泥石流沖擊荷載作用下鋼筋混凝土攔擋壩動力響應分析
發(fā)布時間:2019-01-19 17:20
【摘要】:目前,泥石流重力式攔擋壩是根據(jù)《泥石流災害防治工程設計規(guī)范》設計的,即采用類似擋土墻方法設計,將泥石流的沖擊荷載作為一個靜力荷載作用在鋼筋混凝土攔擋壩上,從而進行靜力學分析,然而泥石流沖擊荷載是動力荷載。本文采用結構動力學的方法,建立了泥石流沖擊荷載與鋼筋混凝土攔擋壩的動力方程,分析了攔擋壩的動力響應。 (1)介紹了沖擊荷載的基本性質(zhì)和典型泥石流沖擊荷載,根據(jù)沖擊荷載的性質(zhì)和泥石流沖擊荷載的特殊性,最后選取了矩形脈沖、三角形脈沖兩種脈沖沖擊荷載作為泥石流沖擊荷載,并且假設了他們的數(shù)學表達式。 (2)由于鋼筋混凝土泥石流攔擋壩的截面不規(guī)則、幾何形狀的復雜性以及為了建模的可行性,本文引入了很多合理的假設。在此基礎上,建立了鋼筋混凝土泥石流攔擋在泥石流沖擊荷載作用下的偏微分方程。運用數(shù)學物理方程中的變量分離法得到了鋼筋混凝土泥石流攔擋在自由阻尼運動下的偏微分方程的特征值、特征函數(shù),以及方程的解析解,為后面的鋼筋混凝土攔擋壩的受迫阻尼運動建立了基礎。 (3)研究了鋼筋混凝土攔擋壩分別在兩種脈沖沖擊荷載,即在矩形脈沖荷載、三角形脈沖荷載作用下,運用了數(shù)學物理方程中特征函數(shù)系法和結構動力學中的振型疊加法得到了鋼筋混凝土攔擋壩的受迫阻尼運動下的位移的解析解。這個解析解是一個數(shù)學級數(shù),然而對于工程實際問題,根據(jù)一般的經(jīng)驗,系數(shù)取這個級數(shù)的前三項,就能滿足工程的精度要求。 (4)選取了典型實際工程及其相關的參數(shù),代入到方程的解析解,然后運用MATLAB軟件對解析解進行了分析和求解,在最后用有限元軟件MIDAS進行了驗證。
[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.
【學位授予單位】:蘭州理工大學
【學位級別】:碩士
【學位授予年份】:2014
【分類號】:TV312;TV649;P642.23
本文編號: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.
【學位授予單位】:蘭州理工大學
【學位級別】:碩士
【學位授予年份】:2014
【分類號】:TV312;TV649;P642.23
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