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多點(diǎn)激勵作用下大跨度斜拉橋地震反應(yīng)研究

發(fā)布時間:2018-04-13 19:22

  本文選題:斜拉橋 + 人工地震波; 參考:《西南交通大學(xué)》2014年碩士論文


【摘要】:地震是一種破壞力極強(qiáng)的自然災(zāi)害現(xiàn)象,發(fā)生頻繁且難以預(yù)測。作為關(guān)鍵性交通樞紐工程的斜拉橋,一旦遭受毀壞,將會造成嚴(yán)重的直接和間接生命財產(chǎn)損失,并且隨著近年來大跨度斜拉橋建設(shè)項目的興起,對其抗震分析方面的研究更是顯得迫切且必要。 對于跨度長達(dá)數(shù)百米甚至上千米的斜拉橋,基于一致激勵假設(shè)的地震反應(yīng)分析方法已經(jīng)不能滿足要求,還須考慮地震動隨時間和空間的變異性后進(jìn)行多點(diǎn)激勵作用下的地震反應(yīng)分析。 本文圍繞大跨度斜拉橋地震反應(yīng)分析進(jìn)行了如下幾方面的工作: 首先,介紹了空間相關(guān)非平穩(wěn)人工地震波合成的理論和數(shù)值模擬方法。其中,主要闡述了人工地震波合成的基本理論和具體方法,并介紹了分別用于考慮地震動空間相關(guān)性和非平穩(wěn)性的相干函數(shù)和相位差譜函數(shù)理論,基于這些理論本文采用MATLAB編制了空間相關(guān)非平穩(wěn)人工地震波的合成程序,并將程序所合成的人工地震波應(yīng)用于本文相關(guān)地震反應(yīng)分析; 其次,闡述了大跨度斜拉橋的幾何非線性問題及其有限元分析方法;介紹了大跨度斜拉橋動力計算分析的建模方法;基于非線性有限元理論,建立和推導(dǎo)了一致激勵和多點(diǎn)激勵作用下多自由度體系的非線性運(yùn)動方程,并詳細(xì)闡述了直接積分法求解運(yùn)動方程的具體推導(dǎo)過程和步驟;基于相關(guān)理論,本文采用MATLAB編制了斜拉橋幾何非線性平面桿系有限元靜力計算程序和地震反應(yīng)動力時程分析程序。 最后,以一座大跨度斜拉橋為工程背景,以自編程序為分析工具,對其進(jìn)行了一致激勵、行波效應(yīng)和多點(diǎn)激勵地震作用下的地震反應(yīng)分析,得出了一些對工程有益的結(jié)論,為大跨度斜拉橋的工程抗震分析提供了一些參考和依據(jù)。
[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.

【學(xué)位授予單位】:西南交通大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2014
【分類號】:U442.55;U448.27

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