本文選題：斜拉橋 + 拉索��； 參考：《東華理工大學(xué)》2015年碩士論文

【摘要】：斜拉橋所受到的激勵(lì)如地震、車輛、風(fēng)等均是不確定性荷載,具有一定的隨機(jī)性,因此全橋振動(dòng)響應(yīng)為隨機(jī)過程,那么橋面和橋塔對(duì)拉索的激勵(lì)亦具有隨機(jī)性。因此研究拉索在隨機(jī)激勵(lì)下的參數(shù)振動(dòng)響應(yīng)特性更具有實(shí)際意義�；谛崩瓨蚶鲄�(shù)振動(dòng)研究的重點(diǎn)和存在的問題,本論文的研究?jī)?nèi)容為:第一章對(duì)斜拉橋拉索隨機(jī)參數(shù)振動(dòng)的研究概況(理論、試驗(yàn)概況、工程概況)進(jìn)行了介紹;論文第二章建立了拉索的運(yùn)動(dòng)微分方程、水平拉索的參數(shù)振動(dòng)的模型,并進(jìn)行了求解分析;論文第三章建立了拉索在端部軸向位移激勵(lì)下的索-橋-塔耦合的參數(shù)振動(dòng)運(yùn)動(dòng)微分方程,并采用多尺度法對(duì)模型進(jìn)行求解,然后采用MATLAB軟件進(jìn)行了相關(guān)的數(shù)值模擬;論文第四章分別建立了斜拉橋拉索在橋面豎向激勵(lì)、橋塔水平向激勵(lì)及兩者共同作用下的運(yùn)動(dòng)微分方程,并對(duì)方程進(jìn)行了分析;論文第五章建立了斜拉橋拉索在橋面豎向位移激勵(lì)及橋塔水平位移激勵(lì)下的模型,并對(duì)阻尼項(xiàng)進(jìn)行了分析,然后進(jìn)行了數(shù)值模擬分析;論文第六章分析建立了拉索在兩端軸向隨機(jī)激勵(lì)下的運(yùn)動(dòng)方程,并進(jìn)行了分析求解,然后分別建立了拉索在橋面豎向隨機(jī)激勵(lì)、橋塔水平向隨機(jī)激勵(lì)及兩者共同作用下的運(yùn)動(dòng)微分方程,并將方程轉(zhuǎn)化為狀態(tài)方程及It?隨機(jī)微分方程,最后對(duì)拉索在軸向隨機(jī)激勵(lì)下的運(yùn)動(dòng)方程和橋面豎向隨機(jī)激勵(lì)或橋塔水平向隨機(jī)激勵(lì)下的運(yùn)動(dòng)方程進(jìn)行了對(duì)比分析;論文第七章,對(duì)論文中的創(chuàng)新工作進(jìn)行了總結(jié),并提出了下一步需要研究的問題。論文的創(chuàng)新之處在于,建立受橋面豎向或橋塔水平向位移激勵(lì)的拉索振動(dòng)的模型及索-橋-塔耦合的參數(shù)振動(dòng)運(yùn)動(dòng)微分方程,考察有垂度斜拉索在兩端軸向隨機(jī)激勵(lì)下、橋面豎向隨機(jī)位移激勵(lì)下、橋塔水平向隨機(jī)位移激勵(lì)下及橋面橋塔耦合作用下的運(yùn)動(dòng)微分方程,并進(jìn)行了求解分析,最后對(duì)拉索在軸向隨機(jī)激勵(lì)和豎向或水平向隨機(jī)激勵(lì)下的運(yùn)動(dòng)方程進(jìn)行了對(duì)比分析。
[Abstract]:The excitation of cable-stayed bridge, such as earthquake, vehicle, wind and so on, are all uncertain loads, so the vibration response of the whole bridge is a stochastic process, so the bridge deck and the bridge tower are also random to the cable excitation. Therefore, it is of practical significance to study the parametric vibration response of cable under random excitation. Based on the key points and existing problems of cable parameter vibration research of cable-stayed bridge, the research contents of this paper are as follows: the first chapter introduces the research survey of cable random parameter vibration of cable-stayed bridge (theory, test overview, engineering survey); In the second chapter, the differential equation of motion of the cable and the parametric vibration model of the horizontal cable are established and solved. In the third chapter, the parametric vibration differential equation of cable, bridge and tower under the axial displacement excitation of the end part is established, and the model is solved by multi-scale method, and then the numerical simulation is carried out by MATLAB software. In chapter 4, the differential equations of motion of cable-stayed bridge cables under the vertical excitation of bridge deck, the horizontal excitation of bridge tower and the interaction between them are established, and the equations are analyzed. In the fifth chapter, the model of cable-stayed bridge cable under vertical displacement excitation and horizontal displacement excitation is established, and the damping term is analyzed, and then the numerical simulation is carried out. In chapter 6, the equations of motion of cables under the axial random excitation are established and solved, and then the vertical random excitation of the cables on the bridge deck is established. The differential equations of motion under the horizontal random excitation of the bridge tower and the interaction between them are transformed into the equation of state and the ITT? Finally, the equation of motion of cable under axial random excitation and the equation of motion of bridge deck under vertical random excitation or horizontal random excitation of bridge tower are compared and analyzed. The innovation work in this paper is summarized, and the problems that need to be studied in the next step are put forward. The innovation of this paper is that the model of cable vibration excited by vertical displacement of bridge deck or tower and the differential equation of parametric vibration of cable-bridge tower coupling are established, and the vertical cable subjected to random axial excitation at both ends is investigated. The differential equations of motion under the excitation of vertical random displacement of bridge deck, the excitation of horizontal random displacement of bridge tower and the coupling action of bridge deck tower are analyzed and solved. Finally, the equations of motion of cable under axial random excitation and vertical or horizontal random excitation are compared and analyzed.
【學(xué)位授予單位】：東華理工大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：U441.3;U448.27

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 崔鵬飛;崔少飛;羅W，

本文編號(hào)：1776126