多点激励作用下大跨度斜拉桥地震反应研究

发布时间：2018-04-13 19:22

本文选题：斜拉桥 + 人工地震波　；参考：《西南交通大学》2014年硕士论文

【摘要】：地震是一种破坏力极强的自然灾害现象,发生频繁且难以预测。作为关键性交通枢纽工程的斜拉桥,一旦遭受毁坏,将会造成严重的直接和间接生命财产损失,并且随着近年来大跨度斜拉桥建设项目的兴起,对其抗震分析方面的研究更是显得迫切且必要。对于跨度长达数百米甚至上千米的斜拉桥,基于一致激励假设的地震反应分析方法已经不能满足要求,还须考虑地震动随时间和空间的变异性后进行多点激励作用下的地震反应分析。本文围绕大跨度斜拉桥地震反应分析进行了如下几方面的工作：首先,介绍了空间相关非平稳人工地震波合成的理论和数值模拟方法。其中,主要阐述了人工地震波合成的基本理论和具体方法,并介绍了分别用于考虑地震动空间相关性和非平稳性的相干函数和相位差谱函数理论,基于这些理论本文采用MATLAB编制了空间相关非平稳人工地震波的合成程序,并将程序所合成的人工地震波应用于本文相关地震反应分析；其次,阐述了大跨度斜拉桥的几何非线性问题及其有限元分析方法；介绍了大跨度斜拉桥动力计算分析的建模方法；基于非线性有限元理论,建立和推导了一致激励和多点激励作用下多自由度体系的非线性运动方程,并详细阐述了直接积分法求解运动方程的具体推导过程和步骤；基于相关理论,本文采用MATLAB编制了斜拉桥几何非线性平面杆系有限元静力计算程序和地震反应动力时程分析程序。最后,以一座大跨度斜拉桥为工程背景,以自编程序为分析工具,对其进行了一致激励、行波效应和多点激励地震作用下的地震反应分析,得出了一些对工程有益的结论,为大跨度斜拉桥的工程抗震分析提供了一些参考和依据。
[Abstract]:The earthquake is a devastating natural disaster phenomenon, frequent and unpredictable. As a key transportation hub cable-stayed bridge engineering, once destroyed, it will cause serious direct and indirect loss of life and property, and with the recent rise of the long-span cable-stayed bridge construction project, the seismic analysis the research is very urgent and necessary.
For a cable-stayed bridge spanning hundreds of meters or even thousands of kilometers, the seismic response analysis method based on consistent excitation hypothesis can no longer meet the requirements. We must consider the variability of ground motion with time and space, and conduct seismic response analysis under multi-point excitation.
In this paper, the seismic response analysis of the long-span cable-stayed bridge has been carried out in the following aspects:
First of all, introduced the related non space wave theory and numerical simulation method of stable artificial earthquake. Among them, mainly expounds the basic theory of artificial seismic wave synthesis and concrete method, are introduced respectively for considering ground motion spatial correlation and coherence function and the non stationarity of the phase difference spectrum function theory, the theory based on MATLAB the spatial correlation of nonstationary artificial seismic wave synthesis procedure based on artificial seismic wave and program synthesis is applied to analyze the seismic response;
Secondly, elaborated the geometric nonlinearity of long-span cable-stayed bridge and finite element analysis method; introduces the modeling method of calculation and analysis of large span cable-stayed bridge dynamic; nonlinear finite element theory, established and deduced the nonlinear equations of motion of uniform excitation and under the effect of multi degree of freedom system, and detailed the specific derivation process and steps of solving the motion equation of the direct integral method; based on the related theories, this paper uses MATLAB for cable-stayed bridge geometrical nonlinear finite element static dynamic calculation program and seismic response time history analysis program.
Finally, taking a long-span cable-stayed bridge as the engineering background, the program as the analysis tool, carries on the uniform excitation, traveling wave effect and the seismic response analysis of multi excitation under the action of earthquake, and draw some useful conclusions for the project, provide some reference and basis for engineering seismic analysis of long span cable stayed bridge.

【学位授予单位】：西南交通大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：U442.55;U448.27

【参考文献】