移动简谐荷载列作用下简支梁竖向动力响应的解析解及其应用研究

发布时间：2019-06-28 09:22

【摘要】：基于移动简谐荷载列模型,理论推导了简支梁竖向动力响应的解析表达式;利用该解析式编写MATLAB程序,对CRH3动车组作用下的高速铁路32m标准简支梁进行了竖向共振分析,研究了谐振频率、荷载列移动速度、体系阻尼比等因素对共振效应的影响。计算结果表明:阻尼比减振效果随阻尼比的增大而减弱,故结构设计中不宜过度提高阻尼比;在阻尼比为0.02时,谐振频率引起共振的动力放大系数超过20,而过桥速度引起的共振动力放大系数最大仅约为2.5,但考虑到前者对应的荷载幅值仅为后者对应荷载值的0.2,故建议在实际设计中应充分考虑两种情况下的共振效应。最后通过与已有文献结果的对比,验证了该解析推导结果的正确性。本文解析式能够直接迅速地进行参数影响分析,为初步设计提供了参考。
[Abstract]:Based on the moving harmonic load series model, the analytical expression of vertical dynamic response of simply supported beams is derived theoretically, and the vertical resonance of 32m standard simply supported beams of high speed railway under the action of CRH3 EMU is analyzed by using MATLAB program, and the effects of resonance frequency, moving speed of load train and damping ratio of system on resonance effect are studied. The results show that the damping ratio weakens with the increase of damping ratio, so it is not appropriate to increase the damping ratio too much in structural design. When the damping ratio is 0.02, the dynamic amplification coefficient of resonance caused by resonance frequency is more than 20, while the maximum resonance dynamic amplification coefficient caused by bridge velocity is only about 2.5. However, considering that the load amplitude of the former is only 0.2 of the corresponding load value of the latter, it is suggested that the resonance effect in the two cases should be fully considered in the actual design. Finally, the correctness of the analytical derivation is verified by comparing with the existing literature results. In this paper, the analytical formula can be used to analyze the influence of parameters directly and quickly, which provides a reference for the preliminary design.
【作者单位】：西南交通大学土木工程学院;麦吉尔大学土木工程与应用力学系;
【基金】：国家自然科学基金(51378429;51308469) 国家高技术发展研究“863”计划(2011AA11A103) 教育部新世纪优秀人才支持计划(NCET-10-0701) 四川省杰出青年学术技术带头人计划(2010JQ0018) 四川省应用基础研究(2010JY0026) 西南交通大学扬华之星项目
【分类号】：U448.217;U441

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