粘弹性支承桥梁的竖向车致振动响应分析
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粘弹性支承桥梁的竖向车致振动响应分析(任务书,开题报告,论文13000字)
摘要
随着我国桥梁建设的飞速发展,车致振动产生的振动对周围环境的影响也越来越严重,橡胶支座作为连接上部结构和下部结构的重要部件被广泛应用于桥梁减隔震领域来阻隔水平地震作用的传播,也逐渐被应用于环境振动领域来阻隔竖向车致振动的传播。传统的车桥耦合振动模型中一般将橡胶支座考虑为刚性连接,忽略其刚度和阻尼的影响来探讨车桥耦合振动,但实际工程中橡胶支座不是刚性支承结构而是柔性支承结构,特别是桥梁减振支座,与一般铁路桥梁中的常用支座如板式橡胶支座或盆式橡胶支座相比,具有竖向低刚度,高阻尼的特点。
因此,为研究粘弹性支承对梁振动的影响,本文通过理论开展了粘弹性支承条件下轨道梁的竖向车致振动响应分析的研究工作,主要包括:
(1)分别建立在移动荷载作用下的简支梁和弹性梁的振动模型,获得其相应的位移
响应,并对比推导在移动荷载作用下粘弹性支承条件的梁的竖向车致振动响应。
(2)根据已获得的粘弹性支承的梁的位移响应结果,探讨在支座处刚度比和阻尼比以及频率比等不同参数以及桥梁自身跨度或者其上行驶车辆速度对粘弹性支承梁车致振动响应的影响规律。
研究结果表明:粘弹性支承所得车致振动响应与刚性支承以及弹性支承不同,粘弹性支座比刚性支承对轨道梁车致振动影响更大。
本文的特色在于将支座简化为粘弹性支座来分析在移动荷载作用下轨道梁的竖向车致振动响应。
关键词:刚性支承梁;弹性支承梁;粘弹性支承梁;车致振动;参数分析
Abstract
With the rapid development of bridge construction in China, the environmental vibration caused by vehicle-induced vibration is also becoming more and more serious. As an important component connecting the upper structure and the lower structure, rubber bearings are widely used in the field of bridge isolation and isolation to block horizontal earthquakes. The spread is also gradually applied to the field of environmental vibration to block the propagation of vibration caused by vertical vehicles.In the traditional axle-coupled vibration model, the rubber bearing is generally considered as a rigid connection, and the influence of stiffness and damping is ignored to discuss the coupling vibration of the axle. However, in actual engineering, the rubber bearing is not a rigid supporting structure but a flexible supporting structure, especially It is a bridge vibration-damping bearing, which has the characteristics of vertical low rigidity and high damping compared with common rail bridge common supports such as plate or basin rubber bearings.
Therefore, in order to study the influence of viscosity support on beam vibration, this paper studies the vertical vehicle-induced vibration response analysis of track beam under viscosity support conditions, including:
(1) The vibration models of simply supported beams and elastic beams under the action of moving simple harmonic loads are obtained respectively, and the corresponding displacement responses are obtained. The vertical vehicle induced vibration responses of beams under viscosity support conditions are compared.
(2) According to the displacement response of the beam obtained by viscosity support,and discuss the influence of different parameters such as stiffness ratio and damping ratio and frequency ratio at the support and the span of the bridge or the speed of the vehicle on the vibration response of the viscosity support beam.
The vibratory response of the viscoelastic support is different from the rigid support and the elastic support.The viscoelastic support has a greater influence on the vibration of the rail beam than the rigid support.
The feature of this paper is to simplify the support to a viscosity support to analyze the vertical vehicle-induced vibration response of the beam under moving loads.
Key words: Rigid support beam; elastic support beam; viscoelastic support beam; vehicle induced vibration; parameter analysis
目录
摘要 I
Abstract II
第1章 绪论 1
1.1 研究背景及意义 1
1.2 国内外研究现状 1
1.2.1刚性支承梁的研究现状 1
1.2.2弹性支承梁的研究现状 2
1.2.3粘弹性支承梁的研究现状 2
1.3 本文所做的工作 3
第2章 轨道梁的车致振动响应分析 5
2.1 移动荷载作用下轨道梁的振动响应分析 5
2.1.1刚性支承梁的理论推导 5
2.1.2弹性支承梁的理论推导 8
2.1.3粘弹性支承梁的理论推导 11
2.2 粘弹性支承梁的数值算例分析 14
2.3 本章小结 18
第3章 粘弹性支承梁的车致振动参数分析 19
3.1 支座刚度对桥梁车致振动的影响 19
3.2 支座质量对桥梁车致振动的影响 20
3.3 支座阻尼对桥梁车致振动的影响 21
3.4 车辆速度对桥梁车致振动的影响 23
3.5 桥梁跨度对桥梁车致振动的影响 24
3.6 本章小结 25
第4章 结论与展望 26
4.1 结论 26
4.2 展望 26
参考文献 28
致谢 29