The mathematical description of crack damage failure based on the principle of fracture mechanics is given. (2) combined with the theory and application of the existing uniform multi-scale finite element simulation method, based on the principle of virtual work, the multi-point constraint equation method is taken as the research object. This paper discusses the new connection method of multi-scale finite element numerical model, writes the corresponding subroutine and verifies it with an example. The results show that, Compared with the analytical solution, the error rate of the new connection method is less than 5, which can improve the accuracy of the analysis based on the analysis of the whole structure and the local stress state analysis, and make use of the existing commercial software ANSYS to edit. Crack tip model subroutine, And the uniform multi-scale numerical simulation method is used together, and a numerical example is selected to model the model. The numerical model of a cable-stayed bridge is established by means of the multi-scale simulation method of the stress intensity factor and the maneuverability and accuracy of the failure mode subroutine. The multi-scale model is established by selecting the key area from the overall structural analysis results, and the stress distribution of the multi-scale region under different working conditions is analyzed in detail, and the local failure of the critical region with initial damage defects is discussed. Whether the damage of the structure will evolve further.
【學(xué)位授予單位】：北京建筑大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：U448.27

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