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移動(dòng)荷載作用下非飽和地基動(dòng)力響應(yīng)理論研究

發(fā)布時(shí)間:2019-01-22 19:07
【摘要】:近年來(lái)隨著高速鐵路、高速公路的快速發(fā)展,地基的動(dòng)力響應(yīng)問(wèn)題受到相關(guān)學(xué)者的廣泛關(guān)注。眾所周知,高速鐵路、高速公路對(duì)路基的沉降要求非常嚴(yán)格,而路基的沉降問(wèn)題與列車荷載、地基類型以及路軌系統(tǒng)等因素有著密不可分的關(guān)系;诖,本文對(duì)飽和地基、非飽和地基以及軌道-地基的耦合系統(tǒng)在移動(dòng)荷載作用下的動(dòng)力響應(yīng)進(jìn)行了詳細(xì)的研究和探索。 首先結(jié)合飽和土的Biot動(dòng)力控制方程,利用Fourier變換技術(shù)和Cauchy-Reimann條件,求解得到了飽和地基的位移、應(yīng)力的積分形式解。同時(shí),采用Fourier逆變換并結(jié)合數(shù)值算例,詳細(xì)討論了移動(dòng)荷載速度、荷載頻率以及飽和土體的滲透系數(shù)等因素對(duì)飽和地基動(dòng)力響應(yīng)的影響。 用解析的方法研究了軌道—非飽和地基的耦合系統(tǒng)在移動(dòng)荷載作用下的動(dòng)力響應(yīng)。將鋼軌簡(jiǎn)化為無(wú)限長(zhǎng)彈性Euler梁,同時(shí)考慮了枕木、道渣層的影響。在Fourier變換域內(nèi)聯(lián)立軌道和下臥非飽和土體的動(dòng)力方程,求解得到了移動(dòng)荷載作用下耦合系統(tǒng)位移、應(yīng)力的積分形式解。最后通過(guò)數(shù)值計(jì)算考察了非飽和地基飽和度、鋼軌剛度等因素對(duì)動(dòng)力響應(yīng)的影響。 天然地基是由復(fù)雜的三相體構(gòu)成的。一般來(lái)說(shuō),地下水位以下土體可近似地視為飽和土;而地下水位以上土體中由于存在較多氣體,將其視為非飽和土才更符合實(shí)際。針對(duì)這一情況,本文開(kāi)展了相關(guān)研究工作。利用飽和土的Biot動(dòng)力控制方程以及非飽和土的動(dòng)力控制方程,得到了移動(dòng)荷載作用下上覆非飽和層的飽和地基位移、應(yīng)力積分形式解。并且采用Fourier逆變換給出了數(shù)值計(jì)算結(jié)果,討論了上覆非飽和土層的飽和度、厚度以及地表排氣排水條件等因素對(duì)動(dòng)力響應(yīng)的影響。
[Abstract]:In recent years, with the rapid development of high-speed railway and expressway, the dynamic response of foundation has been concerned widely. As we all know, the settlement requirement of the high speed railway and highway is very strict, and the settlement problem of the subgrade is closely related to the train load, the type of foundation and the rail system and so on. Based on this, the dynamic response of the coupled system of saturated foundation, unsaturated foundation and rail-foundation under moving load is studied and explored in detail in this paper. Based on the Biot dynamic control equation of saturated soil, the integral solution of displacement and stress of saturated soil is obtained by using Fourier transform technique and Cauchy-Reimann condition. At the same time, the effects of moving load velocity, load frequency and permeability coefficient of saturated soil on the dynamic response of saturated soil are discussed in detail by using Fourier inverse transformation and numerical examples. In this paper, the dynamic response of the coupled system of track to unsaturated foundation under moving load is studied by analytical method. The rail is simplified as an infinite elastic Euler beam and the influence of sleeper and slag layer is considered. The integral solutions of displacement and stress of the coupled system under moving load are obtained by solving the dynamic equations of the simultaneous track and the underlying unsaturated soil in the domain of Fourier transform. Finally, the effects of saturation of unsaturated foundation and rail stiffness on dynamic response are investigated numerically. The natural foundation is made up of complex three-phase bodies. Generally speaking, soil below groundwater level can be considered as saturated soil approximately, but it is more practical to treat soil below groundwater level as unsaturated soil because of the existence of more gases in the soil above groundwater level. In view of this situation, this article has carried out the related research work. By using the Biot dynamic control equation of saturated soil and the dynamic control equation of unsaturated soil, the solutions of displacement and stress integral of saturated foundation overlying unsaturated layer under moving load are obtained. The numerical results are obtained by using the inverse Fourier transform. The effects of saturation, thickness of the overlying unsaturated soil layer and the exhaust and drainage conditions of the surface on the dynamic response are discussed.
【學(xué)位授予單位】:浙江大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2015
【分類號(hào)】:TU435

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