斜拉桥拉索随机参数振动问题的研究

发布时间：2018-04-20 04:01

本文选题：斜拉桥 + 拉索　；参考：《东华理工大学》2015年硕士论文

【摘要】：斜拉桥所受到的激励如地震、车辆、风等均是不确定性荷载,具有一定的随机性,因此全桥振动响应为随机过程,那么桥面和桥塔对拉索的激励亦具有随机性。因此研究拉索在随机激励下的参数振动响应特性更具有实际意义。基于斜拉桥拉索参数振动研究的重点和存在的问题,本论文的研究内容为:第一章对斜拉桥拉索随机参数振动的研究概况(理论、试验概况、工程概况)进行了介绍;论文第二章建立了拉索的运动微分方程、水平拉索的参数振动的模型,并进行了求解分析;论文第三章建立了拉索在端部轴向位移激励下的索-桥-塔耦合的参数振动运动微分方程,并采用多尺度法对模型进行求解,然后采用MATLAB软件进行了相关的数值模拟;论文第四章分别建立了斜拉桥拉索在桥面竖向激励、桥塔水平向激励及两者共同作用下的运动微分方程,并对方程进行了分析;论文第五章建立了斜拉桥拉索在桥面竖向位移激励及桥塔水平位移激励下的模型,并对阻尼项进行了分析,然后进行了数值模拟分析;论文第六章分析建立了拉索在两端轴向随机激励下的运动方程,并进行了分析求解,然后分别建立了拉索在桥面竖向随机激励、桥塔水平向随机激励及两者共同作用下的运动微分方程,并将方程转化为状态方程及It?随机微分方程,最后对拉索在轴向随机激励下的运动方程和桥面竖向随机激励或桥塔水平向随机激励下的运动方程进行了对比分析;论文第七章,对论文中的创新工作进行了总结,并提出了下一步需要研究的问题。论文的创新之处在于,建立受桥面竖向或桥塔水平向位移激励的拉索振动的模型及索-桥-塔耦合的参数振动运动微分方程,考察有垂度斜拉索在两端轴向随机激励下、桥面竖向随机位移激励下、桥塔水平向随机位移激励下及桥面桥塔耦合作用下的运动微分方程,并进行了求解分析,最后对拉索在轴向随机激励和竖向或水平向随机激励下的运动方程进行了对比分析。
[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.
【学位授予单位】：东华理工大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：U441.3;U448.27

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