泥石流冲击荷载作用下钢筋混凝土拦挡坝动力响应分析
发布时间：2019-01-19 17:20
【摘要】：目前,泥石流重力式拦挡坝是根据《泥石流灾害防治工程设计规范》设计的,即采用类似挡土墙方法设计,将泥石流的冲击荷载作为一个静力荷载作用在钢筋混凝土拦挡坝上,从而进行静力学分析,然而泥石流冲击荷载是动力荷载。本文采用结构动力学的方法,建立了泥石流冲击荷载与钢筋混凝土拦挡坝的动力方程,分析了拦挡坝的动力响应。 (1)介绍了冲击荷载的基本性质和典型泥石流冲击荷载,根据冲击荷载的性质和泥石流冲击荷载的特殊性,最后选取了矩形脉冲、三角形脉冲两种脉冲冲击荷载作为泥石流冲击荷载,并且假设了他们的数学表达式。 (2)由于钢筋混凝土泥石流拦挡坝的截面不规则、几何形状的复杂性以及为了建模的可行性,本文引入了很多合理的假设。在此基础上,建立了钢筋混凝土泥石流拦挡在泥石流冲击荷载作用下的偏微分方程。运用数学物理方程中的变量分离法得到了钢筋混凝土泥石流拦挡在自由阻尼运动下的偏微分方程的特征值、特征函数,以及方程的解析解,为后面的钢筋混凝土拦挡坝的受迫阻尼运动建立了基础。 (3)研究了钢筋混凝土拦挡坝分别在两种脉冲冲击荷载,即在矩形脉冲荷载、三角形脉冲荷载作用下,运用了数学物理方程中特征函数系法和结构动力学中的振型叠加法得到了钢筋混凝土拦挡坝的受迫阻尼运动下的位移的解析解。这个解析解是一个数学级数,然而对于工程实际问题,根据一般的经验,系数取这个级数的前三项,就能满足工程的精度要求。 (4)选取了典型实际工程及其相关的参数,代入到方程的解析解,然后运用MATLAB软件对解析解进行了分析和求解,在最后用有限元软件MIDAS进行了验证。
[Abstract]:At present, the gravity retaining dam of debris flow is designed according to the Design Code of debris flow disaster Prevention Engineering, that is, the impact load of debris flow is designed as a static load on the reinforced concrete retaining dam by using the similar retaining wall method. The static analysis is carried out, but the impact load of debris flow is dynamic load. In this paper, the dynamic equations of debris flow impact load and reinforced concrete retaining dam are established by the method of structural dynamics, and the dynamic response of retaining dam is analyzed. The main contents are as follows: (1) the basic properties of impact load and typical debris flow impact load are introduced. According to the nature of impact load and the particularity of debris flow impact load, the rectangular pulse is selected. The triangular pulse two kinds of impulse impact loads are used as debris flow impact loads and their mathematical expressions are assumed. (2) due to the irregular section of reinforced concrete debris flow retaining dam, the complexity of geometric shape and the feasibility of modeling, many reasonable assumptions are introduced in this paper. On this basis, the partial differential equation of reinforced concrete debris flow blocking under the impact load of debris flow is established. By using the method of variable separation in mathematical and physical equations, the eigenvalues, eigenfunctions, and analytical solutions of partial differential equations of reinforced concrete debris flow blocked by free damping motion are obtained. The foundation of forced damping motion of reinforced concrete retaining dam is established. (3) it is studied that the reinforced concrete retaining dam is subjected to two kinds of impulse impact load, namely, rectangular pulse load and triangular pulse load. In this paper, the method of characteristic function system in mathematical physics equation and the mode superposition method in structural dynamics are used to obtain the analytical solution of the displacement of reinforced concrete damped dam under forced damping motion. The analytical solution is a mathematical series. However, according to the general experience, the first three terms of this series can meet the requirements of engineering accuracy. (4) A typical practical project and its related parameters are selected and substituted into the analytical solution of the equation. Then the analytical solution is analyzed and solved by using MATLAB software. Finally, the finite element software MIDAS is used to verify the solution.
【学位授予单位】：兰州理工大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TV312;TV649;P642.23
本文编号：2411577
[Abstract]:At present, the gravity retaining dam of debris flow is designed according to the Design Code of debris flow disaster Prevention Engineering, that is, the impact load of debris flow is designed as a static load on the reinforced concrete retaining dam by using the similar retaining wall method. The static analysis is carried out, but the impact load of debris flow is dynamic load. In this paper, the dynamic equations of debris flow impact load and reinforced concrete retaining dam are established by the method of structural dynamics, and the dynamic response of retaining dam is analyzed. The main contents are as follows: (1) the basic properties of impact load and typical debris flow impact load are introduced. According to the nature of impact load and the particularity of debris flow impact load, the rectangular pulse is selected. The triangular pulse two kinds of impulse impact loads are used as debris flow impact loads and their mathematical expressions are assumed. (2) due to the irregular section of reinforced concrete debris flow retaining dam, the complexity of geometric shape and the feasibility of modeling, many reasonable assumptions are introduced in this paper. On this basis, the partial differential equation of reinforced concrete debris flow blocking under the impact load of debris flow is established. By using the method of variable separation in mathematical and physical equations, the eigenvalues, eigenfunctions, and analytical solutions of partial differential equations of reinforced concrete debris flow blocked by free damping motion are obtained. The foundation of forced damping motion of reinforced concrete retaining dam is established. (3) it is studied that the reinforced concrete retaining dam is subjected to two kinds of impulse impact load, namely, rectangular pulse load and triangular pulse load. In this paper, the method of characteristic function system in mathematical physics equation and the mode superposition method in structural dynamics are used to obtain the analytical solution of the displacement of reinforced concrete damped dam under forced damping motion. The analytical solution is a mathematical series. However, according to the general experience, the first three terms of this series can meet the requirements of engineering accuracy. (4) A typical practical project and its related parameters are selected and substituted into the analytical solution of the equation. Then the analytical solution is analyzed and solved by using MATLAB software. Finally, the finite element software MIDAS is used to verify the solution.
【学位授予单位】：兰州理工大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TV312;TV649;P642.23
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