本文選題：非均勻彈性地基　切入點(diǎn)：薄板變形　出處：《中國礦業(yè)大學(xué)》2016年碩士論文

【摘要】：隨著我國經(jīng)濟(jì)的發(fā)展,工程建設(shè)項(xiàng)目持續(xù)增多、規(guī)模不斷擴(kuò)大,非均勻彈性地基上板狀結(jié)構(gòu)物在在土木、地基和采礦工程領(lǐng)域有了越來越廣泛的應(yīng)用,因此非均勻彈性地基薄板的變形研究具有重要的工程實(shí)際意義。本文主要采用理論分析、數(shù)值計(jì)算和數(shù)值模擬等方法,針對非均勻彈性地基薄板的變形,提出了一種半解析解法,并將其應(yīng)用到沿空掘巷回采工作面基本頂?shù)淖冃斡?jì)算中,分析了基本頂變形的周期演化規(guī)律,取得的研究成果總結(jié)如下：(1)基于任意形狀區(qū)域的彈性地基分布假設(shè),建立了非均勻彈性地基矩形薄板彎曲變形的力學(xué)模型,推導(dǎo)了非均勻彈性地基薄板彎曲變形的控制方程。針對各區(qū)域所受載荷、邊界條件和彈性地基系數(shù)的差異及全域無統(tǒng)一撓度試函數(shù)的問題,提出了一種新的半解析解求解思路和方法,即將各區(qū)域撓度試函數(shù)設(shè)定為滿足已知邊界條件并含有待定參數(shù)的函數(shù)形式,應(yīng)用常用解法求解出各區(qū)域的含待定參數(shù)表示的系數(shù),再利用共有邊界的連續(xù)性條件,確定出各待定參數(shù)的值,得到所有求解域的薄板撓度分布函數(shù)解,并通過算例驗(yàn)證了該方法的精確性和優(yōu)越性。(2)基于沿空掘巷回采工作面基本頂破壞特征及受力分布,結(jié)合基本頂?shù)闹芷谄茢嗪投尾蓜佑绊懸?guī)律,建立了基本頂?shù)姆蔷鶆驈椥缘鼗匦伪“宓牧W(xué)模型,應(yīng)用非均勻彈性地基矩形薄板變形半解析解法,通過MATLAB編程計(jì)算,分析了沿空掘巷回采工作面基本頂?shù)淖冃窝莼?guī)律。(3)結(jié)合工程實(shí)例,基于FLAC3D軟件對沿空掘巷回采工作面基本頂變形進(jìn)行了數(shù)值模擬,分析了基本頂下沉值隨著工作面推進(jìn)的演化規(guī)律,總結(jié)出回采期間沿空掘巷頂板、巷道變形最大的位置,并據(jù)此提出了巷道圍巖控制技術(shù)。將數(shù)值模擬結(jié)果與理論計(jì)算結(jié)果對比,發(fā)現(xiàn)二者基本相符,驗(yàn)證了理論計(jì)算的可靠性和有效性,為沿空掘巷圍巖變形和控制提供理論依據(jù)。
[Abstract]:With the development of our country's economy, the number and scale of construction project is increasing, and the plate structure on non-uniform elastic foundation has been widely used in civil engineering, foundation and mining engineering field.Therefore, it is of great practical significance to study the deformation of inhomogeneous elastic foundation thin plate.In this paper, a semi-analytical method is proposed for the deformation of thin plates of inhomogeneous elastic foundation by means of theoretical analysis, numerical calculation and numerical simulation, and it is applied to the calculation of the basic roof deformation of the mining face along the goaf roadway.The periodic evolution law of the basic top deformation is analyzed, and the research results are summarized as follows: (1) based on the assumption of elastic foundation distribution in arbitrary shape region, a mechanical model of bending deformation of rectangular thin plate on inhomogeneous elastic foundation is established.The governing equation of bending deformation of thin plate on inhomogeneous elastic foundation is derived.Aiming at the difference of load, boundary condition and elastic foundation coefficient in different regions and the problem that there is no uniform deflection test function in the whole region, a new method for solving semi-analytical solution is presented.The deflection test function of each region is set up as the function form which satisfies the known boundary conditions and contains undetermined parameters. The coefficients of each region with undetermined parameters are solved by using common solutions, and then the continuity conditions of common boundaries are used.The values of the parameters to be determined are determined, and the deflection distribution function solutions of thin plates in all the solving domains are obtained. The accuracy and superiority of the method are verified by an example. The results show that the method is based on the basic roof failure characteristics and the force distribution of the mining face along the goaf roadway.Combined with the law of periodic breaking and secondary mining of basic roof, the mechanical model of rectangular thin plate with inhomogeneous elastic foundation on basic roof is established. The semi-analytical method of deformation of rectangular thin plate on non-uniform elastic foundation is applied, and the calculation is carried out by MATLAB programming.This paper analyzes the evolution law of the basic roof deformation of the working face along the gob roadway. Combined with the engineering example, based on the FLAC3D software, the numerical simulation of the basic roof deformation of the mining face along the goaf roadway is carried out.This paper analyzes the evolution law of the basic roof subsidence value with the advance of the working face, sums up the position of the maximum deformation of the roadway during the mining period, and puts forward the control technology of the surrounding rock of the roadway.By comparing the numerical simulation results with the theoretical calculation results, it is found that the two results are basically consistent with each other, which verifies the reliability and validity of the theoretical calculation, and provides a theoretical basis for the deformation and control of the surrounding rock along the goaf roadway.
【學(xué)位授予單位】：中國礦業(yè)大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2016
【分類號】：TD353

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