基于隨機(jī)場(chǎng)理論的水泥混凝土路面結(jié)構(gòu)可靠性分析
本文選題:水泥混凝土路面 + 隨機(jī)場(chǎng) ; 參考:《哈爾濱工業(yè)大學(xué)》2014年碩士論文
【摘要】:在我國(guó),水泥路面結(jié)構(gòu)是十分重要的路面結(jié)構(gòu)形式之一,無(wú)論是在高等級(jí)公路中還是在低等級(jí)公路中都有十分廣泛的應(yīng)用。評(píng)價(jià)水泥路面質(zhì)量的一個(gè)十分重要的指標(biāo)是路面結(jié)構(gòu)的可靠度,這也是水泥路面結(jié)構(gòu)研究的一個(gè)重要內(nèi)容。水泥路面結(jié)構(gòu)的尺寸、材料性能和作用荷載均具有不確定性,如何更加準(zhǔn)確的描述上述隨機(jī)因素、選擇適合的可靠性分析方法以及分析隨機(jī)因素對(duì)結(jié)構(gòu)可靠性的影響是本文研究的主要內(nèi)容。 (1)首先分析影響水泥路面結(jié)構(gòu)可靠性的隨機(jī)因素,主要有累計(jì)標(biāo)準(zhǔn)軸載作用次數(shù)、軸載、混凝土彎拉強(qiáng)度、溫度梯度、各結(jié)構(gòu)層材料的模量、混凝土板厚度。根據(jù)上述因素的特點(diǎn),將面層、基層和土基模量模擬為二維隨機(jī)場(chǎng),其他因素模擬為隨機(jī)變量。根據(jù)局部平局法將模量隨機(jī)場(chǎng)離散為隨機(jī)變量,計(jì)算了協(xié)方差矩陣與相關(guān)系數(shù)矩陣。 (2)然后基于Ansys軟件,建立水泥路面結(jié)構(gòu)有限元模型,同時(shí)驗(yàn)證了模型的正確性。將上述隨機(jī)變量作為輸入變量,分布形式均采用截?cái)嗟恼龖B(tài)分布,根據(jù)Ansys/PDS模塊提供的蒙特卡羅法,計(jì)算了混凝土板疲勞斷裂和極限斷裂兩種極限狀態(tài)情況下的結(jié)構(gòu)失效概率,,分析了對(duì)結(jié)構(gòu)可靠性影響較大的隨機(jī)因素,主要有混凝土板厚度、軸載、混凝土彎拉強(qiáng)度和面層模量。并對(duì)比分析了模量的隨機(jī)場(chǎng)模型和隨機(jī)變量模型對(duì)結(jié)構(gòu)失效概率的影響,結(jié)果表明模量隨機(jī)變量模型計(jì)算的失效概率要大于模量隨機(jī)場(chǎng)模型計(jì)算的失效概率。 (3)最后分析了軸載、材料模量、混凝土板厚度、面層與基層的接觸條件和溫度梯度與車(chē)輛荷載綜合作用對(duì)路面結(jié)構(gòu)可靠性的影響。結(jié)果表明,板厚均值、面層模量均值和軸載對(duì)水泥路面結(jié)構(gòu)可靠性影響顯著,板厚、面層模量變異系數(shù)相比于均值來(lái)說(shuō),對(duì)結(jié)構(gòu)可靠性影響較。幻鎸优c基層的摩擦系數(shù)與結(jié)構(gòu)失效概率的關(guān)系曲線存在臨界點(diǎn),控制摩擦系數(shù)大于該點(diǎn)對(duì)于提高結(jié)構(gòu)可靠性十分有益;溫度梯度與車(chē)輛荷載綜合作用對(duì)結(jié)構(gòu)可靠性影響十分顯著,正溫度梯度時(shí)結(jié)構(gòu)失效概率明顯大于未考慮溫度梯度與車(chē)輛荷載綜合作用時(shí)結(jié)構(gòu)的失效概率,而負(fù)溫度梯度時(shí)結(jié)構(gòu)失效概率很小。
[Abstract]:In China, cement pavement structure is one of the most important pavement structure forms. It is widely used in high grade highway and low grade highway. A very important index to evaluate the quality of cement pavement is the reliability of pavement structure, which is also an important content in the study of cement pavement structure. The size, material performance and action load of cement pavement structure are uncertain. How to describe the random factors more accurately, Choosing suitable reliability analysis methods and analyzing the influence of random factors on structural reliability are the main contents of this paper. (1) the random factors affecting the structural reliability of cement pavement are analyzed firstly. There are mainly accumulative standard axial loads, flexural tensile strength of concrete, temperature gradient, modulus of each structural layer material, thickness of concrete slab. According to the characteristics of the above factors, the modulus of the surface layer, the base layer and the soil foundation is simulated as a two-dimensional random field, while the other factors are simulated as random variables. According to the local draw method, the modulus random field is discretized into random variables, the covariance matrix and the correlation coefficient matrix are calculated. (2) based on Ansys software, the finite element model of cement pavement structure is established, and the correctness of the model is verified. The random variables mentioned above are taken as input variables. The distribution forms are truncated normal distribution. According to Monte Carlo method provided by Ansys / PDS module, the failure probability of concrete slab under two limit states of fatigue fracture and ultimate fracture is calculated. The random factors affecting the reliability of the structure are analyzed, including the thickness of concrete slab, the axial load, the flexural tensile strength of concrete and the modulus of the surface layer. The effects of random field model of modulus and random variable model on failure probability of structure are compared and analyzed. The results show that the failure probability calculated by the modulus random variable model is greater than that calculated by the modulus random field model. (3) finally, the axial load, the modulus of material and the thickness of concrete slab are analyzed. The influence of the contact condition between the surface layer and the base course and the effect of temperature gradient and vehicle load on the reliability of pavement structure. The results show that the mean value of plate thickness, the average modulus of surface layer and the axial load have a significant effect on the reliability of cement pavement structure, and the coefficient of variation of slab thickness and modulus of surface layer have less effect on the reliability of cement pavement compared with the average value. There is a critical point in the curve between the friction coefficient of the surface layer and the base layer and the failure probability of the structure. It is very beneficial to control the friction coefficient larger than this point to improve the reliability of the structure. The effect of temperature gradient and vehicle load synthesis on the structural reliability is very significant. The failure probability of the structure under the positive temperature gradient is obviously higher than that of the structure without considering the comprehensive effect of the temperature gradient and the vehicle load. However, the failure probability of the structure is very small when the temperature gradient is negative.
【學(xué)位授予單位】:哈爾濱工業(yè)大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2014
【分類(lèi)號(hào)】:U416.216
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